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diff --git a/docs/articles/FOCUS_D.html b/docs/articles/FOCUS_D.html
index 376acee2..e63feb07 100644
--- a/docs/articles/FOCUS_D.html
+++ b/docs/articles/FOCUS_D.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Example evaluation of FOCUS Example Dataset D</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>FOCUS_D.Rmd</code></div>
@@ -156,18 +156,20 @@
## "d_m1 = + k_parent_m1 * parent - k_m1_sink * m1"</code></pre>
<p>We do the fitting without progress report (<code>quiet = TRUE</code>).</p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1">fit &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(SFO_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE): Observations with
+## value of zero were removed from the data</code></pre>
<p>A plot of the fit including a residual plot for both observed variables is obtained using the <code>plot_sep</code> method for <code>mkinfit</code> objects, which shows separate graphs for all compounds and their residuals.</p>
-<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="kw"><a href="../reference/plot.mkinfit.html">plot_sep</a></span>(fit, <span class="dt">lpos =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"topright"</span>, <span class="st">"bottomright"</span>))</a></code></pre></div>
+<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1"><span class="kw"><a href="../reference/plot.mkinfit.html">plot_sep</a></span>(fit, <span class="dt">lpos =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"topright"</span>, <span class="st">"bottomright"</span>))</a></code></pre></div>
<p><img src="FOCUS_D_files/figure-html/plot-1.png" width="768"></p>
<p>Confidence intervals for the parameter estimates are obtained using the <code>mkinparplot</code> function.</p>
-<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1"><span class="kw"><a href="../reference/mkinparplot.html">mkinparplot</a></span>(fit)</a></code></pre></div>
+<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="../reference/mkinparplot.html">mkinparplot</a></span>(fit)</a></code></pre></div>
<p><img src="FOCUS_D_files/figure-html/plot_2-1.png" width="768"></p>
<p>A comprehensive report of the results is obtained using the <code>summary</code> method for <code>mkinfit</code> objects.</p>
-<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(fit)</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:39 2019
-## Date of summary: Mon Mar 4 14:06:39 2019
+<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(fit)</a></code></pre></div>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:31 2019
+## Date of summary: Wed Apr 10 10:11:31 2019
##
## Equations:
## d_parent/dt = - k_parent_sink * parent - k_parent_m1 * parent
@@ -175,16 +177,18 @@
##
## Model predictions using solution type deSolve
##
-## Fitted with method Port using 153 model solutions performed in 0.693 s
+## Fitted with method using 396 model solutions performed in 1.048 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 100.7500 state
-## k_parent_sink 0.1000 deparm
-## k_parent_m1 0.1001 deparm
-## k_m1_sink 0.1002 deparm
+## value type
+## parent_0 100.750000 state
+## k_parent_sink 0.100000 deparm
+## k_parent_m1 0.100100 deparm
+## k_m1_sink 0.100200 deparm
+## sigma 3.125504 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
@@ -192,6 +196,7 @@
## log_k_parent_sink -2.302585 -Inf Inf
## log_k_parent_m1 -2.301586 -Inf Inf
## log_k_m1_sink -2.300587 -Inf Inf
+## sigma 3.125504 0 Inf
##
## Fixed parameter values:
## value type
@@ -199,29 +204,36 @@
##
## Optimised, transformed parameters with symmetric confidence intervals:
## Estimate Std. Error Lower Upper
-## parent_0 99.600 1.61400 96.330 102.900
-## log_k_parent_sink -3.038 0.07826 -3.197 -2.879
-## log_k_parent_m1 -2.980 0.04124 -3.064 -2.897
-## log_k_m1_sink -5.248 0.13610 -5.523 -4.972
+## parent_0 99.600 1.57000 96.400 102.800
+## log_k_parent_sink -3.038 0.07626 -3.193 -2.883
+## log_k_parent_m1 -2.980 0.04033 -3.062 -2.898
+## log_k_m1_sink -5.248 0.13320 -5.518 -4.977
+## sigma 3.126 0.35850 2.396 3.855
##
## Parameter correlation:
-## parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
-## parent_0 1.00000 0.6075 -0.06625 -0.1701
-## log_k_parent_sink 0.60752 1.0000 -0.08740 -0.6253
-## log_k_parent_m1 -0.06625 -0.0874 1.00000 0.4716
-## log_k_m1_sink -0.17006 -0.6253 0.47164 1.0000
-##
-## Residual standard error: 3.211 on 36 degrees of freedom
+## parent_0 log_k_parent_sink log_k_parent_m1
+## parent_0 1.000e+00 6.067e-01 -6.372e-02
+## log_k_parent_sink 6.067e-01 1.000e+00 -8.550e-02
+## log_k_parent_m1 -6.372e-02 -8.550e-02 1.000e+00
+## log_k_m1_sink -1.688e-01 -6.252e-01 4.731e-01
+## sigma -3.368e-07 3.365e-08 8.420e-07
+## log_k_m1_sink sigma
+## parent_0 -1.688e-01 -3.368e-07
+## log_k_parent_sink -6.252e-01 3.365e-08
+## log_k_parent_m1 4.731e-01 8.420e-07
+## log_k_m1_sink 1.000e+00 1.958e-08
+## sigma 1.958e-08 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 99.600000 61.720 2.024e-38 96.330000 1.029e+02
-## k_parent_sink 0.047920 12.780 3.050e-15 0.040890 5.616e-02
-## k_parent_m1 0.050780 24.250 3.407e-24 0.046700 5.521e-02
-## k_m1_sink 0.005261 7.349 5.758e-09 0.003992 6.933e-03
+## parent_0 99.600000 63.430 2.298e-36 96.400000 1.028e+02
+## k_parent_sink 0.047920 13.110 6.126e-15 0.041030 5.596e-02
+## k_parent_m1 0.050780 24.800 3.269e-23 0.046780 5.512e-02
+## k_m1_sink 0.005261 7.510 6.165e-09 0.004012 6.898e-03
+## sigma 3.126000 8.718 2.235e-10 2.396000 3.855e+00
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -246,10 +258,10 @@
## 0 parent 102.04 99.59848 2.442e+00
## 1 parent 93.50 90.23787 3.262e+00
## 1 parent 92.50 90.23787 2.262e+00
-## 3 parent 63.23 74.07320 -1.084e+01
-## 3 parent 68.99 74.07320 -5.083e+00
-## 7 parent 52.32 49.91207 2.408e+00
-## 7 parent 55.13 49.91207 5.218e+00
+## 3 parent 63.23 74.07319 -1.084e+01
+## 3 parent 68.99 74.07319 -5.083e+00
+## 7 parent 52.32 49.91206 2.408e+00
+## 7 parent 55.13 49.91206 5.218e+00
## 14 parent 27.27 25.01257 2.257e+00
## 14 parent 26.64 25.01257 1.627e+00
## 21 parent 11.50 12.53462 -1.035e+00
@@ -259,23 +271,21 @@
## 50 parent 0.69 0.71624 -2.624e-02
## 50 parent 0.63 0.71624 -8.624e-02
## 75 parent 0.05 0.06074 -1.074e-02
-## 75 parent 0.06 0.06074 -7.382e-04
-## 0 m1 0.00 0.00000 0.000e+00
-## 0 m1 0.00 0.00000 0.000e+00
+## 75 parent 0.06 0.06074 -7.381e-04
## 1 m1 4.84 4.80296 3.704e-02
## 1 m1 5.64 4.80296 8.370e-01
## 3 m1 12.91 13.02400 -1.140e-01
## 3 m1 12.96 13.02400 -6.400e-02
## 7 m1 22.97 25.04476 -2.075e+00
## 7 m1 24.47 25.04476 -5.748e-01
-## 14 m1 41.69 36.69002 5.000e+00
-## 14 m1 33.21 36.69002 -3.480e+00
+## 14 m1 41.69 36.69003 5.000e+00
+## 14 m1 33.21 36.69003 -3.480e+00
## 21 m1 44.37 41.65310 2.717e+00
## 21 m1 46.44 41.65310 4.787e+00
## 35 m1 41.22 43.31312 -2.093e+00
## 35 m1 37.95 43.31312 -5.363e+00
-## 50 m1 41.19 41.21831 -2.831e-02
-## 50 m1 40.01 41.21831 -1.208e+00
+## 50 m1 41.19 41.21832 -2.832e-02
+## 50 m1 40.01 41.21832 -1.208e+00
## 75 m1 40.09 36.44704 3.643e+00
## 75 m1 33.85 36.44704 -2.597e+00
## 100 m1 31.04 31.98163 -9.416e-01
diff --git a/docs/articles/FOCUS_D_files/figure-html/plot-1.png b/docs/articles/FOCUS_D_files/figure-html/plot-1.png
index c0fab72d..b8f2fe94 100644
--- a/docs/articles/FOCUS_D_files/figure-html/plot-1.png
+++ b/docs/articles/FOCUS_D_files/figure-html/plot-1.png
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diff --git a/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png b/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png
index 47916477..79ec3aaf 100644
--- a/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png
+++ b/docs/articles/FOCUS_D_files/figure-html/plot_2-1.png
Binary files differ
diff --git a/docs/articles/FOCUS_L.html b/docs/articles/FOCUS_L.html
index 5dac9999..8af99f6c 100644
--- a/docs/articles/FOCUS_L.html
+++ b/docs/articles/FOCUS_L.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Example evaluation of FOCUS Laboratory Data L1 to L3</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>FOCUS_L.Rmd</code></div>
@@ -112,52 +112,56 @@
<p>Since mkin version 0.9-32 (July 2014), we can use shorthand notation like <code>"SFO"</code> for parent only degradation models. The following two lines fit the model and produce the summary report of the model fit. This covers the numerical analysis given in the FOCUS report.</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" title="1">m.L1.SFO &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"SFO"</span>, FOCUS_<span class="dv">2006</span>_L1_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
<a class="sourceLine" id="cb2-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L1.SFO)</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:41 2019
-## Date of summary: Mon Mar 4 14:06:41 2019
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:33 2019
+## Date of summary: Wed Apr 10 10:11:33 2019
##
## Equations:
## d_parent/dt = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 37 model solutions performed in 0.095 s
+## Fitted with method using 133 model solutions performed in 0.344 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 89.85 state
-## k_parent_sink 0.10 deparm
+## value type
+## parent_0 89.850000 state
+## k_parent_sink 0.100000 deparm
+## sigma 2.779827 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
## parent_0 89.850000 -Inf Inf
## log_k_parent_sink -2.302585 -Inf Inf
+## sigma 2.779827 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
## Estimate Std. Error Lower Upper
-## parent_0 92.470 1.36800 89.570 95.370
-## log_k_parent_sink -2.347 0.04057 -2.433 -2.261
+## parent_0 92.470 1.28200 89.740 95.200
+## log_k_parent_sink -2.347 0.03763 -2.428 -2.267
+## sigma 2.780 0.46330 1.792 3.767
##
## Parameter correlation:
-## parent_0 log_k_parent_sink
-## parent_0 1.0000 0.6248
-## log_k_parent_sink 0.6248 1.0000
-##
-## Residual standard error: 2.948 on 16 degrees of freedom
+## parent_0 log_k_parent_sink sigma
+## parent_0 1.000e+00 6.186e-01 -1.712e-09
+## log_k_parent_sink 6.186e-01 1.000e+00 -3.237e-09
+## sigma -1.712e-09 -3.237e-09 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 92.47000 67.58 2.170e-21 89.57000 95.3700
-## k_parent_sink 0.09561 24.65 1.867e-14 0.08773 0.1042
+## parent_0 92.47000 72.13 8.824e-21 89.74000 95.2000
+## k_parent_sink 0.09561 26.57 2.487e-14 0.08824 0.1036
+## sigma 2.78000 6.00 1.216e-05 1.79200 3.7670
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -199,61 +203,76 @@
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="../reference/mkinresplot.html">mkinresplot</a></span>(m.L1.SFO, <span class="dt">ylab =</span> <span class="st">"Observed"</span>, <span class="dt">xlab =</span> <span class="st">"Time"</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-5-1.png" width="576"></p>
<p>For comparison, the FOMC model is fitted as well, and the <span class="math inline">\(\chi^2\)</span> error level is checked.</p>
-<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1">m.L1.FOMC &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L1_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb6-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L1.FOMC, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="st">"FOCUS L1 - FOMC"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1">m.L1.FOMC &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L1_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit("FOMC", FOCUS_2006_L1_mkin, quiet = TRUE): Optimisation did not converge:
+## false convergence (8)</code></pre>
+<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L1.FOMC, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="st">"FOCUS L1 - FOMC"</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-6-1.png" width="576"></p>
-<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L1.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:43 2019
-## Date of summary: Mon Mar 4 14:06:43 2019
+<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L1.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
+## finite result is doubtful</code></pre>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:34 2019
+## Date of summary: Wed Apr 10 10:11:34 2019
+##
+##
+## Warning: Optimisation did not converge:
+## false convergence (8)
+##
##
## Equations:
## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 611 model solutions performed in 1.502 s
+## Fitted with method using 344 model solutions performed in 0.778 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 89.85 state
-## alpha 1.00 deparm
-## beta 10.00 deparm
+## value type
+## parent_0 89.85000 state
+## alpha 1.00000 deparm
+## beta 10.00000 deparm
+## sigma 2.77987 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
## parent_0 89.850000 -Inf Inf
## log_alpha 0.000000 -Inf Inf
## log_beta 2.302585 -Inf Inf
+## sigma 2.779870 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 92.47 1.482 89.31 95.63
-## log_alpha 11.25 598.200 -1264.00 1286.00
-## log_beta 13.60 598.200 -1261.00 1289.00
+## Estimate Std. Error Lower Upper
+## parent_0 92.47 1.2810 89.720 95.220
+## log_alpha 10.60 NaN NaN NaN
+## log_beta 12.95 NaN NaN NaN
+## sigma 2.78 0.4554 1.803 3.757
##
## Parameter correlation:
-## parent_0 log_alpha log_beta
-## parent_0 1.0000 -0.3016 -0.3016
-## log_alpha -0.3016 1.0000 1.0000
-## log_beta -0.3016 1.0000 1.0000
-##
-## Residual standard error: 3.045 on 15 degrees of freedom
+## parent_0 log_alpha log_beta sigma
+## parent_0 1.000000 NaN NaN 0.008714
+## log_alpha NaN 1 NaN NaN
+## log_beta NaN NaN 1 NaN
+## sigma 0.008714 NaN NaN 1.000000
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
-## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 92.47 64.45000 4.757e-20 89.31 95.63
-## alpha 76830.00 0.02852 4.888e-01 0.00 Inf
-## beta 803500.00 0.02852 4.888e-01 0.00 Inf
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 92.47 72.13000 1.052e-19 89.720 95.220
+## alpha 40090.00 0.02388 4.906e-01 NA NA
+## beta 419300.00 0.02388 4.906e-01 NA NA
+## sigma 2.78 6.00000 1.628e-05 1.803 3.757
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -262,7 +281,7 @@
##
## Estimated disappearance times:
## DT50 DT90 DT50back
-## parent 7.249 24.08 7.249</code></pre>
+## parent 7.249 24.08 7.25</code></pre>
<p>We get a warning that the default optimisation algorithm <code>Port</code> did not converge, which is an indication that the model is overparameterised, <em>i.e.</em> contains too many parameters that are ill-defined as a consequence.</p>
<p>And in fact, due to the higher number of parameters, and the lower number of degrees of freedom of the fit, the <span class="math inline">\(\chi^2\)</span> error level is actually higher for the FOMC model (3.6%) than for the SFO model (3.4%). Additionally, the parameters <code>log_alpha</code> and <code>log_beta</code> internally fitted in the model have excessive confidence intervals, that span more than 25 orders of magnitude (!) when backtransformed to the scale of <code>alpha</code> and <code>beta</code>. Also, the t-test for significant difference from zero does not indicate such a significant difference, with p-values greater than 0.1, and finally, the parameter correlation of <code>log_alpha</code> and <code>log_beta</code> is 1.000, clearly indicating that the model is overparameterised.</p>
<p>The <span class="math inline">\(\chi^2\)</span> error levels reported in Appendix 3 and Appendix 7 to the FOCUS kinetics report are rounded to integer percentages and partly deviate by one percentage point from the results calculated by mkin. The reason for this is not known. However, mkin gives the same <span class="math inline">\(\chi^2\)</span> error levels as the kinfit package and the calculation routines of the kinfit package have been extensively compared to the results obtained by the KinGUI software, as documented in the kinfit package vignette. KinGUI was the first widely used standard package in this field. Also, the calculation of <span class="math inline">\(\chi^2\)</span> error levels was compared with KinGUII, CAKE and DegKin manager in a project sponsored by the German Umweltbundesamt <span class="citation">(Ranke 2014)</span>.</p>
@@ -271,19 +290,19 @@
<h1 class="hasAnchor">
<a href="#laboratory-data-l2" class="anchor"></a>Laboratory Data L2</h1>
<p>The following code defines example dataset L2 from the FOCUS kinetics report, p. 287:</p>
-<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1">FOCUS_<span class="dv">2006</span>_L2 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a>
-<a class="sourceLine" id="cb9-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/rep">rep</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">28</span>), <span class="dt">each =</span> <span class="dv">2</span>),</a>
-<a class="sourceLine" id="cb9-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.1</span>, <span class="fl">91.8</span>, <span class="fl">41.4</span>, <span class="fl">38.7</span>,</a>
-<a class="sourceLine" id="cb9-4" title="4"> <span class="fl">19.3</span>, <span class="fl">22.3</span>, <span class="fl">4.6</span>, <span class="fl">4.6</span>,</a>
-<a class="sourceLine" id="cb9-5" title="5"> <span class="fl">2.6</span>, <span class="fl">1.2</span>, <span class="fl">0.3</span>, <span class="fl">0.6</span>))</a>
-<a class="sourceLine" id="cb9-6" title="6">FOCUS_<span class="dv">2006</span>_L2_mkin &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L2)</a></code></pre></div>
+<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1">FOCUS_<span class="dv">2006</span>_L2 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a>
+<a class="sourceLine" id="cb14-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/rep">rep</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">1</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">28</span>), <span class="dt">each =</span> <span class="dv">2</span>),</a>
+<a class="sourceLine" id="cb14-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.1</span>, <span class="fl">91.8</span>, <span class="fl">41.4</span>, <span class="fl">38.7</span>,</a>
+<a class="sourceLine" id="cb14-4" title="4"> <span class="fl">19.3</span>, <span class="fl">22.3</span>, <span class="fl">4.6</span>, <span class="fl">4.6</span>,</a>
+<a class="sourceLine" id="cb14-5" title="5"> <span class="fl">2.6</span>, <span class="fl">1.2</span>, <span class="fl">0.3</span>, <span class="fl">0.6</span>))</a>
+<a class="sourceLine" id="cb14-6" title="6">FOCUS_<span class="dv">2006</span>_L2_mkin &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L2)</a></code></pre></div>
<div id="sfo-fit-for-l2" class="section level2">
<h2 class="hasAnchor">
<a href="#sfo-fit-for-l2" class="anchor"></a>SFO fit for L2</h2>
<p>Again, the SFO model is fitted and the result is plotted. The residual plot can be obtained simply by adding the argument <code>show_residuals</code> to the plot command.</p>
-<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1">m.L2.SFO &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"SFO"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb10-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.SFO, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a>
-<a class="sourceLine" id="cb10-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - SFO"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1">m.L2.SFO &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"SFO"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet=</span><span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb15-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.SFO, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a>
+<a class="sourceLine" id="cb15-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - SFO"</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-8-1.png" width="672"></p>
<p>The <span class="math inline">\(\chi^2\)</span> error level of 14% suggests that the model does not fit very well. This is also obvious from the plots of the fit, in which we have included the residual plot.</p>
<p>In the FOCUS kinetics report, it is stated that there is no apparent systematic error observed from the residual plot up to the measured DT90 (approximately at day 5), and there is an underestimation beyond that point.</p>
@@ -293,62 +312,66 @@
<h2 class="hasAnchor">
<a href="#fomc-fit-for-l2" class="anchor"></a>FOMC fit for L2</h2>
<p>For comparison, the FOMC model is fitted as well, and the <span class="math inline">\(\chi^2\)</span> error level is checked.</p>
-<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1">m.L2.FOMC &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb11-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.FOMC, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>,</a>
-<a class="sourceLine" id="cb11-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - FOMC"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">m.L2.FOMC &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"FOMC"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb16-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.FOMC, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>,</a>
+<a class="sourceLine" id="cb16-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - FOMC"</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-9-1.png" width="672"></p>
-<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:43 2019
-## Date of summary: Mon Mar 4 14:06:43 2019
+<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:35 2019
+## Date of summary: Wed Apr 10 10:11:35 2019
##
## Equations:
## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 81 model solutions performed in 0.196 s
+## Fitted with method using 240 model solutions performed in 0.564 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 93.95 state
-## alpha 1.00 deparm
-## beta 10.00 deparm
+## value type
+## parent_0 93.950000 state
+## alpha 1.000000 deparm
+## beta 10.000000 deparm
+## sigma 2.275722 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
## parent_0 93.950000 -Inf Inf
## log_alpha 0.000000 -Inf Inf
## log_beta 2.302585 -Inf Inf
+## sigma 2.275722 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 93.7700 1.8560 89.5700 97.9700
-## log_alpha 0.3180 0.1867 -0.1044 0.7405
-## log_beta 0.2102 0.2943 -0.4555 0.8759
+## Estimate Std. Error Lower Upper
+## parent_0 93.7700 1.6130 90.05000 97.4900
+## log_alpha 0.3180 0.1559 -0.04149 0.6776
+## log_beta 0.2102 0.2493 -0.36460 0.7850
+## sigma 2.2760 0.4645 1.20500 3.3470
##
## Parameter correlation:
-## parent_0 log_alpha log_beta
-## parent_0 1.00000 -0.09553 -0.1863
-## log_alpha -0.09553 1.00000 0.9757
-## log_beta -0.18628 0.97567 1.0000
-##
-## Residual standard error: 2.628 on 9 degrees of freedom
+## parent_0 log_alpha log_beta sigma
+## parent_0 1.000e+00 -1.151e-01 -2.085e-01 1.606e-08
+## log_alpha -1.151e-01 1.000e+00 9.741e-01 -1.168e-07
+## log_beta -2.085e-01 9.741e-01 1.000e+00 -1.029e-07
+## sigma 1.606e-08 -1.168e-07 -1.029e-07 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 93.770 50.510 1.173e-12 89.5700 97.970
-## alpha 1.374 5.355 2.296e-04 0.9009 2.097
-## beta 1.234 3.398 3.949e-03 0.6341 2.401
+## parent_0 93.770 58.120 4.267e-12 90.0500 97.490
+## alpha 1.374 6.414 1.030e-04 0.9594 1.969
+## beta 1.234 4.012 1.942e-03 0.6945 2.192
+## sigma 2.276 4.899 5.977e-04 1.2050 3.347
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -364,17 +387,15 @@
<h2 class="hasAnchor">
<a href="#dfop-fit-for-l2" class="anchor"></a>DFOP fit for L2</h2>
<p>Fitting the four parameter DFOP model further reduces the <span class="math inline">\(\chi^2\)</span> error level.</p>
-<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1">m.L2.DFOP &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"DFOP"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb14-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.DFOP, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a>
-<a class="sourceLine" id="cb14-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - DFOP"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1">m.L2.DFOP &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkinfit.html">mkinfit</a></span>(<span class="st">"DFOP"</span>, FOCUS_<span class="dv">2006</span>_L2_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb19-2" title="2"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(m.L2.DFOP, <span class="dt">show_residuals =</span> <span class="ot">TRUE</span>, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>,</a>
+<a class="sourceLine" id="cb19-3" title="3"> <span class="dt">main =</span> <span class="st">"FOCUS L2 - DFOP"</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-10-1.png" width="672"></p>
-<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.DFOP, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(m.L2.DFOP, data = FALSE): Could not estimate
-## covariance matrix; singular system.</code></pre>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:44 2019
-## Date of summary: Mon Mar 4 14:06:44 2019
+<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.L2.DFOP, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:37 2019
+## Date of summary: Wed Apr 10 10:11:37 2019
##
## Equations:
## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) *
@@ -383,16 +404,18 @@
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 336 model solutions performed in 0.84 s
+## Fitted with method using 585 model solutions performed in 1.296 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 93.95 state
-## k1 0.10 deparm
-## k2 0.01 deparm
-## g 0.50 deparm
+## value type
+## parent_0 93.950000 state
+## k1 0.100000 deparm
+## k2 0.010000 deparm
+## g 0.500000 deparm
+## sigma 1.413899 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
@@ -400,30 +423,37 @@
## log_k1 -2.302585 -Inf Inf
## log_k2 -4.605170 -Inf Inf
## g_ilr 0.000000 -Inf Inf
+## sigma 1.413899 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 93.9500 NA NA NA
-## log_k1 3.1370 NA NA NA
-## log_k2 -1.0880 NA NA NA
-## g_ilr -0.2821 NA NA NA
+## Estimate Std. Error Lower Upper
+## parent_0 93.9500 9.998e-01 91.5900 96.3100
+## log_k1 3.1350 2.336e+03 -5522.0000 5528.0000
+## log_k2 -1.0880 6.285e-02 -1.2370 -0.9394
+## g_ilr -0.2821 7.033e-02 -0.4484 -0.1158
+## sigma 1.4140 2.886e-01 0.7314 2.0960
##
## Parameter correlation:
-## Could not estimate covariance matrix; singular system.
-## Residual standard error: 1.732 on 8 degrees of freedom
+## parent_0 log_k1 log_k2 g_ilr sigma
+## parent_0 1.000e+00 5.247e-07 -1.026e-10 2.665e-01 -8.076e-11
+## log_k1 5.247e-07 1.000e+00 8.592e-05 -1.690e-04 -7.938e-06
+## log_k2 -1.026e-10 8.592e-05 1.000e+00 -7.903e-01 5.048e-10
+## g_ilr 2.665e-01 -1.690e-04 -7.903e-01 1.000e+00 -6.476e-10
+## sigma -8.076e-11 -7.938e-06 5.048e-10 -6.476e-10 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
-## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 93.9500 NA NA NA NA
-## k1 23.0400 NA NA NA NA
-## k2 0.3369 NA NA NA NA
-## g 0.4016 NA NA NA NA
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 93.9500 9.397e+01 2.036e-12 91.5900 96.3100
+## k1 23.0000 4.377e-04 4.998e-01 0.0000 Inf
+## k2 0.3369 1.591e+01 4.697e-07 0.2904 0.3909
+## g 0.4016 1.680e+01 3.238e-07 0.3466 0.4591
+## sigma 1.4140 4.899e+00 8.776e-04 0.7314 2.0960
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -432,7 +462,7 @@
##
## Estimated disappearance times:
## DT50 DT90 DT50_k1 DT50_k2
-## parent 0.5335 5.311 0.03009 2.058</code></pre>
+## parent 0.5335 5.311 0.03014 2.058</code></pre>
<p>Here, the DFOP model is clearly the best-fit model for dataset L2 based on the chi^2 error level criterion. However, the failure to calculate the covariance matrix indicates that the parameter estimates correlate excessively. Therefore, the FOMC model may be preferred for this dataset.</p>
</div>
</div>
@@ -440,18 +470,18 @@
<h1 class="hasAnchor">
<a href="#laboratory-data-l3" class="anchor"></a>Laboratory Data L3</h1>
<p>The following code defines example dataset L3 from the FOCUS kinetics report, p. 290.</p>
-<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb18-1" title="1">FOCUS_<span class="dv">2006</span>_L3 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a>
-<a class="sourceLine" id="cb18-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a>
-<a class="sourceLine" id="cb18-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">97.8</span>, <span class="dv">60</span>, <span class="dv">51</span>, <span class="dv">43</span>, <span class="dv">35</span>, <span class="dv">22</span>, <span class="dv">15</span>, <span class="dv">12</span>))</a>
-<a class="sourceLine" id="cb18-4" title="4">FOCUS_<span class="dv">2006</span>_L3_mkin &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L3)</a></code></pre></div>
+<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1">FOCUS_<span class="dv">2006</span>_L3 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a>
+<a class="sourceLine" id="cb22-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a>
+<a class="sourceLine" id="cb22-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">97.8</span>, <span class="dv">60</span>, <span class="dv">51</span>, <span class="dv">43</span>, <span class="dv">35</span>, <span class="dv">22</span>, <span class="dv">15</span>, <span class="dv">12</span>))</a>
+<a class="sourceLine" id="cb22-4" title="4">FOCUS_<span class="dv">2006</span>_L3_mkin &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L3)</a></code></pre></div>
<div id="fit-multiple-models" class="section level2">
<h2 class="hasAnchor">
<a href="#fit-multiple-models" class="anchor"></a>Fit multiple models</h2>
<p>As of mkin version 0.9-39 (June 2015), we can fit several models to one or more datasets in one call to the function <code>mmkin</code>. The datasets have to be passed in a list, in this case a named list holding only the L3 dataset prepared above.</p>
-<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a>
-<a class="sourceLine" id="cb19-2" title="2">mm.L3 &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a>
-<a class="sourceLine" id="cb19-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L3"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L3_mkin), <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb19-4" title="4"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3)</a></code></pre></div>
+<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a>
+<a class="sourceLine" id="cb23-2" title="2">mm.L3 &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a>
+<a class="sourceLine" id="cb23-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L3"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L3_mkin), <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb23-4" title="4"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-12-1.png" width="700"></p>
<p>The <span class="math inline">\(\chi^2\)</span> error level of 21% as well as the plot suggest that the SFO model does not fit very well. The FOMC model performs better, with an error level at which the <span class="math inline">\(\chi^2\)</span> test passes of 7%. Fitting the four parameter DFOP model further reduces the <span class="math inline">\(\chi^2\)</span> error level considerably.</p>
</div>
@@ -460,11 +490,11 @@
<a href="#accessing-mmkin-objects" class="anchor"></a>Accessing mmkin objects</h2>
<p>The objects returned by mmkin are arranged like a matrix, with models as a row index and datasets as a column index.</p>
<p>We can extract the summary and plot for <em>e.g.</em> the DFOP fit, using square brackets for indexing which will result in the use of the summary and plot functions working on mkinfit objects.</p>
-<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]])</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:45 2019
-## Date of summary: Mon Mar 4 14:06:46 2019
+<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb24-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]])</a></code></pre></div>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:39 2019
+## Date of summary: Wed Apr 10 10:11:39 2019
##
## Equations:
## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) *
@@ -473,16 +503,18 @@
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 137 model solutions performed in 0.343 s
+## Fitted with method using 372 model solutions performed in 0.809 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 97.80 state
-## k1 0.10 deparm
-## k2 0.01 deparm
-## g 0.50 deparm
+## value type
+## parent_0 97.800000 state
+## k1 0.100000 deparm
+## k2 0.010000 deparm
+## g 0.500000 deparm
+## sigma 1.017292 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
@@ -490,35 +522,37 @@
## log_k1 -2.302585 -Inf Inf
## log_k2 -4.605170 -Inf Inf
## g_ilr 0.000000 -Inf Inf
+## sigma 1.017292 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 97.7500 1.43800 93.7500 101.70000
-## log_k1 -0.6612 0.13340 -1.0310 -0.29100
-## log_k2 -4.2860 0.05902 -4.4500 -4.12200
-## g_ilr -0.1229 0.05121 -0.2651 0.01925
+## Estimate Std. Error Lower Upper
+## parent_0 97.7500 1.01900 94.5000 101.000000
+## log_k1 -0.6612 0.10050 -0.9812 -0.341300
+## log_k2 -4.2860 0.04322 -4.4230 -4.148000
+## g_ilr -0.1229 0.03727 -0.2415 -0.004343
+## sigma 1.0170 0.25430 0.2079 1.827000
##
## Parameter correlation:
-## parent_0 log_k1 log_k2 g_ilr
-## parent_0 1.00000 0.1640 0.01315 0.4253
-## log_k1 0.16400 1.0000 0.46478 -0.5526
-## log_k2 0.01315 0.4648 1.00000 -0.6631
-## g_ilr 0.42526 -0.5526 -0.66310 1.0000
-##
-## Residual standard error: 1.439 on 4 degrees of freedom
+## parent_0 log_k1 log_k2 g_ilr sigma
+## parent_0 1.000e+00 1.732e-01 2.282e-02 4.009e-01 1.656e-07
+## log_k1 1.732e-01 1.000e+00 4.945e-01 -5.809e-01 6.759e-08
+## log_k2 2.282e-02 4.945e-01 1.000e+00 -6.812e-01 3.867e-07
+## g_ilr 4.009e-01 -5.809e-01 -6.812e-01 1.000e+00 -3.839e-07
+## sigma 1.656e-07 6.759e-08 3.867e-07 -3.839e-07 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 97.75000 67.970 1.404e-07 93.75000 101.70000
-## k1 0.51620 7.499 8.460e-04 0.35650 0.74750
-## k2 0.01376 16.940 3.557e-05 0.01168 0.01621
-## g 0.45660 25.410 7.121e-06 0.40730 0.50680
+## parent_0 97.75000 95.960 1.248e-06 94.50000 101.00000
+## k1 0.51620 9.947 1.081e-03 0.37490 0.71090
+## k2 0.01376 23.140 8.840e-05 0.01199 0.01579
+## g 0.45660 34.920 2.581e-05 0.41540 0.49850
+## sigma 1.01700 4.000 1.400e-02 0.20790 1.82700
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -539,7 +573,7 @@
## 60 parent 22.0 23.26 -1.25919
## 91 parent 15.0 15.18 -0.18181
## 120 parent 12.0 10.19 1.81395</code></pre>
-<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]], <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]], <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-13-1.png" width="700"></p>
<p>Here, a look to the model plot, the confidence intervals of the parameters and the correlation matrix suggest that the parameter estimates are reliable, and the DFOP model can be used as the best-fit model based on the <span class="math inline">\(\chi^2\)</span> error level criterion for laboratory data L3.</p>
<p>This is also an example where the standard t-test for the parameter <code>g_ilr</code> is misleading, as it tests for a significant difference from zero. In this case, zero appears to be the correct value for this parameter, and the confidence interval for the backtransformed parameter <code>g</code> is quite narrow.</p>
@@ -549,65 +583,69 @@
<h1 class="hasAnchor">
<a href="#laboratory-data-l4" class="anchor"></a>Laboratory Data L4</h1>
<p>The following code defines example dataset L4 from the FOCUS kinetics report, p. 293:</p>
-<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1">FOCUS_<span class="dv">2006</span>_L4 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a>
-<a class="sourceLine" id="cb23-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a>
-<a class="sourceLine" id="cb23-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.6</span>, <span class="fl">96.3</span>, <span class="fl">94.3</span>, <span class="fl">88.8</span>, <span class="fl">74.9</span>, <span class="fl">59.9</span>, <span class="fl">53.5</span>, <span class="fl">49.0</span>))</a>
-<a class="sourceLine" id="cb23-4" title="4">FOCUS_<span class="dv">2006</span>_L4_mkin &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L4)</a></code></pre></div>
+<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1">FOCUS_<span class="dv">2006</span>_L4 =<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/data.frame">data.frame</a></span>(</a>
+<a class="sourceLine" id="cb27-2" title="2"> <span class="dt">t =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dv">0</span>, <span class="dv">3</span>, <span class="dv">7</span>, <span class="dv">14</span>, <span class="dv">30</span>, <span class="dv">60</span>, <span class="dv">91</span>, <span class="dv">120</span>),</a>
+<a class="sourceLine" id="cb27-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="fl">96.6</span>, <span class="fl">96.3</span>, <span class="fl">94.3</span>, <span class="fl">88.8</span>, <span class="fl">74.9</span>, <span class="fl">59.9</span>, <span class="fl">53.5</span>, <span class="fl">49.0</span>))</a>
+<a class="sourceLine" id="cb27-4" title="4">FOCUS_<span class="dv">2006</span>_L4_mkin &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mkin_wide_to_long.html">mkin_wide_to_long</a></span>(FOCUS_<span class="dv">2006</span>_L4)</a></code></pre></div>
<p>Fits of the SFO and FOMC models, plots and summaries are produced below:</p>
-<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb24-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a>
-<a class="sourceLine" id="cb24-2" title="2">mm.L4 &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a>
-<a class="sourceLine" id="cb24-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L4"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L4_mkin),</a>
-<a class="sourceLine" id="cb24-4" title="4"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb24-5" title="5"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L4)</a></code></pre></div>
+<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a>
+<a class="sourceLine" id="cb28-2" title="2">mm.L4 &lt;-<span class="st"> </span><span class="kw"><a href="../reference/mmkin.html">mmkin</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>), <span class="dt">cores =</span> <span class="dv">1</span>,</a>
+<a class="sourceLine" id="cb28-3" title="3"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="st">"FOCUS L4"</span> =<span class="st"> </span>FOCUS_<span class="dv">2006</span>_L4_mkin),</a>
+<a class="sourceLine" id="cb28-4" title="4"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb28-5" title="5"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(mm.L4)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-15-1.png" width="700"></p>
<p>The <span class="math inline">\(\chi^2\)</span> error level of 3.3% as well as the plot suggest that the SFO model fits very well. The error level at which the <span class="math inline">\(\chi^2\)</span> test passes is slightly lower for the FOMC model. However, the difference appears negligible.</p>
-<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"SFO"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:46 2019
-## Date of summary: Mon Mar 4 14:06:46 2019
+<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"SFO"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:39 2019
+## Date of summary: Wed Apr 10 10:11:40 2019
##
## Equations:
## d_parent/dt = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 46 model solutions performed in 0.111 s
+## Fitted with method using 146 model solutions performed in 0.306 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 96.6 state
-## k_parent_sink 0.1 deparm
+## value type
+## parent_0 96.60000 state
+## k_parent_sink 0.10000 deparm
+## sigma 3.16181 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
## parent_0 96.600000 -Inf Inf
## log_k_parent_sink -2.302585 -Inf Inf
+## sigma 3.161810 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
## Estimate Std. Error Lower Upper
-## parent_0 96.44 1.94900 91.670 101.200
-## log_k_parent_sink -5.03 0.07999 -5.225 -4.834
+## parent_0 96.440 1.69900 92.070 100.800
+## log_k_parent_sink -5.030 0.07059 -5.211 -4.848
+## sigma 3.162 0.79050 1.130 5.194
##
## Parameter correlation:
-## parent_0 log_k_parent_sink
-## parent_0 1.0000 0.5865
-## log_k_parent_sink 0.5865 1.0000
-##
-## Residual standard error: 3.651 on 6 degrees of freedom
+## parent_0 log_k_parent_sink sigma
+## parent_0 1.000e+00 5.938e-01 5.612e-10
+## log_k_parent_sink 5.938e-01 1.000e+00 -4.994e-10
+## sigma 5.612e-10 -4.994e-10 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 96.440000 49.49 2.283e-09 91.670000 1.012e+02
-## k_parent_sink 0.006541 12.50 8.008e-06 0.005378 7.955e-03
+## parent_0 96.440000 56.77 1.604e-08 92.070000 1.008e+02
+## k_parent_sink 0.006541 14.17 1.578e-05 0.005455 7.842e-03
+## sigma 3.162000 4.00 5.162e-03 1.130000 5.194e+00
##
## Chi2 error levels in percent:
## err.min n.optim df
@@ -621,58 +659,62 @@
## Estimated disappearance times:
## DT50 DT90
## parent 106 352</code></pre>
-<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"FOMC"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
-<pre><code>## mkin version used for fitting: 0.9.48.1
-## R version used for fitting: 3.5.2
-## Date of fit: Mon Mar 4 14:06:46 2019
-## Date of summary: Mon Mar 4 14:06:46 2019
+<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb31-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(mm.L4[[<span class="st">"FOMC"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## mkin version used for fitting: 0.9.49.4
+## R version used for fitting: 3.5.3
+## Date of fit: Wed Apr 10 10:11:40 2019
+## Date of summary: Wed Apr 10 10:11:40 2019
##
## Equations:
## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted with method Port using 66 model solutions performed in 0.173 s
+## Fitted with method using 224 model solutions performed in 0.478 s
##
-## Weighting: none
+## Error model:
+## NULL
##
## Starting values for parameters to be optimised:
-## value type
-## parent_0 96.6 state
-## alpha 1.0 deparm
-## beta 10.0 deparm
+## value type
+## parent_0 96.600000 state
+## alpha 1.000000 deparm
+## beta 10.000000 deparm
+## sigma 1.830055 error
##
## Starting values for the transformed parameters actually optimised:
## value lower upper
## parent_0 96.600000 -Inf Inf
## log_alpha 0.000000 -Inf Inf
## log_beta 2.302585 -Inf Inf
+## sigma 1.830055 0 Inf
##
## Fixed parameter values:
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 99.1400 1.6800 94.820 103.5000
-## log_alpha -0.3506 0.3725 -1.308 0.6068
-## log_beta 4.1740 0.5635 2.726 5.6230
+## Estimate Std. Error Lower Upper
+## parent_0 99.1400 1.2670 95.6300 102.7000
+## log_alpha -0.3506 0.2616 -1.0770 0.3756
+## log_beta 4.1740 0.3938 3.0810 5.2670
+## sigma 1.8300 0.4575 0.5598 3.1000
##
## Parameter correlation:
-## parent_0 log_alpha log_beta
-## parent_0 1.0000 -0.5365 -0.6083
-## log_alpha -0.5365 1.0000 0.9913
-## log_beta -0.6083 0.9913 1.0000
-##
-## Residual standard error: 2.315 on 5 degrees of freedom
+## parent_0 log_alpha log_beta sigma
+## parent_0 1.000e+00 -4.696e-01 -5.543e-01 -2.460e-07
+## log_alpha -4.696e-01 1.000e+00 9.889e-01 2.351e-08
+## log_beta -5.543e-01 9.889e-01 1.000e+00 5.079e-08
+## sigma -2.460e-07 2.351e-08 5.079e-08 1.000e+00
##
## Backtransformed parameters:
## Confidence intervals for internally transformed parameters are asymmetric.
## t-test (unrealistically) based on the assumption of normal distribution
## for estimators of untransformed parameters.
## Estimate t value Pr(&gt;t) Lower Upper
-## parent_0 99.1400 59.020 1.322e-08 94.8200 103.500
-## alpha 0.7042 2.685 2.178e-02 0.2703 1.835
-## beta 64.9800 1.775 6.807e-02 15.2600 276.600
+## parent_0 99.1400 78.250 7.993e-08 95.6300 102.700
+## alpha 0.7042 3.823 9.365e-03 0.3407 1.456
+## beta 64.9800 2.540 3.201e-02 21.7800 193.900
+## sigma 1.8300 4.000 8.065e-03 0.5598 3.100
##
## Chi2 error levels in percent:
## err.min n.optim df
diff --git a/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png b/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png
index 770db292..6e4ccb9d 100644
--- a/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png
+++ b/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-12-1.png
Binary files differ
diff --git a/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-6-1.png b/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-6-1.png
index ee225461..0a403808 100644
--- a/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-6-1.png
+++ b/docs/articles/FOCUS_L_files/figure-html/unnamed-chunk-6-1.png
Binary files differ
diff --git a/docs/articles/index.html b/docs/articles/index.html
index 9381dedb..eb2d55ef 100644
--- a/docs/articles/index.html
+++ b/docs/articles/index.html
@@ -60,7 +60,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -132,6 +132,7 @@
<li><a href="twa.html">Calculation of time weighted average concentrations with mkin</a></li>
<li><a href="web_only/FOCUS_Z.html">Example evaluation of FOCUS dataset Z</a></li>
<li><a href="web_only/NAFTA_examples.html">Evaluation of example datasets from Attachment 1 to the US EPA SOP for the NAFTA guidance</a></li>
+ <li><a href="web_only/benchmarks.html">Benchmark timings for mkin on various systems</a></li>
<li><a href="web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a></li>
</ul>
</div>
diff --git a/docs/articles/mkin.html b/docs/articles/mkin.html
index 93ad4b56..2e5cd759 100644
--- a/docs/articles/mkin.html
+++ b/docs/articles/mkin.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Introduction to mkin</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>mkin.Rmd</code></div>
diff --git a/docs/articles/twa.html b/docs/articles/twa.html
index f58814e3..cdcea4d3 100644
--- a/docs/articles/twa.html
+++ b/docs/articles/twa.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Calculation of time weighted average concentrations with mkin</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>twa.Rmd</code></div>
diff --git a/docs/articles/web_only/FOCUS_Z.html b/docs/articles/web_only/FOCUS_Z.html
index 79e39e55..33d0c90f 100644
--- a/docs/articles/web_only/FOCUS_Z.html
+++ b/docs/articles/web_only/FOCUS_Z.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Example evaluation of FOCUS dataset Z</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>FOCUS_Z.Rmd</code></div>
@@ -125,87 +125,97 @@
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" title="1">Z<span class="fl">.2</span>a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>),</a>
<a class="sourceLine" id="cb2-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1">m.Z<span class="fl">.2</span>a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb4-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a)</a></code></pre></div>
+<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1">m.Z<span class="fl">.2</span>a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.2a, FOCUS_2006_Z_mkin, quiet = TRUE): Observations
+## with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png" width="700"></p>
-<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(m.Z.2a, data = FALSE): Could not estimate
-## covariance matrix; singular system.</code></pre>
-<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
-## Z0_0 9.7015e+01 3.553140 2.7304e+01 1.6793e-21 NA NA
-## k_Z0_sink 1.2790e-11 0.226895 5.6368e-11 5.0000e-01 NA NA
-## k_Z0_Z1 2.2360e+00 0.165073 1.3546e+01 7.3938e-14 NA NA
-## k_Z1_sink 4.8212e-01 0.065854 7.3212e+00 3.5520e-08 NA NA</code></pre>
+<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 9.7015e+01 3.39373 2.8587e+01 6.4606e-21 91.66556 102.3642
+## k_Z0_sink 4.0181e-10 0.22534 1.7831e-09 5.0000e-01 0.00000 Inf
+## k_Z0_Z1 2.2360e+00 0.15915 1.4050e+01 1.1387e-13 1.95303 2.5600
+## k_Z1_sink 4.8212e-01 0.06547 7.3641e+00 5.1396e-08 0.40341 0.5762
+## sigma 4.8041e+00 0.63763 7.5343e+00 3.4444e-08 3.52677 6.0815</code></pre>
<p>As obvious from the parameter summary (the component of the summary), the kinetic rate constant from parent compound Z to sink is very small and the t-test for this parameter suggests that it is not significantly different from zero. This suggests, in agreement with the analysis in the FOCUS kinetics report, to simplify the model by removing the pathway to sink.</p>
<p>A similar result can be obtained when formation fractions are used in the model formulation:</p>
-<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1">Z<span class="fl">.2</span>a.ff &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>),</a>
-<a class="sourceLine" id="cb8-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
-<a class="sourceLine" id="cb8-3" title="3"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb9-1" title="1">Z<span class="fl">.2</span>a.ff &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>),</a>
+<a class="sourceLine" id="cb9-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
+<a class="sourceLine" id="cb9-3" title="3"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1">m.Z<span class="fl">.2</span>a.ff &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a.ff, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb10-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a.ff)</a></code></pre></div>
+<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1">m.Z<span class="fl">.2</span>a.ff &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.2</span>a.ff, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.2a.ff, FOCUS_2006_Z_mkin, quiet = TRUE): Observations
+## with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.2</span>a.ff)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_2-1.png" width="700"></p>
-<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a.ff, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(m.Z.2a.ff, data = FALSE): Could not estimate
-## covariance matrix; singular system.</code></pre>
-<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
-## Z0_0 97.01488 3.553145 27.3039 1.6793e-21 NA NA
-## k_Z0 2.23601 0.216849 10.3114 3.6623e-11 NA NA
-## k_Z1 0.48212 0.065854 7.3211 3.5520e-08 NA NA
-## f_Z0_to_Z1 1.00000 0.101473 9.8548 9.7068e-11 NA NA</code></pre>
+<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.2</span>a.ff, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 97.01488 3.301084 29.3888 3.2971e-21 91.66556 102.3642
+## k_Z0 2.23601 0.207078 10.7979 3.3309e-11 1.95303 2.5600
+## k_Z1 0.48212 0.063265 7.6207 2.8155e-08 0.40341 0.5762
+## f_Z0_to_Z1 1.00000 0.094764 10.5525 5.3560e-11 0.00000 1.0000
+## sigma 4.80411 0.635638 7.5579 3.2592e-08 3.52677 6.0815</code></pre>
<p>Here, the ilr transformed formation fraction fitted in the model takes a very large value, and the backtransformed formation fraction from parent Z to Z1 is practically unity. Here, the covariance matrix used for the calculation of confidence intervals is not returned as the model is overparameterised.</p>
<p>A simplified model is obtained by removing the pathway to the sink. </p>
<p>In the following, we use the parameterisation with formation fractions in order to be able to compare with the results in the FOCUS guidance, and as it makes it easier to use parameters obtained in a previous fit when adding a further metabolite.</p>
-<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1">Z<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb14-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">Z<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb16-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">m.Z<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb16-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.3</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb18-1" title="1">m.Z<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.3, FOCUS_2006_Z_mkin, quiet = TRUE): Observations with
+## value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.3</span>)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_3-1.png" width="700"></p>
-<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.3</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
-<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
-## Z0_0 97.01488 2.681772 36.176 2.3636e-25 91.52152 102.508
-## k_Z0 2.23601 0.146861 15.225 2.2464e-15 1.95453 2.558
-## k_Z1 0.48212 0.042687 11.294 3.0686e-12 0.40216 0.578</code></pre>
+<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb21-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z<span class="fl">.3</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 97.01488 2.597342 37.352 2.0106e-24 91.67597 102.3538
+## k_Z0 2.23601 0.146904 15.221 9.1477e-15 1.95354 2.5593
+## k_Z1 0.48212 0.041727 11.554 4.8268e-12 0.40355 0.5760
+## sigma 4.80411 0.620208 7.746 1.6110e-08 3.52925 6.0790</code></pre>
<p>As there is only one transformation product for Z0 and no pathway to sink, the formation fraction is internally fixed to unity.</p>
</div>
<div id="metabolites-z2-and-z3" class="section level1">
<h1 class="hasAnchor">
<a href="#metabolites-z2-and-z3" class="anchor"></a>Metabolites Z2 and Z3</h1>
<p>As suggested in the FOCUS report, the pathway to sink was removed for metabolite Z1 as well in the next step. While this step appears questionable on the basis of the above results, it is followed here for the purpose of comparison. Also, in the FOCUS report, it is assumed that there is additional empirical evidence that Z1 quickly and exclusively hydrolyses to Z2.</p>
-<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1">Z<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb19-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb19-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1">Z<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb23-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb23-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>), <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb21"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb21-1" title="1">m.Z<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb21-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.5</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1">m.Z<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.5, FOCUS_2006_Z_mkin, quiet = TRUE): Observations with
+## value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z<span class="fl">.5</span>)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_5-1.png" width="700"></p>
<p>Finally, metabolite Z3 is added to the model. We use the optimised differential equation parameter values from the previous fit in order to accelerate the optimization.</p>
-<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1">Z.FOCUS &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb22-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb22-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
-<a class="sourceLine" id="cb22-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
-<a class="sourceLine" id="cb22-5" title="5"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" title="1">Z.FOCUS &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb28-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb28-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
+<a class="sourceLine" id="cb28-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
+<a class="sourceLine" id="cb28-5" title="5"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>)</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb24-1" title="1">m.Z.FOCUS &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.FOCUS, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
-<a class="sourceLine" id="cb24-2" title="2"> <span class="dt">parms.ini =</span> m.Z<span class="fl">.5</span><span class="op">$</span>bparms.ode,</a>
-<a class="sourceLine" id="cb24-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
-<pre><code>## Warning in mkinfit(Z.FOCUS, FOCUS_2006_Z_mkin, parms.ini = m.Z.5$bparms.ode, : Optimisation by method Port did not converge:
+<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb30-1" title="1">m.Z.FOCUS &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.FOCUS, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
+<a class="sourceLine" id="cb30-2" title="2"> <span class="dt">parms.ini =</span> m.Z<span class="fl">.5</span><span class="op">$</span>bparms.ode,</a>
+<a class="sourceLine" id="cb30-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.FOCUS, FOCUS_2006_Z_mkin, parms.ini = m.Z.
+## 5$bparms.ode, : Observations with value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(Z.FOCUS, FOCUS_2006_Z_mkin, parms.ini = m.Z.5$bparms.ode, : Optimisation did not converge:
## false convergence (8)</code></pre>
-<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.FOCUS)</a></code></pre></div>
+<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.FOCUS)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_6-1.png" width="700"></p>
-<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.FOCUS, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
+<div class="sourceCode" id="cb34"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb34-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.FOCUS, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
-## Z0_0 96.837112 2.058861 47.0343 5.5877e-44 92.703779 100.970445
-## k_Z0 2.215368 0.118098 18.7587 7.6563e-25 1.990525 2.465609
-## k_Z1 0.478302 0.029289 16.3302 3.3408e-22 0.422977 0.540864
-## k_Z2 0.451617 0.044214 10.2144 3.1133e-14 0.371034 0.549702
-## k_Z3 0.058693 0.014296 4.1056 7.2924e-05 0.035994 0.095705
-## f_Z2_to_Z3 0.471516 0.057057 8.2639 2.8156e-11 0.360381 0.585548</code></pre>
-<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.FOCUS)</a></code></pre></div>
+## Z0_0 96.838619 1.994272 48.5584 4.0282e-42 92.826596 100.850642
+## k_Z0 2.215408 0.118459 18.7018 1.0415e-23 1.989468 2.467007
+## k_Z1 0.478300 0.028257 16.9267 6.2407e-22 0.424701 0.538663
+## k_Z2 0.451618 0.042138 10.7177 1.6308e-14 0.374327 0.544869
+## k_Z3 0.058693 0.015246 3.8498 1.7805e-04 0.034804 0.098981
+## f_Z2_to_Z3 0.471508 0.058352 8.0804 9.6647e-11 0.357725 0.588332
+## sigma 3.984431 0.383402 10.3923 4.5575e-14 3.213126 4.755736</code></pre>
+<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb36-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.FOCUS)</a></code></pre></div>
<pre><code>## $ff
## Z2_Z3 Z2_sink
-## 0.47152 0.52848
+## 0.47151 0.52849
##
## $SFORB
## logical(0)
@@ -213,9 +223,9 @@
## $distimes
## DT50 DT90
## Z0 0.31288 1.0394
-## Z1 1.44918 4.8141
+## Z1 1.44919 4.8141
## Z2 1.53481 5.0985
-## Z3 11.80973 39.2311</code></pre>
+## Z3 11.80962 39.2307</code></pre>
<p>This fit corresponds to the final result chosen in Appendix 7 of the FOCUS report. Confidence intervals returned by mkin are based on internally transformed parameters, however.</p>
</div>
<div id="using-the-sforb-model" class="section level1">
@@ -223,77 +233,116 @@
<a href="#using-the-sforb-model" class="anchor"></a>Using the SFORB model</h1>
<p>As the FOCUS report states, there is a certain tailing of the time course of metabolite Z3. Also, the time course of the parent compound is not fitted very well using the SFO model, as residues at a certain low level remain.</p>
<p>Therefore, an additional model is offered here, using the single first-order reversible binding (SFORB) model for metabolite Z3. As expected, the <span class="math inline">\(\chi^2\)</span> error level is lower for metabolite Z3 using this model and the graphical fit for Z3 is improved. However, the covariance matrix is not returned.</p>
-<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb31-1" title="1">Z.mkin<span class="fl">.1</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb31-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb31-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
-<a class="sourceLine" id="cb31-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div>
+<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb38-1" title="1">Z.mkin<span class="fl">.1</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb38-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb38-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
+<a class="sourceLine" id="cb38-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" title="1">m.Z.mkin<span class="fl">.1</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.1</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb33-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.1</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb40"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb40-1" title="1">m.Z.mkin<span class="fl">.1</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.1</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.mkin.1, FOCUS_2006_Z_mkin, quiet = TRUE): Observations
+## with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb42"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb42-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.1</span>)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_7-1.png" width="700"></p>
-<div class="sourceCode" id="cb34"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb34-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.mkin<span class="fl">.1</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>cov.unscaled</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(m.Z.mkin.1, data = FALSE): Could not estimate
-## covariance matrix; singular system.</code></pre>
-<pre><code>## NULL</code></pre>
+<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb43-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.mkin<span class="fl">.1</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>cov.unscaled</a></code></pre></div>
+<pre><code>## Z0_0 log_k_Z0_Z1 log_k_Z1_Z2 log_k_Z2_sink
+## Z0_0 3.8375e+00 5.4918e-03 3.0584e-02 1.2969e-01
+## log_k_Z0_Z1 5.4918e-03 2.7613e-03 -1.8820e-04 2.6634e-04
+## log_k_Z1_Z2 3.0584e-02 -1.8820e-04 3.3807e-03 3.2177e-03
+## log_k_Z2_sink 1.2969e-01 2.6634e-04 3.2177e-03 3.4256e-02
+## log_k_Z2_Z3_free -2.4223e-02 -2.6169e-04 -1.1845e-03 -8.1134e-03
+## log_k_Z3_free_sink -6.5467e-02 -4.0815e-04 -3.2978e-03 -3.6010e-02
+## log_k_Z3_free_bound -6.0658e-02 -4.4768e-04 -3.0588e-03 -3.9074e-02
+## log_k_Z3_bound_free 4.7821e+00 5.5819e-03 1.0267e-01 1.1956e+00
+## sigma -1.4345e-08 8.6519e-11 -6.1861e-10 -4.7499e-10
+## log_k_Z2_Z3_free log_k_Z3_free_sink
+## Z0_0 -2.4223e-02 -6.5467e-02
+## log_k_Z0_Z1 -2.6169e-04 -4.0815e-04
+## log_k_Z1_Z2 -1.1845e-03 -3.2978e-03
+## log_k_Z2_sink -8.1134e-03 -3.6010e-02
+## log_k_Z2_Z3_free 1.5500e-02 2.1583e-02
+## log_k_Z3_free_sink 2.1583e-02 7.5705e-02
+## log_k_Z3_free_bound 2.5836e-02 1.1964e-01
+## log_k_Z3_bound_free -2.1303e-01 -9.0584e-01
+## sigma 5.8776e-10 1.0773e-09
+## log_k_Z3_free_bound log_k_Z3_bound_free sigma
+## Z0_0 -6.0658e-02 4.7821e+00 -1.4345e-08
+## log_k_Z0_Z1 -4.4768e-04 5.5819e-03 8.6519e-11
+## log_k_Z1_Z2 -3.0588e-03 1.0267e-01 -6.1861e-10
+## log_k_Z2_sink -3.9074e-02 1.1956e+00 -4.7499e-10
+## log_k_Z2_Z3_free 2.5836e-02 -2.1303e-01 5.8776e-10
+## log_k_Z3_free_sink 1.1964e-01 -9.0584e-01 1.0773e-09
+## log_k_Z3_free_bound 6.5902e-01 4.2011e+00 2.1743e-09
+## log_k_Z3_bound_free 4.2011e+00 3.6036e+08 7.2404e-02
+## sigma 2.1743e-09 7.2404e-02 1.4170e-01</code></pre>
<p>Therefore, a further stepwise model building is performed starting from the stage of parent and two metabolites, starting from the assumption that the model fit for the parent compound can be improved by using the SFORB model.</p>
-<div class="sourceCode" id="cb37"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb37-1" title="1">Z.mkin<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb37-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb37-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
+<div class="sourceCode" id="cb45"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb45-1" title="1">Z.mkin<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb45-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb45-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb39-1" title="1">m.Z.mkin<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb39-2" title="2"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.3</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb47-1" title="1">m.Z.mkin<span class="fl">.3</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.3</span>, FOCUS_<span class="dv">2006</span>_Z_mkin, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.mkin.3, FOCUS_2006_Z_mkin, quiet = TRUE): Observations
+## with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb49"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb49-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.3</span>)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png" width="700"></p>
<p>This results in a much better representation of the behaviour of the parent compound Z0.</p>
<p>Finally, Z3 is added as well. These models appear overparameterised (no covariance matrix returned) if the sink for Z1 is left in the models.</p>
-<div class="sourceCode" id="cb40"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb40-1" title="1">Z.mkin<span class="fl">.4</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb40-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb40-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
-<a class="sourceLine" id="cb40-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
+<div class="sourceCode" id="cb50"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb50-1" title="1">Z.mkin<span class="fl">.4</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb50-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb50-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
+<a class="sourceLine" id="cb50-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb42"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb42-1" title="1">m.Z.mkin<span class="fl">.4</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.4</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
-<a class="sourceLine" id="cb42-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.3</span><span class="op">$</span>bparms.ode,</a>
-<a class="sourceLine" id="cb42-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb42-4" title="4"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.4</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb52"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb52-1" title="1">m.Z.mkin<span class="fl">.4</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.4</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
+<a class="sourceLine" id="cb52-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.3</span><span class="op">$</span>bparms.ode,</a>
+<a class="sourceLine" id="cb52-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.mkin.4, FOCUS_2006_Z_mkin, parms.ini = m.Z.mkin.
+## 3$bparms.ode, : Observations with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.4</span>)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png" width="700"></p>
<p>The error level of the fit, but especially of metabolite Z3, can be improved if the SFORB model is chosen for this metabolite, as this model is capable of representing the tailing of the metabolite decline phase.</p>
-<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb43-1" title="1">Z.mkin<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb43-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
-<a class="sourceLine" id="cb43-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
-<a class="sourceLine" id="cb43-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div>
+<div class="sourceCode" id="cb55"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb55-1" title="1">Z.mkin<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">Z0 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>, <span class="st">"Z1"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb55-2" title="2"> <span class="dt">Z1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z2"</span>, <span class="dt">sink =</span> <span class="ot">FALSE</span>),</a>
+<a class="sourceLine" id="cb55-3" title="3"> <span class="dt">Z2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"Z3"</span>),</a>
+<a class="sourceLine" id="cb55-4" title="4"> <span class="dt">Z3 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFORB"</span>))</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
-<div class="sourceCode" id="cb45"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb45-1" title="1">m.Z.mkin<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
-<a class="sourceLine" id="cb45-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.4</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">4</span>],</a>
-<a class="sourceLine" id="cb45-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb45-4" title="4"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb57-1" title="1">m.Z.mkin<span class="fl">.5</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
+<a class="sourceLine" id="cb57-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.4</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">4</span>],</a>
+<a class="sourceLine" id="cb57-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.mkin.5, FOCUS_2006_Z_mkin, parms.ini = m.Z.mkin.
+## 4$bparms.ode[1:4], : Observations with value of zero were removed from the
+## data</code></pre>
+<div class="sourceCode" id="cb59"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb59-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11-1.png" width="700"></p>
<p>The summary view of the backtransformed parameters shows that we get no confidence intervals due to overparameterisation. As the optimized is excessively small, it seems reasonable to fix it to zero.</p>
-<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb46-1" title="1">m.Z.mkin<span class="fl">.5</span>a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
-<a class="sourceLine" id="cb46-2" title="2"> <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(m.Z.mkin<span class="fl">.5</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">7</span>],</a>
-<a class="sourceLine" id="cb46-3" title="3"> <span class="dt">k_Z3_bound_free =</span> <span class="dv">0</span>),</a>
-<a class="sourceLine" id="cb46-4" title="4"> <span class="dt">fixed_parms =</span> <span class="st">"k_Z3_bound_free"</span>,</a>
-<a class="sourceLine" id="cb46-5" title="5"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
-<a class="sourceLine" id="cb46-6" title="6"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div>
+<div class="sourceCode" id="cb60"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb60-1" title="1">m.Z.mkin<span class="fl">.5</span>a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
+<a class="sourceLine" id="cb60-2" title="2"> <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(m.Z.mkin<span class="fl">.5</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">7</span>],</a>
+<a class="sourceLine" id="cb60-3" title="3"> <span class="dt">k_Z3_bound_free =</span> <span class="dv">0</span>),</a>
+<a class="sourceLine" id="cb60-4" title="4"> <span class="dt">fixed_parms =</span> <span class="st">"k_Z3_bound_free"</span>,</a>
+<a class="sourceLine" id="cb60-5" title="5"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<pre><code>## Warning in mkinfit(Z.mkin.5, FOCUS_2006_Z_mkin, parms.ini = c(m.Z.mkin.
+## 5$bparms.ode[1:7], : Observations with value of zero were removed from the
+## data</code></pre>
+<div class="sourceCode" id="cb62"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb62-1" title="1"><span class="kw"><a href="../../reference/plot.mkinfit.html">plot_sep</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11a-1.png" width="700"></p>
<p>As expected, the residual plots for Z0 and Z3 are more random than in the case of the all SFO model for which they were shown above. In conclusion, the model is proposed as the best-fit model for the dataset from Appendix 7 of the FOCUS report.</p>
<p>A graphical representation of the confidence intervals can finally be obtained.</p>
-<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb47-1" title="1"><span class="kw"><a href="../../reference/mkinparplot.html">mkinparplot</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div>
+<div class="sourceCode" id="cb63"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb63-1" title="1"><span class="kw"><a href="../../reference/mkinparplot.html">mkinparplot</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div>
<p><img src="FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.png" width="700"></p>
<p>The endpoints obtained with this model are</p>
-<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb48-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div>
+<div class="sourceCode" id="cb64"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb64-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.mkin<span class="fl">.5</span>a)</a></code></pre></div>
<pre><code>## $ff
## Z0_free_Z1 Z1_Z2 Z2_sink Z2_Z3_free Z3_free_sink
## 1.00000 1.00000 0.46344 0.53656 1.00000
##
## $SFORB
## Z0_b1 Z0_b2 Z3_b1 Z3_b2
-## 2.4471382 0.0075127 0.0800075 0.0000000
+## 2.4471355 0.0075125 0.0800068 0.0000000
##
## $distimes
## DT50 DT90 DT50_Z0_b1 DT50_Z0_b2 DT50_Z3_b1 DT50_Z3_b2
-## Z0 0.3043 1.1848 0.28325 92.264 NA NA
+## Z0 0.3043 1.1848 0.28325 92.266 NA NA
## Z1 1.5148 5.0320 NA NA NA NA
## Z2 1.6414 5.4526 NA NA NA NA
-## Z3 NA NA NA NA 8.6635 Inf</code></pre>
+## Z3 NA NA NA NA 8.6636 Inf</code></pre>
<p>It is clear the degradation rate of Z3 towards the end of the experiment is very low as DT50_Z3_b2 (the second Eigenvalue of the system of two differential equations representing the SFORB system for Z3, corresponding to the slower rate constant of the DFOP model) is reported to be infinity. However, this appears to be a feature of the data.</p>
</div>
<div id="references" class="section level1">
diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png
index 53f2ce85..f371827f 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_1-1.png
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index 90eab945..3dfb6477 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_10-1.png
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index f44737ad..c2fa5b46 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11-1.png
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index 98562168..95553b43 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11a-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11a-1.png
Binary files differ
diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.png
index 27e7eb52..8b69796f 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.png
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diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_2-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_2-1.png
index 236cdbfe..bac0a115 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_2-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_2-1.png
Binary files differ
diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_3-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_3-1.png
index 693c9c2c..5b6c127f 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_3-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_3-1.png
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diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_5-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_5-1.png
index 180f44f9..4916ee4d 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_5-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_5-1.png
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diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_6-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_6-1.png
index a67e9c1d..7213dac1 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_6-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_6-1.png
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index 80452f9f..292c0690 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_7-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_7-1.png
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diff --git a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png
index e6ce97cd..27c51525 100644
--- a/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png
+++ b/docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_9-1.png
Binary files differ
diff --git a/docs/articles/web_only/NAFTA_examples.html b/docs/articles/web_only/NAFTA_examples.html
index 12e5d522..0bcfca27 100644
--- a/docs/articles/web_only/NAFTA_examples.html
+++ b/docs/articles/web_only/NAFTA_examples.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Evaluation of example datasets from Attachment 1 to the US EPA SOP for the NAFTA guidance</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>NAFTA_examples.Rmd</code></div>
@@ -111,13 +111,11 @@
<h2 class="hasAnchor">
<a href="#example-on-page-5-upper-panel" class="anchor"></a>Example on page 5, upper panel</h2>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" title="1">p5a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p5a"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5a)</a></code></pre></div>
+<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5a)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p5a-1.png" width="700"></p>
-<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5a)</a></code></pre></div>
+<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5a)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 465.21753 56.27506 32.06401
@@ -128,28 +126,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 95.8401 1.10e-21 92.121 99.5597
-## k_parent_sink 0.0102 1.71e-12 0.009 0.0117
+## parent_0 95.8401 4.67e-21 92.245 99.4357
+## k_parent_sink 0.0102 3.92e-12 0.009 0.0117
+## sigma 4.8230 3.81e-06 3.214 6.4318
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.01e+02 2.37e-26 9.89e+01 1.03e+02
-## k__iore_parent_sink 1.54e-05 8.73e-02 3.48e-06 6.85e-05
-## N_parent 2.57e+00 1.14e-11 2.22e+00 2.92e+00
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.01e+02 NA 9.91e+01 1.02e+02
+## k__iore_parent_sink 1.54e-05 NA 4.08e-06 5.84e-05
+## N_parent 2.57e+00 NA 2.25e+00 2.89e+00
+## sigma 1.68e+00 NA 1.12e+00 2.24e+00
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.99e+01 4.33e-27 NA NA
-## k1 2.67e-02 3.17e-05 NA NA
-## k2 2.16e-12 5.00e-01 NA NA
-## g 6.47e-01 2.13e-05 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.99e+01 1.41e-26 98.8116 101.0810
+## k1 2.67e-02 5.05e-06 0.0243 0.0295
+## k2 3.41e-12 5.00e-01 0.0000 Inf
+## g 6.47e-01 3.67e-06 0.6248 0.6677
+## sigma 1.27e+00 8.91e-06 0.8395 1.6929
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 67.7 2.25e+02 6.77e+01
## IORE 58.2 1.07e+03 3.22e+02
-## DFOP 55.5 5.84e+11 3.21e+11
+## DFOP 55.5 3.70e+11 2.03e+11
##
## Representative half-life:
## [1] 321.5119</code></pre>
@@ -157,14 +158,12 @@
<div id="example-on-page-5-lower-panel" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-5-lower-panel" class="anchor"></a>Example on page 5, lower panel</h2>
-<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1">p5b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p5b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1">p5b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p5b"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5b)</a></code></pre></div>
+<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p5b)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p5b-1.png" width="700"></p>
-<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5b)</a></code></pre></div>
+<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p5b)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 94.81123 10.10936 7.55871
@@ -175,28 +174,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 96.497 2.62e-25 94.77653 98.21774
-## k_parent_sink 0.008 1.35e-14 0.00736 0.00871
+## parent_0 96.497 2.32e-24 94.85271 98.14155
+## k_parent_sink 0.008 3.42e-14 0.00737 0.00869
+## sigma 2.295 1.22e-05 1.47976 3.11036
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.85e+01 1.02e-29 9.78e+01 9.93e+01
-## k__iore_parent_sink 1.53e-04 1.15e-02 6.60e-05 3.56e-04
-## N_parent 1.94e+00 8.18e-13 1.74e+00 2.14e+00
+## parent_0 9.85e+01 1.17e-28 9.79e+01 9.92e+01
+## k__iore_parent_sink 1.53e-04 6.50e-03 7.21e-05 3.26e-04
+## N_parent 1.94e+00 5.88e-13 1.76e+00 2.12e+00
+## sigma 7.49e-01 1.63e-05 4.82e-01 1.02e+00
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.84e+01 1.90e-28 NA NA
-## k1 1.55e-02 2.83e-03 NA NA
-## k2 8.17e-12 5.00e-01 NA NA
-## g 6.89e-01 1.31e-02 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.84e+01 1.24e-27 97.8078 98.9187
+## k1 1.55e-02 4.10e-04 0.0143 0.0167
+## k2 1.09e-11 5.00e-01 0.0000 Inf
+## g 6.89e-01 2.92e-03 0.6626 0.7142
+## sigma 6.48e-01 2.38e-05 0.4147 0.8813
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 86.6 2.88e+02 8.66e+01
## IORE 85.5 7.17e+02 2.16e+02
-## DFOP 83.6 1.39e+11 8.48e+10
+## DFOP 83.6 1.04e+11 6.34e+10
##
## Representative half-life:
## [1] 215.8655</code></pre>
@@ -204,14 +206,12 @@
<div id="example-on-page-6" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-6" class="anchor"></a>Example on page 6</h2>
-<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" title="1">p6 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p6"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" title="1">p6 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p6"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p6)</a></code></pre></div>
+<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p6)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p6-1.png" width="700"></p>
-<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p6)</a></code></pre></div>
+<div class="sourceCode" id="cb17"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb17-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p6)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 188.45361 51.00699 42.46931
@@ -222,28 +222,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 94.7759 1.25e-24 92.2558 97.2960
-## k_parent_sink 0.0179 2.35e-16 0.0166 0.0194
+## parent_0 94.7759 7.29e-24 92.3479 97.2039
+## k_parent_sink 0.0179 8.02e-16 0.0166 0.0194
+## sigma 3.0696 3.81e-06 2.0456 4.0936
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.12446 5.62e-27 95.49343 98.75549
-## k__iore_parent_sink 0.00252 3.54e-03 0.00126 0.00502
-## N_parent 1.49587 6.13e-13 1.32380 1.66794
+## parent_0 97.12446 2.63e-26 95.62461 98.62431
+## k__iore_parent_sink 0.00252 1.95e-03 0.00134 0.00472
+## N_parent 1.49587 4.07e-13 1.33896 1.65279
+## sigma 1.59698 5.05e-06 1.06169 2.13227
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.66e+01 4.17e-26 NA NA
-## k1 2.55e-02 2.12e-05 NA NA
-## k2 3.09e-11 5.00e-01 NA NA
-## g 8.61e-01 2.10e-05 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.66e+01 1.57e-25 95.3476 97.8979
+## k1 2.55e-02 7.33e-06 0.0233 0.0278
+## k2 3.88e-11 5.00e-01 0.0000 Inf
+## g 8.61e-01 7.55e-06 0.8314 0.8867
+## sigma 1.46e+00 6.93e-06 0.9661 1.9483
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 38.6 1.28e+02 3.86e+01
## IORE 34.0 1.77e+02 5.32e+01
-## DFOP 34.1 1.06e+10 2.24e+10
+## DFOP 34.1 8.42e+09 1.79e+10
##
## Representative half-life:
## [1] 53.16582</code></pre>
@@ -251,14 +254,12 @@
<div id="example-on-page-7" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-7" class="anchor"></a>Example on page 7</h2>
-<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1">p7 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p7"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb19"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb19-1" title="1">p7 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p7"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p7)</a></code></pre></div>
+<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb22-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p7)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p7-1.png" width="700"></p>
-<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb27-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p7)</a></code></pre></div>
+<div class="sourceCode" id="cb23"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb23-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p7)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 3661.661 3195.030 3174.145
@@ -269,28 +270,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 96.41796 1.52e-53 93.29554 99.54038
-## k_parent_sink 0.00735 3.59e-21 0.00641 0.00842
+## parent_0 96.41796 4.80e-53 93.32245 99.51347
+## k_parent_sink 0.00735 7.64e-21 0.00641 0.00843
+## sigma 7.94557 1.83e-15 6.46713 9.42401
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.92e+01 7.33e-49 9.53e+01 1.03e+02
-## k__iore_parent_sink 1.60e-05 3.47e-01 9.98e-08 2.57e-03
-## N_parent 2.45e+00 6.14e-05 1.26e+00 3.63e+00
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.92e+01 NA 9.55e+01 1.03e+02
+## k__iore_parent_sink 1.60e-05 NA 1.45e-07 1.77e-03
+## N_parent 2.45e+00 NA 1.35e+00 3.54e+00
+## sigma 7.42e+00 NA 6.04e+00 8.80e+00
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.89e+01 8.13e-48 NA NA
-## k1 1.81e-02 2.20e-01 NA NA
-## k2 3.28e-10 5.00e-01 NA NA
-## g 6.06e-01 2.60e-01 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.89e+01 9.44e-49 95.4640 102.2573
+## k1 1.81e-02 1.75e-01 0.0116 0.0281
+## k2 2.57e-10 5.00e-01 0.0000 Inf
+## g 6.06e-01 2.19e-01 0.4826 0.7178
+## sigma 7.40e+00 2.97e-15 6.0201 8.7754
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 94.3 3.13e+02 9.43e+01
## IORE 96.7 1.51e+03 4.55e+02
-## DFOP 96.4 4.18e+09 2.11e+09
+## DFOP 96.4 5.32e+09 2.69e+09
##
## Representative half-life:
## [1] 454.5528</code></pre>
@@ -303,7 +307,7 @@
<h2 class="hasAnchor">
<a href="#example-on-page-8" class="anchor"></a>Example on page 8</h2>
<p>For this dataset, the IORE fit does not converge when the default starting values used by mkin for the IORE model are used. Therefore, a lower value for the rate constant is used here.</p>
-<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1">p8 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p8"</span>]], <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dt">k__iore_parent_sink =</span> <span class="fl">1e-3</span>))</a></code></pre></div>
+<div class="sourceCode" id="cb25"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb25-1" title="1">p8 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p8"</span>]], <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="dt">k__iore_parent_sink =</span> <span class="fl">1e-3</span>))</a></code></pre></div>
<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
## singular system.
@@ -311,9 +315,9 @@
## singular system.</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p8)</a></code></pre></div>
+<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p8)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p8-1.png" width="700"></p>
-<div class="sourceCode" id="cb34"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb34-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p8)</a></code></pre></div>
+<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb30-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p8)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 1996.9408 444.9237 547.5616
@@ -327,12 +331,14 @@
## parent_0 88.16549 NA NA NA
## k__iore_parent_sink 0.00100 NA NA NA
## k_parent_sink 0.00803 NA NA NA
+## sigma 7.44786 NA NA NA
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.77e+01 1.05e-35 9.44e+01 1.01e+02
-## k__iore_parent_sink 6.14e-05 2.76e-02 2.21e-05 1.71e-04
-## N_parent 2.27e+00 6.00e-19 2.02e+00 2.53e+00
+## parent_0 9.77e+01 7.03e-35 9.44e+01 1.01e+02
+## k__iore_parent_sink 6.14e-05 3.20e-02 2.12e-05 1.78e-04
+## N_parent 2.27e+00 4.23e-18 2.00e+00 2.54e+00
+## sigma 3.52e+00 5.36e-10 2.67e+00 4.36e+00
##
## $DFOP
## Estimate Pr(&gt;t) Lower Upper
@@ -341,6 +347,7 @@
## k1 0.02500 NA NA NA
## k2 0.00273 NA NA NA
## g 0.58835 NA NA NA
+## sigma 3.90001 NA NA NA
##
##
## DTx values:
@@ -359,14 +366,12 @@
<div id="example-on-page-9-upper-panel" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-9-upper-panel" class="anchor"></a>Example on page 9, upper panel</h2>
-<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb36-1" title="1">p9a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9a"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb32-1" title="1">p9a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9a"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb40"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb40-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9a)</a></code></pre></div>
+<div class="sourceCode" id="cb35"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb35-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9a)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p9a-1.png" width="700"></p>
-<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb41-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9a)</a></code></pre></div>
+<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb36-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9a)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 839.35238 88.57064 9.93363
@@ -377,28 +382,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 88.1933 1.12e-12 79.7671 96.6195
-## k_parent_sink 0.0409 9.50e-08 0.0326 0.0513
+## parent_0 88.1933 3.06e-12 79.9447 96.4419
+## k_parent_sink 0.0409 2.07e-07 0.0324 0.0516
+## sigma 7.2429 3.92e-05 4.4768 10.0090
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.89e+01 5.16e-17 9.50e+01 1.03e+02
-## k__iore_parent_sink 1.93e-05 1.48e-01 2.65e-06 1.40e-04
-## N_parent 2.91e+00 3.74e-09 2.43e+00 3.39e+00
+## parent_0 9.89e+01 1.12e-16 9.54e+01 1.02e+02
+## k__iore_parent_sink 1.93e-05 1.13e-01 3.49e-06 1.06e-04
+## N_parent 2.91e+00 1.45e-09 2.50e+00 3.32e+00
+## sigma 2.35e+00 5.31e-05 1.45e+00 3.26e+00
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.85e+01 1.31e-21 NA NA
-## k1 1.38e-01 3.63e-09 NA NA
-## k2 6.02e-13 5.00e-01 NA NA
-## g 6.52e-01 1.50e-10 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.85e+01 2.54e-20 97.390 99.672
+## k1 1.38e-01 3.52e-05 0.131 0.146
+## k2 5.75e-13 5.00e-01 0.000 Inf
+## g 6.52e-01 8.13e-06 0.642 0.661
+## sigma 7.88e-01 6.13e-02 0.481 1.095
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 16.9 5.63e+01 1.69e+01
## IORE 11.6 3.37e+02 1.01e+02
-## DFOP 10.5 2.07e+12 1.15e+12
+## DFOP 10.5 2.17e+12 1.21e+12
##
## Representative half-life:
## [1] 101.4264</code></pre>
@@ -407,14 +415,17 @@
<div id="example-on-page-9-lower-panel" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-9-lower-panel" class="anchor"></a>Example on page 9, lower panel</h2>
-<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb43-1" title="1">p9b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb38-1" title="1">p9b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9b"</span>]])</a></code></pre></div>
+<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
+## finite result is doubtful</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb47"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb47-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9b)</a></code></pre></div>
+<div class="sourceCode" id="cb45"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb45-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p9b)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p9b-1.png" width="700"></p>
-<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb48-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9b)</a></code></pre></div>
+<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb46-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p9b)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 35.64867 23.22334 35.64867
@@ -424,22 +435,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 94.7123 2.21e-20 93.0673 96.357
-## k_parent_sink 0.0389 1.48e-14 0.0369 0.041
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 94.7123 2.15e-19 93.178 96.2464
+## k_parent_sink 0.0389 4.47e-14 0.037 0.0408
+## sigma 1.5957 1.28e-04 0.932 2.2595
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 93.863 2.91e-19 92.2996 95.426
-## k__iore_parent_sink 0.127 2.73e-02 0.0457 0.354
-## N_parent 0.711 3.13e-05 0.4605 0.961
+## parent_0 93.863 2.32e-18 92.4565 95.269
+## k__iore_parent_sink 0.127 1.85e-02 0.0504 0.321
+## N_parent 0.711 1.88e-05 0.4843 0.937
+## sigma 1.288 1.76e-04 0.7456 1.830
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 94.7123 NA NA NA
-## k1 0.0389 NA NA NA
-## k2 0.0389 NA NA NA
-## g 0.7742 NA NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 94.7123 1.61e-16 93.1355 96.2891
+## k1 0.0389 NaN 0.0316 0.0478
+## k2 0.0389 1.13e-08 0.0203 0.0743
+## g 0.7599 NaN NA NA
+## sigma 1.5957 2.50e-04 0.9135 2.2779
##
##
## DTx values:
@@ -455,14 +469,12 @@
<div id="example-on-page-10" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-10" class="anchor"></a>Example on page 10</h2>
-<div class="sourceCode" id="cb50"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb50-1" title="1">p10 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p10"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb48-1" title="1">p10 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p10"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p10)</a></code></pre></div>
+<div class="sourceCode" id="cb51"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb51-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p10)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p10-1.png" width="700"></p>
-<div class="sourceCode" id="cb55"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb55-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p10)</a></code></pre></div>
+<div class="sourceCode" id="cb52"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb52-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p10)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 899.4089 336.4348 899.4089
@@ -473,21 +485,24 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 101.7315 4.95e-11 90.9683 112.4947
-## k_parent_sink 0.0495 3.40e-07 0.0393 0.0624
+## parent_0 101.7315 6.42e-11 91.9259 111.5371
+## k_parent_sink 0.0495 1.70e-07 0.0404 0.0607
+## sigma 8.0152 1.28e-04 4.6813 11.3491
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 96.86 2.71e-12 89.884 103.826
-## k__iore_parent_sink 2.96 1.31e-01 0.461 19.020
-## N_parent 0.00 5.00e-01 -0.473 0.473
+## parent_0 96.86 3.32e-12 90.848 102.863
+## k__iore_parent_sink 2.96 7.91e-02 0.687 12.761
+## N_parent 0.00 5.00e-01 -0.372 0.372
+## sigma 4.90 1.77e-04 2.837 6.968
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 101.7315 NA NA NA
-## k1 0.0495 NA NA NA
-## k2 0.0495 NA NA NA
-## g 0.6634 NA NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 101.7315 1.41e-09 91.6534 111.8097
+## k1 0.0495 6.41e-04 0.0303 0.0809
+## k2 0.0495 1.66e-02 0.0201 0.1219
+## g 0.6634 5.00e-01 0.0000 1.0000
+## sigma 8.0152 2.50e-04 4.5886 11.4418
##
##
## DTx values:
@@ -507,14 +522,12 @@
<div id="example-on-page-11" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-11" class="anchor"></a>Example on page 11</h2>
-<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb57-1" title="1">p11 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p11"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" title="1">p11 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p11"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb61"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb61-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p11)</a></code></pre></div>
+<div class="sourceCode" id="cb57"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb57-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p11)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p11-1.png" width="700"></p>
-<div class="sourceCode" id="cb62"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb62-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p11)</a></code></pre></div>
+<div class="sourceCode" id="cb58"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb58-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p11)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 579.6805 204.7932 144.7783
@@ -525,28 +538,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 96.15820 1.56e-13 89.91373 1.02e+02
-## k_parent_sink 0.00321 5.27e-05 0.00218 4.71e-03
+## parent_0 96.15820 4.83e-13 90.24934 1.02e+02
+## k_parent_sink 0.00321 4.71e-05 0.00222 4.64e-03
+## sigma 6.43473 1.28e-04 3.75822 9.11e+00
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.05e+02 NA 9.80e+01 1.11e+02
-## k__iore_parent_sink 3.11e-17 NA 6.88e-25 1.41e-09
-## N_parent 8.36e+00 NA 4.40e+00 1.23e+01
+## parent_0 1.05e+02 NA 9.90e+01 1.10e+02
+## k__iore_parent_sink 3.11e-17 NA 1.35e-20 7.18e-14
+## N_parent 8.36e+00 NA 6.62e+00 1.01e+01
+## sigma 3.82e+00 NA 2.21e+00 5.44e+00
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.05e+02 7.50e-13 NA NA
-## k1 4.41e-02 3.34e-02 NA NA
-## k2 7.25e-13 5.00e-01 NA NA
-## g 3.22e-01 7.87e-03 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.05e+02 9.47e-13 99.9990 109.1224
+## k1 4.41e-02 5.95e-03 0.0296 0.0658
+## k2 9.20e-13 5.00e-01 0.0000 Inf
+## g 3.22e-01 1.45e-03 0.2814 0.3650
+## sigma 3.22e+00 3.52e-04 1.8410 4.5906
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 2.16e+02 7.18e+02 2.16e+02
## IORE 9.73e+02 1.37e+08 4.11e+07
-## DFOP 4.21e+11 2.64e+12 9.56e+11
+## DFOP 3.31e+11 2.08e+12 7.53e+11
##
## Representative half-life:
## [1] 41148169</code></pre>
@@ -560,9 +576,14 @@
<div id="example-on-page-12-upper-panel" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-12-upper-panel" class="anchor"></a>Example on page 12, upper panel</h2>
-<div class="sourceCode" id="cb64"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb64-1" title="1">p12a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12a"</span>]])</a></code></pre></div>
+<div class="sourceCode" id="cb60"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb60-1" title="1">p12a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12a"</span>]])</a></code></pre></div>
<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
## singular system.</code></pre>
+<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
+## finite result is doubtful</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
<div class="sourceCode" id="cb68"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb68-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12a)</a></code></pre></div>
@@ -578,21 +599,24 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 100.521 5.61e-12 91.687 109.355
-## k_parent_sink 0.124 7.24e-08 0.102 0.152
+## parent_0 100.521 8.75e-12 92.461 108.581
+## k_parent_sink 0.124 3.61e-08 0.104 0.148
+## sigma 7.048 1.28e-04 4.116 9.980
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 96.823 1.24e-13 91.5691 102.078
-## k__iore_parent_sink 2.436 3.89e-02 0.7854 7.556
-## N_parent 0.263 3.64e-02 -0.0288 0.554
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 96.823 NA NA NA
+## k__iore_parent_sink 2.436 NA NA NA
+## N_parent 0.263 NA NA NA
+## sigma 3.965 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 100.521 NA NA NA
-## k1 0.124 NA NA NA
-## k2 0.124 NA NA NA
-## g 0.877 NA NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 100.521 2.74e-10 92.2366 108.805
+## k1 0.124 5.43e-06 0.0959 0.161
+## k2 0.124 6.45e-02 0.0315 0.490
+## g 0.880 NaN NA NA
+## sigma 7.048 2.50e-04 4.0349 10.061
##
##
## DTx values:
@@ -608,13 +632,19 @@
<h2 class="hasAnchor">
<a href="#example-on-page-12-lower-panel" class="anchor"></a>Example on page 12, lower panel</h2>
<div class="sourceCode" id="cb71"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb71-1" title="1">p12b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in qt(alpha/2, rdf): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in qt(1 - alpha/2, rdf): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in pt(abs(tval), rdf, lower.tail = FALSE): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
+## finite result is doubtful</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb75"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb75-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12b)</a></code></pre></div>
+<div class="sourceCode" id="cb81"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb81-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12b)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p12b-1.png" width="700"></p>
-<div class="sourceCode" id="cb76"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb76-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12b)</a></code></pre></div>
+<div class="sourceCode" id="cb82"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb82-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12b)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 58.90242 19.06353 58.90242
@@ -624,22 +654,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.6840 5.36e-05 86.3205 109.0475
-## k_parent_sink 0.0589 9.87e-04 0.0432 0.0803
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.6840 0.00039 85.9388 109.4292
+## k_parent_sink 0.0589 0.00261 0.0431 0.0805
+## sigma 3.4323 0.04356 -1.2377 8.1023
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 95.523 0.000386 84.0963 106.95
-## k__iore_parent_sink 0.333 0.170886 0.0103 10.80
-## N_parent 0.568 0.054881 -0.3161 1.45
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 95.523 0.0055 74.539157 116.51
+## k__iore_parent_sink 0.333 0.1433 0.000717 154.57
+## N_parent 0.568 0.0677 -0.989464 2.13
+## sigma 1.953 0.0975 -5.893100 9.80
##
## $DFOP
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.6840 NA NA NA
-## k1 0.0589 NA NA NA
-## k2 0.0589 NA NA NA
-## g 0.6902 NA NA NA
+## parent_0 97.6840 NaN NaN NaN
+## k1 0.0589 NaN NA NA
+## k2 0.0589 NaN NA NA
+## g 0.8275 NaN NA NA
+## sigma 3.4323 NaN NaN NaN
##
##
## DTx values:
@@ -654,14 +687,12 @@
<div id="example-on-page-13" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-13" class="anchor"></a>Example on page 13</h2>
-<div class="sourceCode" id="cb78"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb78-1" title="1">p13 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p13"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb84"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb84-1" title="1">p13 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p13"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb82"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb82-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p13)</a></code></pre></div>
+<div class="sourceCode" id="cb87"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb87-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p13)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p13-1.png" width="700"></p>
-<div class="sourceCode" id="cb83"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb83-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p13)</a></code></pre></div>
+<div class="sourceCode" id="cb88"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb88-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p13)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 174.5971 142.3951 174.5971
@@ -671,22 +702,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 92.73500 1.45e-17 89.3891 96.08094
-## k_parent_sink 0.00258 2.63e-09 0.0022 0.00303
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 92.73500 5.99e-17 89.61936 95.85065
+## k_parent_sink 0.00258 2.42e-09 0.00223 0.00299
+## sigma 3.41172 7.07e-05 2.05455 4.76888
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 91.6016 2.93e-16 88.08711 95.12
-## k__iore_parent_sink 0.0396 2.81e-01 0.00102 1.53
-## N_parent 0.3541 1.97e-01 -0.51943 1.23
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 91.6016 6.34e-16 88.53086 94.672
+## k__iore_parent_sink 0.0396 2.36e-01 0.00207 0.759
+## N_parent 0.3541 1.46e-01 -0.35153 1.060
+## sigma 3.0811 9.64e-05 1.84296 4.319
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 92.73500 NA NA NA
-## k1 0.00258 NA NA NA
-## k2 0.00258 NA NA NA
-## g 0.00442 NA NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 92.73500 9.25e-15 8.95e+01 9.59e+01
+## k1 0.00258 4.28e-01 1.38e-08 4.82e+02
+## k2 0.00258 3.69e-08 2.20e-03 3.03e-03
+## g 0.00442 5.00e-01 0.00e+00 1.00e+00
+## sigma 3.41172 1.35e-04 2.02e+00 4.80e+00
##
##
## DTx values:
@@ -702,14 +736,16 @@
<div id="dt50-not-observed-in-the-study-and-dfop-problems-in-pestdf" class="section level1">
<h1 class="hasAnchor">
<a href="#dt50-not-observed-in-the-study-and-dfop-problems-in-pestdf" class="anchor"></a>DT50 not observed in the study and DFOP problems in PestDF</h1>
-<div class="sourceCode" id="cb85"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb85-1" title="1">p14 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p14"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb90"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb90-1" title="1">p14 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p14"</span>]])</a></code></pre></div>
+<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
+## finite result is doubtful</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb89"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb89-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p14)</a></code></pre></div>
+<div class="sourceCode" id="cb96"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb96-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p14)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p14-1.png" width="700"></p>
-<div class="sourceCode" id="cb90"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb90-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p14)</a></code></pre></div>
+<div class="sourceCode" id="cb97"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb97-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p14)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 48.43249 28.67746 27.26248
@@ -720,28 +756,31 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 99.47124 1.71e-31 98.37313 1.01e+02
-## k_parent_sink 0.00279 2.22e-15 0.00255 3.05e-03
+## parent_0 99.47124 2.06e-30 98.42254 1.01e+02
+## k_parent_sink 0.00279 3.75e-15 0.00256 3.04e-03
+## sigma 1.55616 3.81e-06 1.03704 2.08e+00
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.00e+02 NA 9.93e+01 1.01e+02
-## k__iore_parent_sink 9.44e-08 NA 6.81e-11 1.31e-04
-## N_parent 3.31e+00 NA 1.69e+00 4.93e+00
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.00e+02 NA NaN NaN
+## k__iore_parent_sink 9.44e-08 NA NaN NaN
+## N_parent 3.31e+00 NA NaN NaN
+## sigma 1.20e+00 NA 0.796 1.6
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.00e+02 2.70e-28 NA NA
-## k1 9.53e-03 3.39e-01 NA NA
-## k2 9.19e-12 5.00e-01 NA NA
-## g 3.98e-01 3.92e-01 NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.00e+02 2.96e-28 99.40280 101.2768
+## k1 9.53e-03 1.20e-01 0.00638 0.0143
+## k2 6.17e-12 5.00e-01 0.00000 Inf
+## g 3.98e-01 2.19e-01 0.30481 0.4998
+## sigma 1.17e+00 7.68e-06 0.77406 1.5610
##
##
## DTx values:
## DT50 DT90 DT50_rep
## SFO 2.48e+02 8.25e+02 2.48e+02
## IORE 4.34e+02 2.22e+04 6.70e+03
-## DFOP 2.02e+10 1.95e+11 7.54e+10
+## DFOP 3.00e+10 2.91e+11 1.12e+11
##
## Representative half-life:
## [1] 6697.437</code></pre>
@@ -750,14 +789,17 @@
<div id="n-is-less-than-1-and-dfop-fraction-parameter-is-below-zero" class="section level1">
<h1 class="hasAnchor">
<a href="#n-is-less-than-1-and-dfop-fraction-parameter-is-below-zero" class="anchor"></a>N is less than 1 and DFOP fraction parameter is below zero</h1>
-<div class="sourceCode" id="cb92"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb92-1" title="1">p15a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15a"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb99"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb99-1" title="1">p15a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15a"</span>]])</a></code></pre></div>
+<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
+<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
+## finite result is doubtful</code></pre>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb96"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb96-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15a)</a></code></pre></div>
+<div class="sourceCode" id="cb106"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb106-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15a)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p15a-1.png" width="700"></p>
-<div class="sourceCode" id="cb97"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb97-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15a)</a></code></pre></div>
+<div class="sourceCode" id="cb107"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb107-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15a)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 245.5248 135.0132 245.5248
@@ -767,22 +809,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.96751 4.98e-16 94.03829 101.8967
-## k_parent_sink 0.00952 5.24e-09 0.00813 0.0112
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.96751 2.00e-15 94.32049 101.615
+## k_parent_sink 0.00952 4.93e-09 0.00824 0.011
+## sigma 4.18778 1.28e-04 2.44588 5.930
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 95.874 8.30e-16 92.5802 99.167
-## k__iore_parent_sink 0.629 2.39e-01 0.0316 12.519
-## N_parent 0.000 5.00e-01 -0.7219 0.722
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 95.874 2.94e-15 92.937 98.811
+## k__iore_parent_sink 0.629 2.11e-01 0.044 8.982
+## N_parent 0.000 5.00e-01 -0.642 0.642
+## sigma 3.105 1.78e-04 1.795 4.416
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.96752 NA NA NA
-## k1 0.00952 NA NA NA
-## k2 0.00952 NA NA NA
-## g 0.17247 NA NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.96751 2.85e-13 94.21913 101.7159
+## k1 0.00952 5.68e-02 0.00262 0.0347
+## k2 0.00952 1.52e-04 0.00639 0.0142
+## g 0.22357 NaN NA NA
+## sigma 4.18778 2.50e-04 2.39747 5.9781
##
##
## DTx values:
@@ -793,14 +838,12 @@
##
## Representative half-life:
## [1] 41.32749</code></pre>
-<div class="sourceCode" id="cb99"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb99-1" title="1">p15b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+<div class="sourceCode" id="cb109"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb109-1" title="1">p15b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15b"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The half-life obtained from the IORE model may be used</code></pre>
-<div class="sourceCode" id="cb103"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb103-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15b)</a></code></pre></div>
+<div class="sourceCode" id="cb112"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb112-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p15b)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p15b-1.png" width="700"></p>
-<div class="sourceCode" id="cb104"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb104-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15b)</a></code></pre></div>
+<div class="sourceCode" id="cb113"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb113-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p15b)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 106.91629 68.55574 106.91629
@@ -811,21 +854,24 @@
## Parameters:
## $SFO
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.01e+02 4.99e-18 98.12761 1.04e+02
-## k_parent_sink 4.86e-03 1.76e-10 0.00432 5.46e-03
+## parent_0 1.01e+02 3.06e-17 98.31594 1.03e+02
+## k_parent_sink 4.86e-03 2.48e-10 0.00435 5.42e-03
+## sigma 2.76e+00 1.28e-04 1.61402 3.91e+00
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 99.83 4.49e-17 97.19753 102.5
-## k__iore_parent_sink 0.38 3.41e-01 0.00206 70.0
-## N_parent 0.00 5.00e-01 -1.20105 1.2
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 99.83 1.81e-16 97.51349 102.14
+## k__iore_parent_sink 0.38 3.22e-01 0.00352 41.05
+## N_parent 0.00 5.00e-01 -1.07695 1.08
+## sigma 2.21 2.57e-04 1.23245 3.19
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.01e+02 NA NA NA
-## k1 4.86e-03 NA NA NA
-## k2 4.86e-03 NA NA NA
-## g 1.50e-01 NA NA NA
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.01e+02 NA 9.82e+01 1.04e+02
+## k1 4.86e-03 NA 6.49e-04 3.64e-02
+## k2 4.86e-03 NA 3.36e-03 7.03e-03
+## g 1.50e-01 NA 0.00e+00 1.00e+00
+## sigma 2.76e+00 NA 1.58e+00 3.94e+00
##
##
## DTx values:
@@ -841,14 +887,14 @@
<div id="the-dfop-fraction-parameter-is-greater-than-1" class="section level1">
<h1 class="hasAnchor">
<a href="#the-dfop-fraction-parameter-is-greater-than-1" class="anchor"></a>The DFOP fraction parameter is greater than 1</h1>
-<div class="sourceCode" id="cb106"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb106-1" title="1">p16 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p16"</span>]])</a></code></pre></div>
+<div class="sourceCode" id="cb115"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb115-1" title="1">p16 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p16"</span>]])</a></code></pre></div>
<pre><code>## The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</code></pre>
<pre><code>## The representative half-life of the IORE model is longer than the one corresponding</code></pre>
<pre><code>## to the terminal degradation rate found with the DFOP model.</code></pre>
<pre><code>## The representative half-life obtained from the DFOP model may be used</code></pre>
-<div class="sourceCode" id="cb111"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb111-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p16)</a></code></pre></div>
+<div class="sourceCode" id="cb120"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb120-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p16)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p16-1.png" width="700"></p>
-<div class="sourceCode" id="cb112"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb112-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p16)</a></code></pre></div>
+<div class="sourceCode" id="cb121"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb121-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p16)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 3831.804 2062.008 1550.980
@@ -858,22 +904,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 71.953 3.92e-14 61.087 82.819
-## k_parent_sink 0.159 2.27e-06 0.111 0.229
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 71.953 2.33e-13 60.509 83.40
+## k_parent_sink 0.159 4.86e-05 0.102 0.25
+## sigma 11.302 1.25e-08 8.308 14.30
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 8.74e+01 1.74e-16 7.71e+01 97.70701
-## k__iore_parent_sink 4.55e-04 2.28e-01 3.01e-05 0.00688
-## N_parent 2.70e+00 1.87e-08 1.97e+00 3.42611
+## parent_0 8.74e+01 2.48e-16 7.72e+01 97.52972
+## k__iore_parent_sink 4.55e-04 2.16e-01 3.48e-05 0.00595
+## N_parent 2.70e+00 1.21e-08 1.99e+00 3.40046
+## sigma 8.29e+00 1.61e-08 6.09e+00 10.49062
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 88.5333 NA 79.3673 97.699
-## k1 18.5562 NA 0.0000 Inf
-## k2 0.0776 NA 0.0471 0.128
-## g 0.4733 NA 0.3138 0.639
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 88.5333 7.40e-18 79.9836 97.083
+## k1 18.6317 5.00e-01 0.0000 Inf
+## k2 0.0776 1.41e-05 0.0518 0.116
+## g 0.4733 1.41e-09 0.3674 0.582
+## sigma 7.1902 2.11e-08 5.2785 9.102
##
##
## DTx values:
diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png
index df60b257..5858c8f1 100644
--- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png
+++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p13-1.png
Binary files differ
diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p14-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p14-1.png
index 02975183..f0077768 100644
--- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p14-1.png
+++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p14-1.png
Binary files differ
diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png
index 3b39d9fa..0f01d16d 100644
--- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png
+++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p5a-1.png
Binary files differ
diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png
index 866f1523..3ef2018d 100644
--- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png
+++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9a-1.png
Binary files differ
diff --git a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png
index 7f99d9cd..fe37b65c 100644
--- a/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png
+++ b/docs/articles/web_only/NAFTA_examples_files/figure-html/p9b-1.png
Binary files differ
diff --git a/docs/articles/web_only/benchmarks.html b/docs/articles/web_only/benchmarks.html
new file mode 100644
index 00000000..403cb1db
--- /dev/null
+++ b/docs/articles/web_only/benchmarks.html
@@ -0,0 +1,292 @@
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+ <h1>Benchmark timings for mkin on various systems</h1>
+ <h4 class="author">Johannes Ranke</h4>
+
+ <h4 class="date">2019-04-10</h4>
+
+
+ <div class="hidden name"><code>benchmarks.Rmd</code></div>
+
+ </div>
+
+
+
+<div id="systems" class="section level2">
+<h2 class="hasAnchor">
+<a href="#systems" class="anchor"></a>Systems</h2>
+<p>Each system is characterized by its CPU type, the operating system type and the mkin version.</p>
+<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" title="1">cpu_model &lt;-<span class="st"> </span>benchmarkme<span class="op">::</span><span class="kw"><a href="https://www.rdocumentation.org/packages/benchmarkme/topics/get_cpu">get_cpu</a></span>()<span class="op">$</span>model_name</a>
+<a class="sourceLine" id="cb1-2" title="2">operating_system &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Sys.info">Sys.info</a></span>()[[<span class="st">"sysname"</span>]]</a>
+<a class="sourceLine" id="cb1-3" title="3">mkin_version &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/character">as.character</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/utils/topics/packageDescription">packageVersion</a></span>(<span class="st">"mkin"</span>))</a>
+<a class="sourceLine" id="cb1-4" title="4">system_string &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/paste">paste0</a></span>(operating_system, <span class="st">", "</span>, cpu_model, <span class="st">", mkin version "</span>, mkin_version)</a>
+<a class="sourceLine" id="cb1-5" title="5"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/load">load</a></span>(<span class="st">"~/git/mkin/inst/benchmark_data/mkin_benchmarks.rda"</span>)</a>
+<a class="sourceLine" id="cb1-6" title="6">mkin_benchmarks[system_string, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"CPU"</span>, <span class="st">"OS"</span>, <span class="st">"mkin"</span>)] &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(cpu_model, operating_system, mkin_version)</a>
+<a class="sourceLine" id="cb1-7" title="7"></a>
+<a class="sourceLine" id="cb1-8" title="8"><span class="cf">if</span> (mkin_version <span class="op">&gt;</span><span class="st"> "0.9.48.1"</span>) {</a>
+<a class="sourceLine" id="cb1-9" title="9"> mmkin_bench &lt;-<span class="st"> </span><span class="cf">function</span>(models, datasets, <span class="dt">error_model =</span> <span class="st">"const"</span>) <span class="kw"><a href="../../reference/mmkin.html">mmkin</a></span>(models, datasets, <span class="dt">error_model =</span> error_model, <span class="dt">cores =</span> <span class="dv">1</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb1-10" title="10">} <span class="cf">else</span> {</a>
+<a class="sourceLine" id="cb1-11" title="11"> mmkin_bench &lt;-<span class="st"> </span><span class="cf">function</span>(models, datasets, <span class="dt">error_model =</span> <span class="ot">NULL</span>) <span class="kw"><a href="../../reference/mmkin.html">mmkin</a></span>(models, datasets, <span class="dt">reweight.method =</span> error_model, <span class="dt">cores =</span> <span class="dv">1</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb1-12" title="12">}</a></code></pre></div>
+<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" title="1"><span class="co"># Parent only</span></a>
+<a class="sourceLine" id="cb2-2" title="2">t1 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>, <span class="st">"HS"</span>), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_C, FOCUS_<span class="dv">2006</span>_D)))[[<span class="st">"elapsed"</span>]]</a>
+<a class="sourceLine" id="cb2-3" title="3">t2 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>, <span class="st">"HS"</span>), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_C, FOCUS_<span class="dv">2006</span>_D), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[[<span class="st">"elapsed"</span>]]</a>
+<a class="sourceLine" id="cb2-4" title="4"></a>
+<a class="sourceLine" id="cb2-5" title="5"><span class="co"># One metabolite</span></a>
+<a class="sourceLine" id="cb2-6" title="6">SFO_SFO &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a>
+<a class="sourceLine" id="cb2-7" title="7"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"m1"</span>),</a>
+<a class="sourceLine" id="cb2-8" title="8"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
+<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
+<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" title="1">FOMC_SFO &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a>
+<a class="sourceLine" id="cb4-2" title="2"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a>
+<a class="sourceLine" id="cb4-3" title="3"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
+<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
+<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" title="1">DFOP_SFO &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a>
+<a class="sourceLine" id="cb6-2" title="2"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a>
+<a class="sourceLine" id="cb6-3" title="3"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))</a></code></pre></div>
+<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
+<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1">t3 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_D)))[[<span class="st">"elapsed"</span>]]</a></code></pre></div>
+<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...):
+## Observations with value of zero were removed from the data
+
+## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...):
+## Observations with value of zero were removed from the data
+
+## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...):
+## Observations with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1">t4 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/subset">subset</a></span>(FOCUS_<span class="dv">2006</span>_D, value <span class="op">!=</span><span class="st"> </span><span class="dv">0</span>)), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[[<span class="st">"elapsed"</span>]]</a>
+<a class="sourceLine" id="cb10-2" title="2">t5 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_SFO, FOMC_SFO, DFOP_SFO), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(FOCUS_<span class="dv">2006</span>_D), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[[<span class="st">"elapsed"</span>]]</a></code></pre></div>
+<pre><code>## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...):
+## Observations with value of zero were removed from the data
+
+## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...):
+## Observations with value of zero were removed from the data
+
+## Warning in mkinfit(models[[model_index]], datasets[[dataset_index]], ...):
+## Observations with value of zero were removed from the data</code></pre>
+<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1"><span class="co"># Two metabolites, synthetic data</span></a>
+<a class="sourceLine" id="cb12-2" title="2">m_synth_SFO_lin &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M1"</span>),</a>
+<a class="sourceLine" id="cb12-3" title="3"> <span class="dt">M1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M2"</span>),</a>
+<a class="sourceLine" id="cb12-4" title="4"> <span class="dt">M2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
+<a class="sourceLine" id="cb12-5" title="5"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb12-6" title="6"></a>
+<a class="sourceLine" id="cb12-7" title="7">m_synth_DFOP_par &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"DFOP"</span>, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(<span class="st">"M1"</span>, <span class="st">"M2"</span>)),</a>
+<a class="sourceLine" id="cb12-8" title="8"> <span class="dt">M1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
+<a class="sourceLine" id="cb12-9" title="9"> <span class="dt">M2 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),</a>
+<a class="sourceLine" id="cb12-10" title="10"> <span class="dt">use_of_ff =</span> <span class="st">"max"</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb12-11" title="11"></a>
+<a class="sourceLine" id="cb12-12" title="12">SFO_lin_a &lt;-<span class="st"> </span>synthetic_data_for_UBA_<span class="dv">2014</span>[[<span class="dv">1</span>]]<span class="op">$</span>data</a>
+<a class="sourceLine" id="cb12-13" title="13"></a>
+<a class="sourceLine" id="cb12-14" title="14">DFOP_par_c &lt;-<span class="st"> </span>synthetic_data_for_UBA_<span class="dv">2014</span>[[<span class="dv">12</span>]]<span class="op">$</span>data</a>
+<a class="sourceLine" id="cb12-15" title="15"></a>
+<a class="sourceLine" id="cb12-16" title="16">t6 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a)))[<span class="st">"elapsed"</span>]</a>
+<a class="sourceLine" id="cb12-17" title="17">t7 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c)))[<span class="st">"elapsed"</span>]</a>
+<a class="sourceLine" id="cb12-18" title="18"></a>
+<a class="sourceLine" id="cb12-19" title="19">t8 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[<span class="st">"elapsed"</span>]</a>
+<a class="sourceLine" id="cb12-20" title="20">t9 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c), <span class="dt">error_model =</span> <span class="st">"tc"</span>))[<span class="st">"elapsed"</span>]</a>
+<a class="sourceLine" id="cb12-21" title="21"></a>
+<a class="sourceLine" id="cb12-22" title="22">t10 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_SFO_lin), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(SFO_lin_a), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[<span class="st">"elapsed"</span>]</a>
+<a class="sourceLine" id="cb12-23" title="23">t11 &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/system.time">system.time</a></span>(<span class="kw">mmkin_bench</span>(<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(m_synth_DFOP_par), <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/list">list</a></span>(DFOP_par_c), <span class="dt">error_model =</span> <span class="st">"obs"</span>))[<span class="st">"elapsed"</span>]</a>
+<a class="sourceLine" id="cb12-24" title="24"></a>
+<a class="sourceLine" id="cb12-25" title="25">mkin_benchmarks[system_string, <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/paste">paste0</a></span>(<span class="st">"t"</span>, <span class="dv">1</span><span class="op">:</span><span class="dv">11</span>)] &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11)</a>
+<a class="sourceLine" id="cb12-26" title="26">mkin_benchmarks</a></code></pre></div>
+<pre><code>## CPU
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 AMD Ryzen 7 1700 Eight-Core Processor
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 AMD Ryzen 7 1700 Eight-Core Processor
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 AMD Ryzen 7 1700 Eight-Core Processor
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 AMD Ryzen 7 1700 Eight-Core Processor
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 AMD Ryzen 7 1700 Eight-Core Processor
+## OS
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 Linux
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 Linux
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 Linux
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 Linux
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 Linux
+## mkin
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 0.9.48.1
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 0.9.49.1
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 0.9.49.2
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 0.9.49.3
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 0.9.49.4
+## t1
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 3.610
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 8.184
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 7.064
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.296
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 6.303
+## t2
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 11.019
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 22.889
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 12.558
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 21.239
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 21.837
+## t3
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 3.764
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 4.649
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 4.786
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 4.510
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.487
+## t4
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 14.347
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 13.789
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 8.461
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 13.805
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 14.162
+## t5
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 9.495
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 6.395
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 5.675
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.386
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 6.021
+## t6
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 2.623
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 2.542
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 2.723
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 2.643
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 2.657
+## t7
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 4.587
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 4.128
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 4.478
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 4.374
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.523
+## t8
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 7.525
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 4.632
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 4.862
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.02
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.72
+## t9
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 16.621
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 8.171
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 7.618
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 11.124
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 8.364
+## t10
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 8.576
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 3.676
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 3.579
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 5.388
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 3.623
+## t11
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.48.1 31.267
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.1 5.636
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.2 5.574
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.3 7.365
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 5.95</code></pre>
+<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/save">save</a></span>(mkin_benchmarks, <span class="dt">file =</span> <span class="st">"~/git/mkin/inst/benchmark_data/mkin_benchmarks.rda"</span>)</a></code></pre></div>
+</div>
+ </div>
+
+ <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
+ <div id="tocnav">
+ <h2 class="hasAnchor">
+<a href="#tocnav" class="anchor"></a>Contents</h2>
+ <ul class="nav nav-pills nav-stacked">
+<li><a href="#systems">Systems</a></li>
+ </ul>
+</div>
+ </div>
+
+</div>
+
+
+ <footer><div class="copyright">
+ <p>Developed by Johannes Ranke.</p>
+</div>
+
+<div class="pkgdown">
+ <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.3.0.9000.</p>
+</div>
+ </footer>
+</div>
+
+
+
+ </body>
+</html>
diff --git a/docs/articles/web_only/compiled_models.html b/docs/articles/web_only/compiled_models.html
index 269b1098..597b7c55 100644
--- a/docs/articles/web_only/compiled_models.html
+++ b/docs/articles/web_only/compiled_models.html
@@ -30,7 +30,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -88,7 +88,7 @@
<h1>Performance benefit by using compiled model definitions in mkin</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-03-04</h4>
+ <h4 class="date">2019-04-10</h4>
<div class="hidden name"><code>compiled_models.Rmd</code></div>
@@ -125,49 +125,103 @@
<a class="sourceLine" id="cb5-12" title="12"> factor_SFO_SFO &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Round">round</a></span>(b<span class="fl">.1</span>[<span class="st">"1"</span>, <span class="st">"relative"</span>])</a>
<a class="sourceLine" id="cb5-13" title="13">} <span class="cf">else</span> {</a>
<a class="sourceLine" id="cb5-14" title="14"> factor_SFO_SFO &lt;-<span class="st"> </span><span class="ot">NA</span></a>
-<a class="sourceLine" id="cb5-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package benchmark is not available"</span>)</a>
+<a class="sourceLine" id="cb5-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package rbenchmark is not available"</span>)</a>
<a class="sourceLine" id="cb5-16" title="16">}</a></code></pre></div>
<pre><code>## Lade nötiges Paket: rbenchmark</code></pre>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve",
+## use_compiled = FALSE, : Observations with value of zero were removed from
+## the data</code></pre>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet =
+## TRUE): Observations with value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet
+## = TRUE): Observations with value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve",
+## use_compiled = FALSE, : Observations with value of zero were removed from
+## the data
+
+## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve",
+## use_compiled = FALSE, : Observations with value of zero were removed from
+## the data
+
+## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve",
+## use_compiled = FALSE, : Observations with value of zero were removed from
+## the data</code></pre>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet =
+## TRUE): Observations with value of zero were removed from the data
+
+## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet =
+## TRUE): Observations with value of zero were removed from the data
+
+## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "eigen", quiet =
+## TRUE): Observations with value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet
+## = TRUE): Observations with value of zero were removed from the data
+
+## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet
+## = TRUE): Observations with value of zero were removed from the data
+
+## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, solution_type = "deSolve", quiet
+## = TRUE): Observations with value of zero were removed from the data</code></pre>
<pre><code>## test replications elapsed relative user.self sys.self
-## 3 deSolve, compiled 3 2.310 1.000 2.308 0
-## 1 deSolve, not compiled 3 17.509 7.580 17.500 0
-## 2 Eigenvalue based 3 2.859 1.238 2.858 0
+## 3 deSolve, compiled 3 3.215 1.000 3.213 0
+## 1 deSolve, not compiled 3 42.468 13.209 42.445 0
+## 2 Eigenvalue based 3 4.666 1.451 4.663 0
## user.child sys.child
## 3 0 0
## 1 0 0
## 2 0 0</code></pre>
-<p>We see that using the compiled model is by a factor of around 8 faster than using the R version with the default ode solver, and it is even faster than the Eigenvalue based solution implemented in R which does not need iterative solution of the ODEs.</p>
+<p>We see that using the compiled model is by a factor of around 13 faster than using the R version with the default ode solver, and it is even faster than the Eigenvalue based solution implemented in R which does not need iterative solution of the ODEs.</p>
</div>
<div id="model-that-can-not-be-solved-with-eigenvalues" class="section level2">
<h2 class="hasAnchor">
<a href="#model-that-can-not-be-solved-with-eigenvalues" class="anchor"></a>Model that can not be solved with Eigenvalues</h2>
<p>This evaluation is also taken from the example section of mkinfit.</p>
-<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="cf">if</span> (<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">require</a></span>(rbenchmark)) {</a>
-<a class="sourceLine" id="cb8-2" title="2"> FOMC_SFO &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a>
-<a class="sourceLine" id="cb8-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a>
-<a class="sourceLine" id="cb8-4" title="4"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>( <span class="st">"SFO"</span>))</a>
-<a class="sourceLine" id="cb8-5" title="5"></a>
-<a class="sourceLine" id="cb8-6" title="6"> b<span class="fl">.2</span> &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/rbenchmark/topics/benchmark">benchmark</a></span>(</a>
-<a class="sourceLine" id="cb8-7" title="7"> <span class="st">"deSolve, not compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D,</a>
-<a class="sourceLine" id="cb8-8" title="8"> <span class="dt">use_compiled =</span> <span class="ot">FALSE</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a>
-<a class="sourceLine" id="cb8-9" title="9"> <span class="st">"deSolve, compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a>
-<a class="sourceLine" id="cb8-10" title="10"> <span class="dt">replications =</span> <span class="dv">3</span>)</a>
-<a class="sourceLine" id="cb8-11" title="11"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(b<span class="fl">.2</span>)</a>
-<a class="sourceLine" id="cb8-12" title="12"> factor_FOMC_SFO &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Round">round</a></span>(b<span class="fl">.2</span>[<span class="st">"1"</span>, <span class="st">"relative"</span>])</a>
-<a class="sourceLine" id="cb8-13" title="13">} <span class="cf">else</span> {</a>
-<a class="sourceLine" id="cb8-14" title="14"> factor_FOMC_SFO &lt;-<span class="st"> </span><span class="ot">NA</span></a>
-<a class="sourceLine" id="cb8-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package benchmark is not available"</span>)</a>
-<a class="sourceLine" id="cb8-16" title="16">}</a></code></pre></div>
+<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1"><span class="cf">if</span> (<span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/library">require</a></span>(rbenchmark)) {</a>
+<a class="sourceLine" id="cb14-2" title="2"> FOMC_SFO &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinmod.html">mkinmod</a></span>(</a>
+<a class="sourceLine" id="cb14-3" title="3"> <span class="dt">parent =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),</a>
+<a class="sourceLine" id="cb14-4" title="4"> <span class="dt">m1 =</span> <span class="kw"><a href="../../reference/mkinsub.html">mkinsub</a></span>( <span class="st">"SFO"</span>))</a>
+<a class="sourceLine" id="cb14-5" title="5"></a>
+<a class="sourceLine" id="cb14-6" title="6"> b<span class="fl">.2</span> &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/rbenchmark/topics/benchmark">benchmark</a></span>(</a>
+<a class="sourceLine" id="cb14-7" title="7"> <span class="st">"deSolve, not compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D,</a>
+<a class="sourceLine" id="cb14-8" title="8"> <span class="dt">use_compiled =</span> <span class="ot">FALSE</span>, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a>
+<a class="sourceLine" id="cb14-9" title="9"> <span class="st">"deSolve, compiled"</span> =<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(FOMC_SFO, FOCUS_<span class="dv">2006</span>_D, <span class="dt">quiet =</span> <span class="ot">TRUE</span>),</a>
+<a class="sourceLine" id="cb14-10" title="10"> <span class="dt">replications =</span> <span class="dv">3</span>)</a>
+<a class="sourceLine" id="cb14-11" title="11"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(b<span class="fl">.2</span>)</a>
+<a class="sourceLine" id="cb14-12" title="12"> factor_FOMC_SFO &lt;-<span class="st"> </span><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/Round">round</a></span>(b<span class="fl">.2</span>[<span class="st">"1"</span>, <span class="st">"relative"</span>])</a>
+<a class="sourceLine" id="cb14-13" title="13">} <span class="cf">else</span> {</a>
+<a class="sourceLine" id="cb14-14" title="14"> factor_FOMC_SFO &lt;-<span class="st"> </span><span class="ot">NA</span></a>
+<a class="sourceLine" id="cb14-15" title="15"> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(<span class="st">"R package benchmark is not available"</span>)</a>
+<a class="sourceLine" id="cb14-16" title="16">}</a></code></pre></div>
<pre><code>## Successfully compiled differential equation model from auto-generated C code.</code></pre>
+<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet =
+## TRUE): Observations with value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with
+## value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet =
+## TRUE): Observations with value of zero were removed from the data
+
+## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet =
+## TRUE): Observations with value of zero were removed from the data
+
+## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, use_compiled = FALSE, quiet =
+## TRUE): Observations with value of zero were removed from the data</code></pre>
+<pre><code>## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with
+## value of zero were removed from the data
+
+## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with
+## value of zero were removed from the data
+
+## Warning in mkinfit(FOMC_SFO, FOCUS_2006_D, quiet = TRUE): Observations with
+## value of zero were removed from the data</code></pre>
<pre><code>## test replications elapsed relative user.self sys.self
-## 2 deSolve, compiled 3 4.074 1.000 4.072 0
-## 1 deSolve, not compiled 3 37.219 9.136 37.203 0
+## 2 deSolve, compiled 3 4.906 1.000 4.902 0
+## 1 deSolve, not compiled 3 70.459 14.362 70.421 0
## user.child sys.child
## 2 0 0
## 1 0 0</code></pre>
-<p>Here we get a performance benefit of a factor of 9 using the version of the differential equation model compiled from C code!</p>
-<p>This vignette was built with mkin 0.9.48.1 on</p>
-<pre><code>## R version 3.5.2 (2018-12-20)
+<p>Here we get a performance benefit of a factor of 14 using the version of the differential equation model compiled from C code!</p>
+<p>This vignette was built with mkin 0.9.49.4 on</p>
+<pre><code>## R version 3.5.3 (2019-03-11)
## Platform: x86_64-pc-linux-gnu (64-bit)
## Running under: Debian GNU/Linux 9 (stretch)</code></pre>
<pre><code>## CPU model: AMD Ryzen 7 1700 Eight-Core Processor</code></pre>
diff --git a/docs/authors.html b/docs/authors.html
index d3516580..9d47c66a 100644
--- a/docs/authors.html
+++ b/docs/authors.html
@@ -60,7 +60,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/index.html b/docs/index.html
index f7e4c6c8..2f494511 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -37,7 +37,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/news/index.html b/docs/news/index.html
index cb56adf5..aad50dce 100644
--- a/docs/news/index.html
+++ b/docs/news/index.html
@@ -60,7 +60,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -122,9 +122,24 @@
</div>
+ <div id="mkin-0-9-49-4-2019-04-09" class="section level1">
+<h1 class="page-header">
+<a href="#mkin-0-9-49-4-2019-04-09" class="anchor"></a>mkin 0.9.49.4 (2019-04-09)<small> Unreleased </small>
+</h1>
+<ul>
+<li><p>Direct minimization of the negative log-likelihood for non-constant error models (two-component and variance by variable). In the case the error model is constant variance, least squares is used as this is more stable</p></li>
+<li><p>The argument ‘reweight.method’ to mkinfit and mmkin is now obsolete, use ‘error_model’ instead</p></li>
+<li><p>Remove dependency on FME, only use nlminb for optimisation</p></li>
+<li><p>Use the numDeriv package to calculate hessians</p></li>
+<li><p>Add a benchmark vignette to document the impact on performance. For very simple fits, the new code is a bit slower, presumably because of the time it takes to calculate the hessian matrices with and without parameter transformation</p></li>
+<li><p>The code for manual weighting was removed</p></li>
+<li><p>The fitting time reported in the summary now includes the calculation of the hessians</p></li>
+<li><p>Adapt tests</p></li>
+</ul>
+</div>
<div id="mkin-0-9-48-1-2019-03-04" class="section level1">
<h1 class="page-header">
-<a href="#mkin-0-9-48-1-2019-03-04" class="anchor"></a>mkin 0.9.48.1 (2019-03-04)<small> Unreleased </small>
+<a href="#mkin-0-9-48-1-2019-03-04" class="anchor"></a>mkin 0.9.48.1 (2019-03-04)<small> 2019-03-04 </small>
</h1>
<ul>
<li><p>Add the function ‘logLik.mkinfit’ which makes it possible to calculate an AIC for mkinfit objects</p></li>
@@ -680,6 +695,7 @@
<div id="tocnav">
<h2>Contents</h2>
<ul class="nav nav-pills nav-stacked">
+ <li><a href="#mkin-0-9-49-4-2019-04-09">0.9.49.4</a></li>
<li><a href="#mkin-0-9-48-1-2019-03-04">0.9.48.1</a></li>
<li><a href="#mkin-0-9-47-5-2018-09-14">0.9.47.5</a></li>
<li><a href="#mkin-0-9-47-3">0.9.47.3</a></li>
diff --git a/docs/pkgdown.yml b/docs/pkgdown.yml
index 85d3ba48..eda9c58f 100644
--- a/docs/pkgdown.yml
+++ b/docs/pkgdown.yml
@@ -8,5 +8,6 @@ articles:
twa: twa.html
FOCUS_Z: web_only/FOCUS_Z.html
NAFTA_examples: web_only/NAFTA_examples.html
+ benchmarks: web_only/benchmarks.html
compiled_models: web_only/compiled_models.html
diff --git a/docs/reference/AIC.mmkin.html b/docs/reference/AIC.mmkin.html
index 1224fbe6..d5386145 100644
--- a/docs/reference/AIC.mmkin.html
+++ b/docs/reference/AIC.mmkin.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -163,22 +163,22 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'> <span class='no'>f</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mmkin.html'>mmkin</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"FOMC"</span>, <span class='st'>"DFOP"</span>),
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='st'>"FOCUS A"</span> <span class='kw'>=</span> <span class='no'>FOCUS_2006_A</span>,
- <span class='st'>"FOCUS C"</span> <span class='kw'>=</span> <span class='no'>FOCUS_2006_C</span>), <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Optimisation by method Port did not converge:</span>
-#&gt; <span class='warning'>false convergence (8)</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f</span>[<span class='fl'>1</span>, <span class='st'>"FOCUS A"</span>]) <span class='co'># We get a single number for a single fit</span></div><div class='output co'>#&gt; [1] 55.32452</div><div class='input'>
+ <span class='st'>"FOCUS C"</span> <span class='kw'>=</span> <span class='no'>FOCUS_2006_C</span>), <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Optimisation did not converge:</span>
+#&gt; <span class='warning'>false convergence (8)</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f</span>[<span class='fl'>1</span>, <span class='st'>"FOCUS A"</span>]) <span class='co'># We get a single number for a single fit</span></div><div class='output co'>#&gt; [1] 55.28197</div><div class='input'>
<span class='co'># For FOCUS A, the models fit almost equally well, so the higher the number</span>
<span class='co'># of parameters, the higher (worse) the AIC</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f</span>[, <span class='st'>"FOCUS A"</span>])</div><div class='output co'>#&gt; df AIC
-#&gt; SFO 3 55.32452
-#&gt; FOMC 4 57.32477
-#&gt; DFOP 5 59.32452</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f</span>[, <span class='st'>"FOCUS A"</span>], <span class='kw'>k</span> <span class='kw'>=</span> <span class='fl'>0</span>) <span class='co'># If we do not penalize additional parameters, we get nearly the same</span></div><div class='output co'>#&gt; df AIC
-#&gt; SFO 3 49.32452
-#&gt; FOMC 4 49.32477
-#&gt; DFOP 5 49.32452</div><div class='input'>
+#&gt; SFO 3 55.28197
+#&gt; FOMC 4 57.28198
+#&gt; DFOP 5 59.28197</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f</span>[, <span class='st'>"FOCUS A"</span>], <span class='kw'>k</span> <span class='kw'>=</span> <span class='fl'>0</span>) <span class='co'># If we do not penalize additional parameters, we get nearly the same</span></div><div class='output co'>#&gt; df AIC
+#&gt; SFO 3 49.28197
+#&gt; FOMC 4 49.28198
+#&gt; DFOP 5 49.28197</div><div class='input'>
<span class='co'># For FOCUS C, the more complex models fit better</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f</span>[, <span class='st'>"FOCUS C"</span>])</div><div class='output co'>#&gt; df AIC
-#&gt; SFO 3 59.84675
-#&gt; FOMC 4 44.70584
-#&gt; DFOP 5 29.08369</div></pre>
+#&gt; SFO 3 59.29336
+#&gt; FOMC 4 44.68652
+#&gt; DFOP 5 29.02372</div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/CAKE_export.html b/docs/reference/CAKE_export.html
index 38b8368c..e4ed9cda 100644
--- a/docs/reference/CAKE_export.html
+++ b/docs/reference/CAKE_export.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/DFOP.solution.html b/docs/reference/DFOP.solution.html
index 378d6eb2..335c3a80 100644
--- a/docs/reference/DFOP.solution.html
+++ b/docs/reference/DFOP.solution.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/Extract.mmkin.html b/docs/reference/Extract.mmkin.html
index 3567af48..77eff52e 100644
--- a/docs/reference/Extract.mmkin.html
+++ b/docs/reference/Extract.mmkin.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -172,26 +172,26 @@
<span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
<span class='no'>fits</span>[<span class='st'>"FOMC"</span>, ]</div><div class='output co'>#&gt; dataset
#&gt; model B C
-#&gt; FOMC List,45 List,45
+#&gt; FOMC List,36 List,36
#&gt; attr(,"class")
#&gt; [1] "mmkin"</div><div class='input'> <span class='no'>fits</span>[, <span class='st'>"B"</span>]</div><div class='output co'>#&gt; dataset
#&gt; model B
-#&gt; SFO List,45
-#&gt; FOMC List,45
+#&gt; SFO List,36
+#&gt; FOMC List,36
#&gt; attr(,"class")
#&gt; [1] "mmkin"</div><div class='input'> <span class='no'>fits</span>[<span class='st'>"SFO"</span>, <span class='st'>"B"</span>]</div><div class='output co'>#&gt; dataset
#&gt; model B
-#&gt; SFO List,45
+#&gt; SFO List,36
#&gt; attr(,"class")
#&gt; [1] "mmkin"</div><div class='input'>
<span class='fu'><a href='https://www.rdocumentation.org/packages/utils/topics/head'>head</a></span>(
<span class='co'># This extracts an mkinfit object with lots of components</span>
<span class='no'>fits</span><span class='kw'>[[</span><span class='st'>"FOMC"</span>, <span class='st'>"B"</span>]]
)</div><div class='output co'>#&gt; $par
-#&gt; parent_0 log_alpha log_beta
-#&gt; 99.666193 2.549849 5.050586
+#&gt; parent_0 log_alpha log_beta sigma
+#&gt; 99.666193 2.549849 5.050586 1.890202
#&gt;
-#&gt; $ssr
+#&gt; $objective
#&gt; [1] 28.58291
#&gt;
#&gt; $convergence
@@ -202,10 +202,10 @@
#&gt;
#&gt; $evaluations
#&gt; function gradient
-#&gt; 25 78
+#&gt; 25 76
#&gt;
-#&gt; $counts
-#&gt; [1] "relative convergence (4)"
+#&gt; $message
+#&gt; [1] "both X-convergence and relative convergence (5)"
#&gt; </div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
diff --git a/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html b/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html
index cdceeb0b..047a5f4d 100644
--- a/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html
+++ b/docs/reference/FOCUS_2006_DFOP_ref_A_to_B.html
@@ -67,7 +67,7 @@ in this fit." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html b/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html
index 0f51b1ce..cc3560ed 100644
--- a/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html
+++ b/docs/reference/FOCUS_2006_FOMC_ref_A_to_F.html
@@ -67,7 +67,7 @@ in this fit." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/FOCUS_2006_HS_ref_A_to_F.html b/docs/reference/FOCUS_2006_HS_ref_A_to_F.html
index e0b8d760..5f6fc197 100644
--- a/docs/reference/FOCUS_2006_HS_ref_A_to_F.html
+++ b/docs/reference/FOCUS_2006_HS_ref_A_to_F.html
@@ -67,7 +67,7 @@ in this fit." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html b/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html
index d07fb469..45d00237 100644
--- a/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html
+++ b/docs/reference/FOCUS_2006_SFO_ref_A_to_F.html
@@ -67,7 +67,7 @@ in this fit." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/FOCUS_2006_datasets.html b/docs/reference/FOCUS_2006_datasets.html
index b766c88b..2b060f47 100644
--- a/docs/reference/FOCUS_2006_datasets.html
+++ b/docs/reference/FOCUS_2006_datasets.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/FOMC.solution.html b/docs/reference/FOMC.solution.html
index 8763c878..90a4810c 100644
--- a/docs/reference/FOMC.solution.html
+++ b/docs/reference/FOMC.solution.html
@@ -67,7 +67,7 @@ The form given here differs slightly from the original reference by Gustafson
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/HS.solution.html b/docs/reference/HS.solution.html
index 940d3186..1365e23f 100644
--- a/docs/reference/HS.solution.html
+++ b/docs/reference/HS.solution.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/IORE.solution.html b/docs/reference/IORE.solution.html
index 9a497f92..c9b79512 100644
--- a/docs/reference/IORE.solution.html
+++ b/docs/reference/IORE.solution.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -176,20 +176,20 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>IORE.solution</span>(<span class='no'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.2</span>, <span class='fl'>1.3</span>), <span class='fl'>0</span>, <span class='fl'>2</span>,
- <span class='kw'>ylim</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='fl'>0</span>, <span class='fl'>100</span>))</div><div class='img'><img src='IORE.solution-1.png' alt='' width='700' height='433' /></div><div class='input'> <span class='no'>fit.fomc</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"FOMC"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='no'>fit.iore</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"IORE"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='no'>fit.iore.deS</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"IORE"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-
- <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/data.frame'>data.frame</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit.fomc</span>), <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit.iore</span>), <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit.iore.deS</span>),
- <span class='kw'>row.names</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/paste'>paste</a></span>(<span class='st'>"model par"</span>, <span class='fl'>1</span>:<span class='fl'>3</span>)))</div><div class='output co'>#&gt; coef.fit.fomc. coef.fit.iore. coef.fit.iore.deS.
-#&gt; model par 1 85.87489063 85.874890 85.874890
-#&gt; model par 2 0.05192238 -4.826631 -4.826631
-#&gt; model par 3 0.65096665 1.949403 1.949403</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/cbind'>rbind</a></span>(<span class='kw'>fomc</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.fomc</span>)$<span class='no'>distimes</span>, <span class='kw'>iore</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>,
- <span class='kw'>iore.deS</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>))</div><div class='output co'>#&gt; DT50 DT90 DT50back
+ <pre class="examples"><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='kw'>function</span>(<span class='no'>x</span>) <span class='fu'>IORE.solution</span>(<span class='no'>x</span>, <span class='fl'>100</span>, <span class='fl'>0.2</span>, <span class='fl'>1.3</span>), <span class='fl'>0</span>, <span class='fl'>2</span>, <span class='kw'>ylim</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='fl'>0</span>, <span class='fl'>100</span>))</div><div class='img'><img src='IORE.solution-1.png' alt='' width='700' height='433' /></div><div class='input'> </div><div class='input'> <span class='no'>fit.fomc</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"FOMC"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+ <span class='no'>fit.iore</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"IORE"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+ <span class='no'>fit.iore.deS</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"IORE"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+
+ <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/data.frame'>data.frame</a></span>(<span class='no'>fit.fomc</span>$<span class='no'>par</span>, <span class='no'>fit.iore</span>$<span class='no'>par</span>, <span class='no'>fit.iore.deS</span>$<span class='no'>par</span>,
+ <span class='kw'>row.names</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/paste'>paste</a></span>(<span class='st'>"model par"</span>, <span class='fl'>1</span>:<span class='fl'>4</span>)))</div><div class='output co'>#&gt; fit.fomc.par fit.iore.par fit.iore.deS.par
+#&gt; model par 1 85.87488995 85.874890 85.874890
+#&gt; model par 2 0.05192228 -4.826631 -4.826631
+#&gt; model par 3 0.65096650 1.949403 1.949403
+#&gt; model par 4 1.85744396 1.857444 1.857444</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/cbind'>rbind</a></span>(<span class='kw'>fomc</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.fomc</span>)$<span class='no'>distimes</span>, <span class='kw'>iore</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>,
+ <span class='kw'>iore.deS</span> <span class='kw'>=</span> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.iore</span>)$<span class='no'>distimes</span>))</div><div class='output co'>#&gt; DT50 DT90 DT50back
#&gt; fomc 1.785233 15.1479 4.559973
#&gt; iore 1.785233 15.1479 4.559973
-#&gt; iore.deS 1.785233 15.1479 4.559973</div></pre>
+#&gt; iore.deS 1.785233 15.1479 4.559973</div><div class='input'> </div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/NAFTA_SOP_2015.html b/docs/reference/NAFTA_SOP_2015.html
index b2aba7ef..513cb128 100644
--- a/docs/reference/NAFTA_SOP_2015.html
+++ b/docs/reference/NAFTA_SOP_2015.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -155,8 +155,7 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'> <span class='no'>nafta_evaluation</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='nafta.html'>nafta</a></span>(<span class='no'>NAFTA_SOP_Appendix_D</span>, <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Calculation of the Jacobian failed for the cost function of the untransformed model.</span>
-#&gt; <span class='warning'>No t-test results will be available</span></div><div class='output co'>#&gt; <span class='message'>The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life of the IORE model is longer than the one corresponding</span></div><div class='output co'>#&gt; <span class='message'>to the terminal degradation rate found with the DFOP model.</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life obtained from the DFOP model may be used</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='output co'>#&gt; Sums of squares:
+ <pre class="examples"><div class='input'> <span class='no'>nafta_evaluation</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='nafta.html'>nafta</a></span>(<span class='no'>NAFTA_SOP_Appendix_D</span>, <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>)</div><div class='output co'>#&gt; <span class='message'>The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life of the IORE model is longer than the one corresponding</span></div><div class='output co'>#&gt; <span class='message'>to the terminal degradation rate found with the DFOP model.</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life obtained from the DFOP model may be used</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='output co'>#&gt; Sums of squares:
#&gt; SFO IORE DFOP
#&gt; 1378.6832 615.7730 517.8836
#&gt;
@@ -165,22 +164,25 @@
#&gt;
#&gt; Parameters:
#&gt; $SFO
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 83.7558 8.08e-15 76.92822 90.58328
-#&gt; k_parent_sink 0.0017 7.45e-05 0.00111 0.00262
+#&gt; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 83.7558 1.80e-14 77.18268 90.3288
+#&gt; k_parent_sink 0.0017 7.43e-05 0.00112 0.0026
+#&gt; sigma 8.7518 1.22e-05 5.64278 11.8608
#&gt;
#&gt; $IORE
#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 9.69e+01 NA 8.75e+01 1.06e+02
-#&gt; k__iore_parent_sink 8.40e-14 NA 1.09e-19 6.47e-08
-#&gt; N_parent 6.68e+00 NA 3.54e+00 9.83e+00
+#&gt; parent_0 9.69e+01 NA 8.88e+01 1.05e+02
+#&gt; k__iore_parent_sink 8.40e-14 NA 1.79e-18 3.94e-09
+#&gt; N_parent 6.68e+00 NA 4.19e+00 9.17e+00
+#&gt; sigma 5.85e+00 NA 3.76e+00 7.94e+00
#&gt;
#&gt; $DFOP
#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 9.76e+01 4.44e-13 8.88e+01 1.06e+02
-#&gt; k1 4.24e-02 3.55e-02 1.41e-02 1.27e-01
-#&gt; k2 8.24e-04 2.06e-02 3.17e-04 2.14e-03
-#&gt; g 2.88e-01 1.31e-04 1.78e-01 4.30e-01
+#&gt; parent_0 9.76e+01 1.94e-13 9.02e+01 1.05e+02
+#&gt; k1 4.24e-02 5.92e-03 2.03e-02 8.88e-02
+#&gt; k2 8.24e-04 6.48e-03 3.89e-04 1.75e-03
+#&gt; g 2.88e-01 2.47e-05 1.95e-01 4.03e-01
+#&gt; sigma 5.36e+00 2.22e-05 3.43e+00 7.30e+00
#&gt;
#&gt;
#&gt; DTx values:
@@ -190,7 +192,7 @@
#&gt; DFOP 429 2380 841
#&gt;
#&gt; Representative half-life:
-#&gt; [1] 841.4096</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='img'><img src='NAFTA_SOP_2015-1.png' alt='' width='700' height='433' /></div></pre>
+#&gt; [1] 841.4094</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='img'><img src='NAFTA_SOP_2015-1.png' alt='' width='700' height='433' /></div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/NAFTA_SOP_Attachment-1.png b/docs/reference/NAFTA_SOP_Attachment-1.png
index d781cdb0..7c6c723f 100644
--- a/docs/reference/NAFTA_SOP_Attachment-1.png
+++ b/docs/reference/NAFTA_SOP_Attachment-1.png
Binary files differ
diff --git a/docs/reference/NAFTA_SOP_Attachment.html b/docs/reference/NAFTA_SOP_Attachment.html
index 22d9c9fd..ead06a54 100644
--- a/docs/reference/NAFTA_SOP_Attachment.html
+++ b/docs/reference/NAFTA_SOP_Attachment.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -152,7 +152,7 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'> <span class='no'>nafta_att_p5a</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='nafta.html'>nafta</a></span>(<span class='no'>NAFTA_SOP_Attachment</span><span class='kw'>[[</span><span class='st'>"p5a"</span>]], <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Could not estimate covariance matrix; singular system.</span></div><div class='output co'>#&gt; <span class='message'>The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</span></div><div class='output co'>#&gt; <span class='message'>The half-life obtained from the IORE model may be used</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>nafta_att_p5a</span>)</div><div class='output co'>#&gt; Sums of squares:
+ <pre class="examples"><div class='input'> <span class='no'>nafta_att_p5a</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='nafta.html'>nafta</a></span>(<span class='no'>NAFTA_SOP_Attachment</span><span class='kw'>[[</span><span class='st'>"p5a"</span>]], <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>)</div><div class='output co'>#&gt; <span class='message'>The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</span></div><div class='output co'>#&gt; <span class='message'>The half-life obtained from the IORE model may be used</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>nafta_att_p5a</span>)</div><div class='output co'>#&gt; Sums of squares:
#&gt; SFO IORE DFOP
#&gt; 465.21753 56.27506 32.06401
#&gt;
@@ -162,28 +162,31 @@
#&gt; Parameters:
#&gt; $SFO
#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 95.8401 1.10e-21 92.121 99.5597
-#&gt; k_parent_sink 0.0102 1.71e-12 0.009 0.0117
+#&gt; parent_0 95.8401 4.67e-21 92.245 99.4357
+#&gt; k_parent_sink 0.0102 3.92e-12 0.009 0.0117
+#&gt; sigma 4.8230 3.81e-06 3.214 6.4318
#&gt;
#&gt; $IORE
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 1.01e+02 2.37e-26 9.89e+01 1.03e+02
-#&gt; k__iore_parent_sink 1.54e-05 8.73e-02 3.48e-06 6.85e-05
-#&gt; N_parent 2.57e+00 1.14e-11 2.22e+00 2.92e+00
+#&gt; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 1.01e+02 NA 9.91e+01 1.02e+02
+#&gt; k__iore_parent_sink 1.54e-05 NA 4.08e-06 5.84e-05
+#&gt; N_parent 2.57e+00 NA 2.25e+00 2.89e+00
+#&gt; sigma 1.68e+00 NA 1.12e+00 2.24e+00
#&gt;
#&gt; $DFOP
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 9.99e+01 4.33e-27 NA NA
-#&gt; k1 2.67e-02 3.17e-05 NA NA
-#&gt; k2 2.16e-12 5.00e-01 NA NA
-#&gt; g 6.47e-01 2.13e-05 NA NA
+#&gt; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 9.99e+01 1.41e-26 98.8116 101.0810
+#&gt; k1 2.67e-02 5.05e-06 0.0243 0.0295
+#&gt; k2 3.41e-12 5.00e-01 0.0000 Inf
+#&gt; g 6.47e-01 3.67e-06 0.6248 0.6677
+#&gt; sigma 1.27e+00 8.91e-06 0.8395 1.6929
#&gt;
#&gt;
#&gt; DTx values:
#&gt; DT50 DT90 DT50_rep
#&gt; SFO 67.7 2.25e+02 6.77e+01
#&gt; IORE 58.2 1.07e+03 3.22e+02
-#&gt; DFOP 55.5 5.84e+11 3.21e+11
+#&gt; DFOP 55.5 3.70e+11 2.03e+11
#&gt;
#&gt; Representative half-life:
#&gt; [1] 321.5119</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>nafta_att_p5a</span>)</div><div class='img'><img src='NAFTA_SOP_Attachment-1.png' alt='' width='700' height='433' /></div></pre>
diff --git a/docs/reference/SFO.solution.html b/docs/reference/SFO.solution.html
index dea4527e..2eb3a9b0 100644
--- a/docs/reference/SFO.solution.html
+++ b/docs/reference/SFO.solution.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/SFORB.solution.html b/docs/reference/SFORB.solution.html
index a09f3d94..f2743fe4 100644
--- a/docs/reference/SFORB.solution.html
+++ b/docs/reference/SFORB.solution.html
@@ -67,7 +67,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/add_err-1.png b/docs/reference/add_err-1.png
index d099898c..e2107cc2 100644
--- a/docs/reference/add_err-1.png
+++ b/docs/reference/add_err-1.png
Binary files differ
diff --git a/docs/reference/add_err-2.png b/docs/reference/add_err-2.png
index f6de95a0..2fab0ee4 100644
--- a/docs/reference/add_err-2.png
+++ b/docs/reference/add_err-2.png
Binary files differ
diff --git a/docs/reference/add_err-3.png b/docs/reference/add_err-3.png
index 13f54e65..6e6592a5 100644
--- a/docs/reference/add_err-3.png
+++ b/docs/reference/add_err-3.png
Binary files differ
diff --git a/docs/reference/add_err.html b/docs/reference/add_err.html
index 8b6668f1..2eee6131 100644
--- a/docs/reference/add_err.html
+++ b/docs/reference/add_err.html
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -215,14 +215,12 @@
<span class='co'># Name the datasets for nicer plotting</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/names'>names</a></span>(<span class='no'>d_SFO_SFO_err</span>) <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/paste'>paste</a></span>(<span class='st'>"Dataset"</span>, <span class='fl'>1</span>:<span class='fl'>3</span>)
-<span class='co'># Name the model in the list of models (with only one member in this case)</span>
-<span class='co'># for nicer plotting later on.</span>
-<span class='co'># Be quiet and use the faster Levenberg-Marquardt algorithm, as the datasets</span>
-<span class='co'># are easy and examples are run often. Use only one core not to offend CRAN</span>
+<span class='co'># Name the model in the list of models (with only one member in this case) for</span>
+<span class='co'># nicer plotting later on. Be quiet and use only one core not to offend CRAN</span>
<span class='co'># checks</span>
<span class='no'>f_SFO_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mmkin.html'>mmkin</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='st'>"SFO-SFO"</span> <span class='kw'>=</span> <span class='no'>m_SFO_SFO</span>),
<span class='no'>d_SFO_SFO_err</span>, <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>,
- <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>method.modFit</span> <span class='kw'>=</span> <span class='st'>"Marq"</span>)
+ <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>f_SFO_SFO</span>)</div><div class='img'><img src='add_err-1.png' alt='' width='700' height='433' /></div><div class='input'>
<span class='co'># We would like to inspect the fit for dataset 3 more closely</span>
diff --git a/docs/reference/endpoints.html b/docs/reference/endpoints.html
index 4d777ce2..5f419781 100644
--- a/docs/reference/endpoints.html
+++ b/docs/reference/endpoints.html
@@ -66,7 +66,7 @@ with the advantage that the SFORB model can also be used for metabolites." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/geometric_mean.html b/docs/reference/geometric_mean.html
index f8beb987..908aa8cc 100644
--- a/docs/reference/geometric_mean.html
+++ b/docs/reference/geometric_mean.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/ilr.html b/docs/reference/ilr.html
index 02c96b92..0a18d535 100644
--- a/docs/reference/ilr.html
+++ b/docs/reference/ilr.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/index.html b/docs/reference/index.html
index e1f149e2..42028d60 100644
--- a/docs/reference/index.html
+++ b/docs/reference/index.html
@@ -60,7 +60,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/logLik.mkinfit.html b/docs/reference/logLik.mkinfit.html
index fc4193cb..0184d573 100644
--- a/docs/reference/logLik.mkinfit.html
+++ b/docs/reference/logLik.mkinfit.html
@@ -33,23 +33,12 @@
<meta property="og:title" content="Calculated the log-likelihood of a fitted mkinfit object — logLik.mkinfit" />
<meta property="og:description" content="This function simply calculates the product of the likelihood densities
- calculated using dnorm, i.e. assuming normal distribution.
+ calculated using dnorm, i.e. assuming normal distribution,
+ with of the mean predicted by the degradation model, and the
+ standard deviation predicted by the error model.
The total number of estimated parameters returned with the value
of the likelihood is calculated as the sum of fitted degradation
- model parameters and the fitted error model parameters.
-For the case of unweighted least squares fitting, we calculate one
- constant standard deviation from the residuals using sd
- and add one to the number of fitted degradation model parameters.
-For the case of manual weighting, we use the weight given for each
- observation as standard deviation in calculating its likelihood
- and the total number of estimated parameters is equal to the
- number of fitted degradation model parameters.
-In the case of iterative reweighting, the variances obtained by this
- procedure are used in the likelihood calculations, and the number of
- estimated parameters is obtained by the number of degradation model
- parameters plus the number of variance model parameters, i.e. the number of
- observed variables if the reweighting method is &quot;obs&quot;, and two if the
- reweighting method is &quot;tc&quot;." />
+ model parameters and the fitted error model parameters." />
<meta name="twitter:card" content="summary" />
@@ -80,7 +69,7 @@ In the case of iterative reweighting, the variances obtained by this
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -146,23 +135,12 @@ In the case of iterative reweighting, the variances obtained by this
<div class="ref-description">
<p>This function simply calculates the product of the likelihood densities
- calculated using <code><a href='https://www.rdocumentation.org/packages/stats/topics/Normal'>dnorm</a></code>, i.e. assuming normal distribution.</p>
+ calculated using <code><a href='https://www.rdocumentation.org/packages/stats/topics/Normal'>dnorm</a></code>, i.e. assuming normal distribution,
+ with of the mean predicted by the degradation model, and the
+ standard deviation predicted by the error model.</p>
<p>The total number of estimated parameters returned with the value
of the likelihood is calculated as the sum of fitted degradation
model parameters and the fitted error model parameters.</p>
-<p>For the case of unweighted least squares fitting, we calculate one
- constant standard deviation from the residuals using <code><a href='https://www.rdocumentation.org/packages/stats/topics/sd'>sd</a></code>
- and add one to the number of fitted degradation model parameters.</p>
-<p>For the case of manual weighting, we use the weight given for each
- observation as standard deviation in calculating its likelihood
- and the total number of estimated parameters is equal to the
- number of fitted degradation model parameters.</p>
-<p>In the case of iterative reweighting, the variances obtained by this
- procedure are used in the likelihood calculations, and the number of
- estimated parameters is obtained by the number of degradation model
- parameters plus the number of variance model parameters, i.e. the number of
- observed variables if the reweighting method is "obs", and two if the
- reweighting method is "tc".</p>
</div>
@@ -199,17 +177,10 @@ In the case of iterative reweighting, the variances obtained by this
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>)
)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> <span class='no'>d_t</span> <span class='kw'>&lt;-</span> <span class='no'>FOCUS_2006_D</span>
- <span class='no'>d_t</span>[<span class='fl'>23</span>:<span class='fl'>24</span>, <span class='st'>"value"</span>] <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='fl'>NA</span>, <span class='fl'>NA</span>) <span class='co'># can't cope with zero values at the moment</span>
- <span class='no'>f_nw</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) <span class='co'># no weighting (weights are unity)</span>
- <span class='no'>f_obs</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>reweight.method</span> <span class='kw'>=</span> <span class='st'>"obs"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='no'>f_tc</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>reweight.method</span> <span class='kw'>=</span> <span class='st'>"tc"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='no'>d_t</span>$<span class='no'>err</span> <span class='kw'>&lt;-</span> <span class='no'>d_t</span>$<span class='no'>value</span> <span class='co'># Manual weighting assuming sigma ~ y</span>
- <span class='no'>f_man</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>err</span> <span class='kw'>=</span> <span class='st'>"err"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f_nw</span>, <span class='no'>f_obs</span>, <span class='no'>f_tc</span>, <span class='no'>f_man</span>)</div><div class='output co'>#&gt; df AIC
-#&gt; f_nw 5 204.4619
+ <span class='no'>f_nw</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>) <span class='co'># no weighting (weights are unity)</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='no'>f_obs</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>error_model</span> <span class='kw'>=</span> <span class='st'>"obs"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='no'>f_tc</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>sfo_sfo</span>, <span class='no'>d_t</span>, <span class='kw'>error_model</span> <span class='kw'>=</span> <span class='st'>"tc"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></span>(<span class='no'>f_nw</span>, <span class='no'>f_obs</span>, <span class='no'>f_tc</span>)</div><div class='output co'>#&gt; df AIC
+#&gt; f_nw 5 204.4486
#&gt; f_obs 6 205.8727
-#&gt; f_tc 6 143.8773
-#&gt; f_man 4 291.8000</div><div class='input'> </div></pre>
+#&gt; f_tc 6 141.9656</div><div class='input'> </div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/logistic.solution.html b/docs/reference/logistic.solution.html
index 9687d7d3..4ce03e83 100644
--- a/docs/reference/logistic.solution.html
+++ b/docs/reference/logistic.solution.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -205,17 +205,19 @@
<span class='kw'>n</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>reps</span> <span class='kw'>=</span> <span class='fl'>2</span>, <span class='kw'>digits</span> <span class='kw'>=</span> <span class='fl'>5</span>, <span class='kw'>LOD</span> <span class='kw'>=</span> <span class='fl'>0.1</span>, <span class='kw'>seed</span> <span class='kw'>=</span> <span class='fl'>123456</span>)<span class='kw'>[[</span><span class='fl'>1</span>]]
<span class='no'>m</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"logistic"</span>, <span class='no'>d_2_1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>m</span>)</div><div class='img'><img src='logistic.solution-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>m</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
-#&gt; parent_0 1.057896e+02 2.3743105248 44.5559374 6.656664e-16 1.006602e+02
-#&gt; kmax 6.398190e-02 0.0193490291 3.3067243 2.836921e-03 3.329058e-02
-#&gt; k0 1.612775e-04 0.0009640761 0.1672871 4.348592e-01 3.972250e-10
-#&gt; r 2.263946e-01 0.2822811886 0.8020181 2.184792e-01 1.531165e-02
+ <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>m</span>)</div><div class='img'><img src='logistic.solution-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>m</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
+#&gt; parent_0 1.057896e+02 1.9023449643 55.610120 3.768361e-16 1.016451e+02
+#&gt; kmax 6.398190e-02 0.0143201029 4.467978 3.841828e-04 3.929235e-02
+#&gt; k0 1.612775e-04 0.0005866813 0.274898 3.940351e-01 5.846687e-08
+#&gt; r 2.263946e-01 0.1718110718 1.317695 1.061044e-01 4.335843e-02
+#&gt; sigma 5.332935e+00 0.9145907310 5.830952 4.036926e-05 3.340213e+00
#&gt; Upper
-#&gt; parent_0 110.9190170
-#&gt; kmax 0.1229682
-#&gt; k0 65.4803698
-#&gt; r 3.3474197</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>m</span>)$<span class='no'>distimes</span></div><div class='output co'>#&gt; DT50 DT90 DT50_k0 DT50_kmax
-#&gt; parent 36.86533 62.41511 4297.854 10.83349</div></pre>
+#&gt; parent_0 109.9341588
+#&gt; kmax 0.1041853
+#&gt; k0 0.4448749
+#&gt; r 1.1821121
+#&gt; sigma 7.3256566</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>m</span>)$<span class='no'>distimes</span></div><div class='output co'>#&gt; DT50 DT90 DT50_k0 DT50_kmax
+#&gt; parent 36.86533 62.41511 4297.853 10.83349</div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/max_twa_parent.html b/docs/reference/max_twa_parent.html
index f62ed5d5..33c5ee4f 100644
--- a/docs/reference/max_twa_parent.html
+++ b/docs/reference/max_twa_parent.html
@@ -67,7 +67,7 @@ guidance." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/mccall81_245T-1.png b/docs/reference/mccall81_245T-1.png
new file mode 100644
index 00000000..859f315a
--- /dev/null
+++ b/docs/reference/mccall81_245T-1.png
Binary files differ
diff --git a/docs/reference/mccall81_245T.html b/docs/reference/mccall81_245T.html
index 47fa6482..a336a840 100644
--- a/docs/reference/mccall81_245T.html
+++ b/docs/reference/mccall81_245T.html
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -141,10 +141,10 @@
<h2 class="hasAnchor" id="format"><a class="anchor" href="#format"></a>Format</h2>
<p>A dataframe containing the following variables.</p><dl class='dl-horizontal'>
- <dt><code>name</code></dt><dd><p>the name of the compound observed. Note that T245 is used as
+ <dt><code>name</code></dt><dd><p>the name of the compound observed. Note that T245 is used as
an acronym for 2,4,5-T. T245 is a legitimate object name
in R, which is necessary for specifying models using
- <code><a href='mkinmod.html'>mkinmod</a></code>.</p></dd>
+ <code><a href='mkinmod.html'>mkinmod</a></code>.</p></dd>
<dt><code>time</code></dt><dd><p>a numeric vector containing sampling times in days after
treatment</p></dd>
<dt><code>value</code></dt><dd><p>a numeric vector containing concentrations in percent of applied radioactivity</p></dd>
@@ -160,23 +160,24 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'> <span class='no'>SFO_SFO_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>T245</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"phenol"</span>),
<span class='kw'>phenol</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"anisole"</span>),
- <span class='kw'>anisole</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> </div><div class='input'> <span class='no'>fit.1</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO_SFO</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>), <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.1</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not estimate covariance matrix; singular system.</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
-#&gt; T245_0 1.038550e+02 2.4256088519 4.281607e+01 7.235908e-20 NA
-#&gt; k_T245_sink 1.636106e-02 0.0183803090 8.901408e-01 1.925667e-01 NA
-#&gt; k_T245_phenol 2.700936e-02 0.0179604385 1.503825e+00 7.498498e-02 NA
-#&gt; k_phenol_sink 1.286034e-11 0.2810970202 4.575054e-11 5.000000e-01 NA
-#&gt; k_phenol_anisole 4.050581e-01 0.1608928349 2.517564e+00 1.075371e-02 NA
-#&gt; k_anisole_sink 6.678742e-03 0.0008199239 8.145563e+00 9.469402e-08 NA
-#&gt; Upper
-#&gt; T245_0 NA
-#&gt; k_T245_sink NA
-#&gt; k_T245_phenol NA
-#&gt; k_phenol_sink NA
-#&gt; k_phenol_anisole NA
-#&gt; k_anisole_sink NA</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.1</span>)</div><div class='output co'>#&gt; $ff
+ <span class='kw'>anisole</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> </div><div class='input'> <span class='no'>fit.1</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO_SFO</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>), <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.1</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: NaNs wurden erzeugt</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
+#&gt; T245_0 1.038550e+02 2.1508106806 48.286460 3.542223e-18 99.246062186
+#&gt; k_T245_sink 1.636106e-02 NaN NaN NaN 0.012661557
+#&gt; k_T245_phenol 2.700936e-02 NaN NaN NaN 0.024487315
+#&gt; k_phenol_sink 1.054519e-10 NaN NaN NaN 0.000000000
+#&gt; k_phenol_anisole 4.050581e-01 0.1053797258 3.843795 7.969973e-04 0.218013983
+#&gt; k_anisole_sink 6.678742e-03 0.0006205825 10.762053 9.427693e-09 0.005370739
+#&gt; sigma 2.514628e+00 0.3383657682 7.431685 1.054052e-06 1.706607296
+#&gt; Upper
+#&gt; T245_0 1.084640e+02
+#&gt; k_T245_sink 2.114150e-02
+#&gt; k_T245_phenol 2.979116e-02
+#&gt; k_phenol_sink Inf
+#&gt; k_phenol_anisole 7.525759e-01
+#&gt; k_anisole_sink 8.305299e-03
+#&gt; sigma 3.322649e+00</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.1</span>)</div><div class='output co'>#&gt; $ff
#&gt; T245_sink T245_phenol phenol_sink phenol_anisole anisole_sink
-#&gt; 3.772401e-01 6.227599e-01 3.174937e-11 1.000000e+00 1.000000e+00
+#&gt; 3.772401e-01 6.227599e-01 2.603376e-10 1.000000e+00 1.000000e+00
#&gt;
#&gt; $SFORB
#&gt; logical(0)
@@ -185,26 +186,26 @@
#&gt; DT50 DT90
#&gt; T245 15.982025 53.09114
#&gt; phenol 1.711229 5.68458
-#&gt; anisole 103.784093 344.76330
-#&gt; </div><div class='input'> <span class='co'># No convergence, no covariance matrix ...</span>
- <span class='co'># k_phenol_sink is really small, therefore fix it to zero</span>
+#&gt; anisole 103.784092 344.76329
+#&gt; </div><div class='input'> <span class='co'># k_phenol_sink is really small, therefore fix it to zero</span>
<span class='no'>fit.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO_SFO</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>),
<span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>k_phenol_sink</span> <span class='kw'>=</span> <span class='fl'>0</span>),
- <span class='kw'>fixed_parms</span> <span class='kw'>=</span> <span class='st'>"k_phenol_sink"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
-#&gt; T245_0 1.038550e+02 2.3517950656 44.159900 6.461715e-21 98.932670927
-#&gt; k_T245_sink 1.636106e-02 0.0021685502 7.544701 1.978480e-07 0.012397413
-#&gt; k_T245_phenol 2.700936e-02 0.0013511301 19.990199 1.606634e-14 0.024324422
-#&gt; k_phenol_anisole 4.050581e-01 0.1238660786 3.270129 2.013627e-03 0.213574853
-#&gt; k_anisole_sink 6.678742e-03 0.0007468908 8.942059 1.543812e-08 0.005284957
+ <span class='kw'>fixed_parms</span> <span class='kw'>=</span> <span class='st'>"k_phenol_sink"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
+#&gt; T245_0 1.038550e+02 2.1623652988 48.028441 4.993105e-19 99.271024566
+#&gt; k_T245_sink 1.636106e-02 0.0019676253 8.315129 1.673677e-07 0.012679144
+#&gt; k_T245_phenol 2.700936e-02 0.0012421965 21.743225 1.314080e-13 0.024500318
+#&gt; k_phenol_anisole 4.050581e-01 0.1177235385 3.440757 1.679236e-03 0.218746681
+#&gt; k_anisole_sink 6.678743e-03 0.0006829745 9.778904 1.872891e-08 0.005377084
+#&gt; sigma 2.514628e+00 0.3790944250 6.633250 2.875782e-06 1.710983655
#&gt; Upper
-#&gt; T245_0 1.087774e+02
-#&gt; k_T245_sink 2.159195e-02
-#&gt; k_T245_phenol 2.999066e-02
-#&gt; k_phenol_anisole 7.682180e-01
-#&gt; k_anisole_sink 8.440105e-03</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.1</span>)</div><div class='output co'>#&gt; $ff
+#&gt; T245_0 1.084390e+02
+#&gt; k_T245_sink 2.111217e-02
+#&gt; k_T245_phenol 2.977534e-02
+#&gt; k_phenol_anisole 7.500550e-01
+#&gt; k_anisole_sink 8.295501e-03
+#&gt; sigma 3.318272e+00</div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.1</span>)</div><div class='output co'>#&gt; $ff
#&gt; T245_sink T245_phenol phenol_sink phenol_anisole anisole_sink
-#&gt; 3.772401e-01 6.227599e-01 3.174937e-11 1.000000e+00 1.000000e+00
+#&gt; 3.772401e-01 6.227599e-01 2.603376e-10 1.000000e+00 1.000000e+00
#&gt;
#&gt; $SFORB
#&gt; logical(0)
@@ -213,8 +214,8 @@
#&gt; DT50 DT90
#&gt; T245 15.982025 53.09114
#&gt; phenol 1.711229 5.68458
-#&gt; anisole 103.784093 344.76330
-#&gt; </div><div class='input'> </div></pre>
+#&gt; anisole 103.784092 344.76329
+#&gt; </div><div class='input'> <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>fit.2</span>)</div><div class='img'><img src='mccall81_245T-1.png' alt='' width='700' height='433' /></div><div class='input'> </div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/mkin_long_to_wide.html b/docs/reference/mkin_long_to_wide.html
index ee781c11..7d0ad2fc 100644
--- a/docs/reference/mkin_long_to_wide.html
+++ b/docs/reference/mkin_long_to_wide.html
@@ -32,9 +32,9 @@
<meta property="og:title" content="Convert a dataframe from long to wide format — mkin_long_to_wide" />
-<meta property="og:description" content="This function takes a dataframe in the long form as required by modCost
- and converts it into a dataframe with one independent variable and several
- dependent variables as columns." />
+<meta property="og:description" content="This function takes a dataframe in the long form, i.e. with a row
+ for each observed value, and converts it into a dataframe with one
+ independent variable and several dependent variables as columns." />
<meta name="twitter:card" content="summary" />
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -130,9 +130,9 @@
<div class="ref-description">
- <p>This function takes a dataframe in the long form as required by <code>modCost</code>
- and converts it into a dataframe with one independent variable and several
- dependent variables as columns.</p>
+ <p>This function takes a dataframe in the long form, i.e. with a row
+ for each observed value, and converts it into a dataframe with one
+ independent variable and several dependent variables as columns.</p>
</div>
diff --git a/docs/reference/mkin_wide_to_long.html b/docs/reference/mkin_wide_to_long.html
index f2b9bef7..4fc0e2ed 100644
--- a/docs/reference/mkin_wide_to_long.html
+++ b/docs/reference/mkin_wide_to_long.html
@@ -33,7 +33,7 @@
<meta property="og:title" content="Convert a dataframe with observations over time into long format — mkin_wide_to_long" />
<meta property="og:description" content="This function simply takes a dataframe with one independent variable and several
- dependent variable and converts it into the long form as required by modCost." />
+ dependent variable and converts it into the long form as required by mkinfit." />
<meta name="twitter:card" content="summary" />
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -130,7 +130,7 @@
<div class="ref-description">
<p>This function simply takes a dataframe with one independent variable and several
- dependent variable and converts it into the long form as required by <code>modCost</code>.</p>
+ dependent variable and converts it into the long form as required by <code><a href='mkinfit.html'>mkinfit</a></code>.</p>
</div>
@@ -152,7 +152,7 @@
<h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
- <p>Dataframe in long format as needed for <code>modCost</code>.</p>
+ <p>Dataframe in long format as needed for <code><a href='mkinfit.html'>mkinfit</a></code>.</p>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
diff --git a/docs/reference/mkinds.html b/docs/reference/mkinds.html
index 3be872e8..2c01be70 100644
--- a/docs/reference/mkinds.html
+++ b/docs/reference/mkinds.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/mkinerrmin.html b/docs/reference/mkinerrmin.html
index 60769486..3ebea1e4 100644
--- a/docs/reference/mkinerrmin.html
+++ b/docs/reference/mkinerrmin.html
@@ -64,7 +64,7 @@ chi-squared test as defined in the FOCUS kinetics report from 2006." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -179,8 +179,7 @@ chi-squared test as defined in the FOCUS kinetics report from 2006.</p>
<pre class="examples"><div class='input'><span class='no'>SFO_SFO</span> <span class='kw'>=</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>),
<span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'>
-<span class='no'>fit_FOCUS_D</span> <span class='kw'>=</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/Round'>round</a></span>(<span class='fu'>mkinerrmin</span>(<span class='no'>fit_FOCUS_D</span>), <span class='fl'>4</span>)</div><div class='output co'>#&gt; err.min n.optim df
+<span class='no'>fit_FOCUS_D</span> <span class='kw'>=</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/Round'>round</a></span>(<span class='fu'>mkinerrmin</span>(<span class='no'>fit_FOCUS_D</span>), <span class='fl'>4</span>)</div><div class='output co'>#&gt; err.min n.optim df
#&gt; All data 0.0640 4 15
#&gt; parent 0.0646 2 7
#&gt; m1 0.0469 2 8</div><div class='input'> <span class='no'>fit_FOCUS_E</span> <span class='kw'>=</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_E</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
diff --git a/docs/reference/mkinfit.html b/docs/reference/mkinfit.html
index df30ef09..d3a826b9 100644
--- a/docs/reference/mkinfit.html
+++ b/docs/reference/mkinfit.html
@@ -32,17 +32,15 @@
<meta property="og:title" content="Fit a kinetic model to data with one or more state variables — mkinfit" />
-<meta property="og:description" content="This function uses the Flexible Modelling Environment package
- FME to create a function calculating the model cost, i.e. the
- deviation between the kinetic model and the observed data. This model cost is
- then minimised using the Port algorithm nlminb,
- using the specified initial or fixed parameters and starting values.
- Per default, parameters in the kinetic models are internally transformed in order
- to better satisfy the assumption of a normal distribution of their estimators.
- In each step of the optimsation, the kinetic model is solved using the
- function mkinpredict. The variance of the residuals for each
- observed variable can optionally be iteratively reweighted until convergence
- using the argument reweight.method = &quot;obs&quot;." />
+<meta property="og:description" content="This function maximises the likelihood of the observed data using
+ the Port algorithm nlminb, and the specified initial or fixed
+ parameters and starting values. In each step of the optimsation, the kinetic
+ model is solved using the function mkinpredict. The parameters
+ of the selected error model are fitted simultaneously with the degradation
+ model parameters, as both of them are arguments of the likelihood function.
+Per default, parameters in the kinetic models are internally transformed in
+ order to better satisfy the assumption of a normal distribution of their
+ estimators." />
<meta name="twitter:card" content="summary" />
@@ -73,7 +71,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -138,17 +136,15 @@
<div class="ref-description">
- <p>This function uses the Flexible Modelling Environment package
- <code>FME</code> to create a function calculating the model cost, i.e. the
- deviation between the kinetic model and the observed data. This model cost is
- then minimised using the Port algorithm <code><a href='https://www.rdocumentation.org/packages/stats/topics/nlminb'>nlminb</a></code>,
- using the specified initial or fixed parameters and starting values.
- Per default, parameters in the kinetic models are internally transformed in order
- to better satisfy the assumption of a normal distribution of their estimators.
- In each step of the optimsation, the kinetic model is solved using the
- function <code><a href='mkinpredict.html'>mkinpredict</a></code>. The variance of the residuals for each
- observed variable can optionally be iteratively reweighted until convergence
- using the argument <code>reweight.method = "obs"</code>.</p>
+ <p>This function maximises the likelihood of the observed data using
+ the Port algorithm <code><a href='https://www.rdocumentation.org/packages/stats/topics/nlminb'>nlminb</a></code>, and the specified initial or fixed
+ parameters and starting values. In each step of the optimsation, the kinetic
+ model is solved using the function <code><a href='mkinpredict.html'>mkinpredict</a></code>. The parameters
+ of the selected error model are fitted simultaneously with the degradation
+ model parameters, as both of them are arguments of the likelihood function.</p>
+<p>Per default, parameters in the kinetic models are internally transformed in
+ order to better satisfy the assumption of a normal distribution of their
+ estimators.</p>
</div>
@@ -160,18 +156,12 @@
<span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"auto"</span>, <span class='st'>"analytical"</span>, <span class='st'>"eigen"</span>, <span class='st'>"deSolve"</span>),
<span class='kw'>method.ode</span> <span class='kw'>=</span> <span class='st'>"lsoda"</span>,
<span class='kw'>use_compiled</span> <span class='kw'>=</span> <span class='st'>"auto"</span>,
- <span class='kw'>method.modFit</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"Port"</span>, <span class='st'>"Marq"</span>, <span class='st'>"SANN"</span>, <span class='st'>"Nelder-Mead"</span>, <span class='st'>"BFGS"</span>, <span class='st'>"CG"</span>, <span class='st'>"L-BFGS-B"</span>),
- <span class='kw'>maxit.modFit</span> <span class='kw'>=</span> <span class='st'>"auto"</span>,
- <span class='kw'>control.modFit</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(),
+ <span class='kw'>control</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>eval.max</span> <span class='kw'>=</span> <span class='fl'>300</span>, <span class='kw'>iter.max</span> <span class='kw'>=</span> <span class='fl'>200</span>),
<span class='kw'>transform_rates</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
<span class='kw'>transform_fractions</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
- <span class='kw'>plot</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>err</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
- <span class='kw'>weight</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"none"</span>, <span class='st'>"manual"</span>, <span class='st'>"std"</span>, <span class='st'>"mean"</span>, <span class='st'>"tc"</span>),
- <span class='kw'>tc</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>sigma_low</span> <span class='kw'>=</span> <span class='fl'>0.5</span>, <span class='kw'>rsd_high</span> <span class='kw'>=</span> <span class='fl'>0.07</span>),
- <span class='kw'>scaleVar</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>,
+ <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>,
<span class='kw'>atol</span> <span class='kw'>=</span> <span class='fl'>1e-8</span>, <span class='kw'>rtol</span> <span class='kw'>=</span> <span class='fl'>1e-10</span>, <span class='kw'>n.outtimes</span> <span class='kw'>=</span> <span class='fl'>100</span>,
- <span class='kw'>reweight.method</span> <span class='kw'>=</span> <span class='kw'>NULL</span>,
- <span class='kw'>reweight.tol</span> <span class='kw'>=</span> <span class='fl'>1e-8</span>, <span class='kw'>reweight.max.iter</span> <span class='kw'>=</span> <span class='fl'>10</span>,
+ <span class='kw'>error_model</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"const"</span>, <span class='st'>"obs"</span>, <span class='st'>"tc"</span>),
<span class='kw'>trace_parms</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='no'>...</span>)</pre>
<h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
@@ -181,20 +171,20 @@
<th>mkinmod</th>
<td><p>A list of class <code><a href='mkinmod.html'>mkinmod</a></code>, containing the kinetic model to be
fitted to the data, or one of the shorthand names ("SFO", "FOMC", "DFOP",
- "HS", "SFORB"). If a shorthand name is given, a parent only degradation
+ "HS", "SFORB", "IORE"). If a shorthand name is given, a parent only degradation
model is generated for the variable with the highest value in
<code>observed</code>.</p></td>
</tr>
<tr>
<th>observed</th>
- <td><p>The observed data. It has to be in the long format as described in
- <code>modFit</code>, i.e. the first column called "name" must contain the
- name of the observed variable for each data point. The second column must
- contain the times of observation, named "time". The third column must be
- named "value" and contain the observed values. Optionally, a further column
- can contain weights for each data point. Its name must be passed as a
- further argument named <code>err</code> which is then passed on to
- <code>modFit</code>.</p></td>
+ <td><p>A dataframe with the observed data. The first column called "name" must
+ contain the name of the observed variable for each data point. The second
+ column must contain the times of observation, named "time". The third
+ column must be named "value" and contain the observed values. Zero values
+ in the "value" column will be removed, with a warning, in order to
+ avoid problems with fitting the two-component error model. This is not
+ expected to be a problem, because in general, values of zero are not
+ observed in degradation data, because there is a lower limit of detection.</p></td>
</tr>
<tr>
<th>parms.ini</th>
@@ -247,10 +237,10 @@
solution of the model is used. This is only implemented for simple
degradation experiments with only one state variable, i.e. with no
metabolites. The default is "auto", which uses "analytical" if possible,
- otherwise "eigen" if the model can be expressed using eigenvalues and
- eigenvectors, and finally "deSolve" for the remaining models (time
- dependence of degradation rates and metabolites). This argument is passed
- on to the helper function <code><a href='mkinpredict.html'>mkinpredict</a></code>.</p></td>
+ otherwise "deSolve" if a compiler is present, and "eigen" if no
+ compiler is present and the model can be expressed using eigenvalues and
+ eigenvectors. This argument is passed on to the helper function
+ <code><a href='mkinpredict.html'>mkinpredict</a></code>.</p></td>
</tr>
<tr>
<th>method.ode</th>
@@ -261,36 +251,12 @@
<tr>
<th>use_compiled</th>
<td><p>If set to <code>FALSE</code>, no compiled version of the <code><a href='mkinmod.html'>mkinmod</a></code>
- model is used, in the calls to <code><a href='mkinpredict.html'>mkinpredict</a></code> even if
- a compiled verion is present.</p></td>
+ model is used in the calls to <code><a href='mkinpredict.html'>mkinpredict</a></code> even if a compiled
+ version is present.</p></td>
</tr>
<tr>
- <th>method.modFit</th>
- <td><p>The optimisation method passed to <code>modFit</code>.</p>
-<p>In order to optimally deal with problems where local minima occur, the
- "Port" algorithm is now used per default as it is less prone to get trapped
- in local minima and depends less on starting values for parameters than
- the Levenberg Marquardt variant selected by "Marq". However, "Port" needs
- more iterations.</p>
-<p>The former default "Marq" is the Levenberg Marquardt algorithm
- <code>nls.lm</code> from the package <code>minpack.lm</code> and usually needs
- the least number of iterations.</p>
-<p>The "Pseudo" algorithm is not included because it needs finite parameter bounds
- which are currently not supported.</p>
-<p>The "Newton" algorithm is not included because its number of iterations
- can not be controlled by <code>control.modFit</code> and it does not appear
- to provide advantages over the other algorithms.</p></td>
- </tr>
- <tr>
- <th>maxit.modFit</th>
- <td><p>Maximum number of iterations in the optimisation. If not "auto", this will
- be passed to the method called by <code>modFit</code>, overriding
- what may be specified in the next argument <code>control.modFit</code>.</p></td>
- </tr>
- <tr>
- <th>control.modFit</th>
- <td><p>Additional arguments passed to the optimisation method used by
- <code>modFit</code>.</p></td>
+ <th>control</th>
+ <td><p>A list of control arguments passed to <code><a href='https://www.rdocumentation.org/packages/stats/topics/nlminb'>nlminb</a></code>.</p></td>
</tr>
<tr>
<th>transform_rates</th>
@@ -299,8 +265,8 @@
assumption of normal distribution of the estimator. If TRUE, also
alpha and beta parameters of the FOMC model are log-transformed, as well
as k1 and k2 rate constants for the DFOP and HS models and the break point
- tb of the HS model.
- If FALSE, zero is used as a lower bound for the rates in the optimisation.</p></td>
+ tb of the HS model. If FALSE, zero is used as a lower bound for the rates
+ in the optimisation.</p></td>
</tr>
<tr>
<th>transform_fractions</th>
@@ -313,36 +279,9 @@
<code><a href='ilr.html'>ilr</a></code> transformation.</p></td>
</tr>
<tr>
- <th>plot</th>
- <td><p>Should the observed values and the numerical solutions be plotted at each
- stage of the optimisation?</p></td>
- </tr>
- <tr>
<th>quiet</th>
- <td><p>Suppress printing out the current model cost after each improvement?</p></td>
- </tr>
- <tr>
- <th>err </th>
- <td><p>either <code>NULL</code>, or the name of the column with the
- <em>error</em> estimates, used to weigh the residuals (see details of
- <code>modCost</code>); if <code>NULL</code>, then the residuals are not weighed.</p></td>
- </tr>
- <tr>
- <th>weight</th>
- <td><p>only if <code>err</code>=<code>NULL</code>: how to weight the residuals, one of "none",
- "std", "mean", see details of <code>modCost</code>, or "tc" for the
- two component error model. The option "manual" is available for
- the case that <code>err</code>!=<code>NULL</code>, but it is not necessary to specify it.</p></td>
- </tr>
- <tr>
- <th>tc</th>
- <td><p>The two components of the error model as used for (initial)
- weighting</p></td>
- </tr>
- <tr>
- <th>scaleVar</th>
- <td><p>Will be passed to <code>modCost</code>. Default is not to scale Variables
- according to the number of observations.</p></td>
+ <td><p>Suppress printing out the current value of the negative log-likelihood
+ after each improvement?</p></td>
</tr>
<tr>
<th>atol</th>
@@ -362,35 +301,17 @@
The default value is 100.</p></td>
</tr>
<tr>
- <th>reweight.method</th>
- <td><p>The method used for iteratively reweighting residuals, also known
- as iteratively reweighted least squares (IRLS). Default is NULL,
- i.e. no iterative weighting.
- The first reweighting method is called "obs", meaning that each
- observed variable is assumed to have its own variance. This variance
- is estimated from the fit (mean squared residuals) and used for weighting
- the residuals in each iteration until convergence of this estimate up to
- <code>reweight.tol</code> or up to the maximum number of iterations
- specified by <code>reweight.max.iter</code>.
- The second reweighting method is called "tc" (two-component error model).
- When using this method, the two components of an error model similar to
- the one described by
- Rocke and Lorenzato (1995) are estimated from the fit and the resulting
- variances are used for weighting the residuals in each iteration until
- convergence of these components or up to the maximum number of iterations
- specified. Note that this method deviates from the model by Rocke and
- Lorenzato, as their model implies that the errors follow a lognormal
- distribution for large values, not a normal distribution as assumed by this
- method.</p></td>
- </tr>
- <tr>
- <th>reweight.tol</th>
- <td><p>Tolerance for convergence criterion for the variance components
- in IRLS fits.</p></td>
- </tr>
- <tr>
- <th>reweight.max.iter</th>
- <td><p>Maximum iterations in IRLS fits.</p></td>
+ <th>error_model</th>
+ <td><p>If the error model is "const", a constant standard deviation
+ is assumed.</p>
+<p>If the error model is "obs", each observed variable is assumed to have its
+ own variance.</p>
+<p>If the error model is "tc" (two-component error model), a two component
+ error model similar to the one described by Rocke and Lorenzato (1995) is
+ used for setting up the likelihood function. Note that this model deviates
+ from the model by Rocke and Lorenzato, as their model implies that the
+ errors follow a lognormal distribution for large values, not a normal
+ distribution as assumed by this method.</p></td>
</tr>
<tr>
<th>trace_parms</th>
@@ -398,19 +319,18 @@
</tr>
<tr>
<th>&#8230;</th>
- <td><p>Further arguments that will be passed to <code>modFit</code>.</p></td>
+ <td><p>Further arguments that will be passed on to <code>deSolve</code>.</p></td>
</tr>
</table>
<h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
- <p>A list with "mkinfit" and "modFit" in the class attribute.
- A summary can be obtained by <code><a href='summary.mkinfit.html'>summary.mkinfit</a></code>.</p>
+ <p>A list with "mkinfit" in the class attribute. A summary can be obtained by
+ <code><a href='summary.mkinfit.html'>summary.mkinfit</a></code>.</p>
<h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
- <div class='dont-index'><p>Plotting methods <code><a href='plot.mkinfit.html'>plot.mkinfit</a></code> and
- <code><a href='mkinparplot.html'>mkinparplot</a></code>.</p>
+ <div class='dont-index'><p>Plotting methods <code><a href='plot.mkinfit.html'>plot.mkinfit</a></code> and <code><a href='mkinparplot.html'>mkinparplot</a></code>.</p>
<p>Comparisons of models fitted to the same data can be made using <code><a href='https://www.rdocumentation.org/packages/stats/topics/AIC'>AIC</a></code>
by virtue of the method <code><a href='logLik.mkinfit.html'>logLik.mkinfit</a></code>.</p>
<p>Fitting of several models to several datasets in a single call to
@@ -418,13 +338,6 @@
<h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2>
- <p>The implementation of iteratively reweighted least squares is inspired by the
- work of the KinGUII team at Bayer Crop Science (Walter Schmitt and Zhenglei
- Gao). A similar implemention can also be found in CAKE 2.0, which is the
- other GUI derivative of mkin, sponsored by Syngenta.</p>
-
- <h2 class="hasAnchor" id="note"><a class="anchor" href="#note"></a>Note</h2>
-
<p>When using the "IORE" submodel for metabolites, fitting with
"transform_rates = TRUE" (the default) often leads to failures of the
numerical ODE solver. In this situation it may help to switch off the
@@ -439,57 +352,61 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'><span class='co'># Use shorthand notation for parent only degradation</span>
<span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='st'>"FOMC"</span>, <span class='no'>FOCUS_2006_C</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:12 2019
-#&gt; Date of summary: Mon Mar 4 14:05:12 2019
+<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
+#&gt; R version used for fitting: 3.5.3
+#&gt; Date of fit: Wed Apr 10 10:10:01 2019
+#&gt; Date of summary: Wed Apr 10 10:10:01 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
#&gt;
#&gt; Model predictions using solution type analytical
#&gt;
-#&gt; Fitted with method Port using 64 model solutions performed in 0.159 s
+#&gt; Fitted with method using 221 model solutions performed in 0.508 s
#&gt;
-#&gt; Weighting: none
+#&gt; Error model:
+#&gt; NULL
#&gt;
#&gt; Starting values for parameters to be optimised:
-#&gt; value type
-#&gt; parent_0 85.1 state
-#&gt; alpha 1.0 deparm
-#&gt; beta 10.0 deparm
+#&gt; value type
+#&gt; parent_0 85.100000 state
+#&gt; alpha 1.000000 deparm
+#&gt; beta 10.000000 deparm
+#&gt; sigma 1.857444 error
#&gt;
#&gt; Starting values for the transformed parameters actually optimised:
#&gt; value lower upper
#&gt; parent_0 85.100000 -Inf Inf
#&gt; log_alpha 0.000000 -Inf Inf
#&gt; log_beta 2.302585 -Inf Inf
+#&gt; sigma 1.857444 0 Inf
#&gt;
#&gt; Fixed parameter values:
#&gt; None
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 85.87000 2.2460 80.38000 91.3700
-#&gt; log_alpha 0.05192 0.1605 -0.34080 0.4446
-#&gt; log_beta 0.65100 0.2801 -0.03452 1.3360
+#&gt; parent_0 85.87000 1.8070 81.23000 90.5200
+#&gt; log_alpha 0.05192 0.1353 -0.29580 0.3996
+#&gt; log_beta 0.65100 0.2287 0.06315 1.2390
+#&gt; sigma 1.85700 0.4378 0.73200 2.9830
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_alpha log_beta
-#&gt; parent_0 1.0000 -0.2033 -0.3624
-#&gt; log_alpha -0.2033 1.0000 0.9547
-#&gt; log_beta -0.3624 0.9547 1.0000
-#&gt;
-#&gt; Residual standard error: 2.275 on 6 degrees of freedom
+#&gt; parent_0 log_alpha log_beta sigma
+#&gt; parent_0 1.000e+00 -1.565e-01 -3.142e-01 -1.313e-07
+#&gt; log_alpha -1.565e-01 1.000e+00 9.564e-01 -2.634e-07
+#&gt; log_beta -3.142e-01 9.564e-01 1.000e+00 -2.200e-07
+#&gt; sigma -1.313e-07 -2.634e-07 -2.200e-07 1.000e+00
#&gt;
#&gt; Backtransformed parameters:
#&gt; Confidence intervals for internally transformed parameters are asymmetric.
#&gt; t-test (unrealistically) based on the assumption of normal distribution
#&gt; for estimators of untransformed parameters.
#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 85.870 38.230 1.069e-08 80.3800 91.370
-#&gt; alpha 1.053 6.231 3.953e-04 0.7112 1.560
-#&gt; beta 1.917 3.570 5.895e-03 0.9661 3.806
+#&gt; parent_0 85.870 47.530 3.893e-08 81.2300 90.520
+#&gt; alpha 1.053 7.393 3.562e-04 0.7439 1.491
+#&gt; beta 1.917 4.373 3.601e-03 1.0650 3.451
+#&gt; sigma 1.857 4.243 4.074e-03 0.7320 2.983
#&gt;
#&gt; Chi2 error levels in percent:
#&gt; err.min n.optim df
@@ -517,9 +434,8 @@
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='co'># Fit the model to the FOCUS example dataset D using defaults</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span>(<span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>,
- <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"eigen"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)))</div><div class='output co'>#&gt; User System verstrichen
-#&gt; 1.013 0.000 1.014 </div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
-#&gt; 99.59848 -3.03822 -2.98030 -5.24750 </div><div class='input'><span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; $ff
+ <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"eigen"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)))</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='output co'>#&gt; User System verstrichen
+#&gt; 1.653 0.000 1.653 </div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; NULL</div><div class='input'><span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; $ff
#&gt; parent_sink parent_m1 m1_sink
#&gt; 0.485524 0.514476 1.000000
#&gt;
@@ -528,73 +444,75 @@
#&gt;
#&gt; $distimes
#&gt; DT50 DT90
-#&gt; parent 7.022929 23.32967
-#&gt; m1 131.760712 437.69961
+#&gt; parent 7.022928 23.32966
+#&gt; m1 131.760715 437.69962
#&gt; </div><div class='input'><span class='co'># deSolve is slower when no C compiler (gcc) was available during model generation</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span>(<span class='no'>fit.deSolve</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>,
- <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>)))</div><div class='output co'>#&gt; Model cost at call 1 : 18915.53
-#&gt; Model cost at call 2 : 18915.53
-#&gt; Model cost at call 6 : 11424.02
-#&gt; Model cost at call 10 : 11424
-#&gt; Model cost at call 12 : 4094.396
-#&gt; Model cost at call 16 : 4094.396
-#&gt; Model cost at call 19 : 1340.595
-#&gt; Model cost at call 20 : 1340.593
-#&gt; Model cost at call 25 : 1072.239
-#&gt; Model cost at call 28 : 1072.236
-#&gt; Model cost at call 30 : 874.2615
-#&gt; Model cost at call 33 : 874.2611
-#&gt; Model cost at call 35 : 616.2377
-#&gt; Model cost at call 37 : 616.2372
-#&gt; Model cost at call 40 : 467.4386
-#&gt; Model cost at call 42 : 467.4381
-#&gt; Model cost at call 46 : 398.2914
-#&gt; Model cost at call 48 : 398.2914
-#&gt; Model cost at call 49 : 398.2913
-#&gt; Model cost at call 51 : 395.0712
-#&gt; Model cost at call 54 : 395.0711
-#&gt; Model cost at call 56 : 378.3298
-#&gt; Model cost at call 59 : 378.3298
-#&gt; Model cost at call 62 : 376.9812
-#&gt; Model cost at call 64 : 376.9811
-#&gt; Model cost at call 67 : 375.2085
-#&gt; Model cost at call 69 : 375.2085
-#&gt; Model cost at call 70 : 375.2085
-#&gt; Model cost at call 71 : 375.2085
-#&gt; Model cost at call 72 : 374.5723
-#&gt; Model cost at call 74 : 374.5723
-#&gt; Model cost at call 77 : 374.0075
-#&gt; Model cost at call 79 : 374.0075
-#&gt; Model cost at call 80 : 374.0075
-#&gt; Model cost at call 82 : 373.1711
-#&gt; Model cost at call 84 : 373.1711
-#&gt; Model cost at call 87 : 372.6445
-#&gt; Model cost at call 88 : 372.1614
-#&gt; Model cost at call 90 : 372.1614
-#&gt; Model cost at call 91 : 372.1614
-#&gt; Model cost at call 94 : 371.6464
-#&gt; Model cost at call 99 : 371.4299
-#&gt; Model cost at call 101 : 371.4299
-#&gt; Model cost at call 104 : 371.4071
-#&gt; Model cost at call 106 : 371.4071
-#&gt; Model cost at call 107 : 371.4071
-#&gt; Model cost at call 109 : 371.2524
-#&gt; Model cost at call 113 : 371.2524
-#&gt; Model cost at call 114 : 371.2136
-#&gt; Model cost at call 115 : 371.2136
-#&gt; Model cost at call 116 : 371.2136
-#&gt; Model cost at call 119 : 371.2134
-#&gt; Model cost at call 120 : 371.2134
-#&gt; Model cost at call 122 : 371.2134
-#&gt; Model cost at call 123 : 371.2134
-#&gt; Model cost at call 125 : 371.2134
-#&gt; Model cost at call 126 : 371.2134
-#&gt; Model cost at call 135 : 371.2134
-#&gt; Model cost at call 146 : 371.2134
-#&gt; Optimisation by method Port successfully terminated.
+ <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>)))</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='output co'>#&gt; Negative log-likelihood at call 1: 18915.53
+#&gt; Negative log-likelihood at call 2: 18915.53
+#&gt; Negative log-likelihood at call 6: 11424.02
+#&gt; Negative log-likelihood at call 10: 11424
+#&gt; Negative log-likelihood at call 13: 2367.052
+#&gt; Negative log-likelihood at call 14: 2367.05
+#&gt; Negative log-likelihood at call 19: 1314.716
+#&gt; Negative log-likelihood at call 22: 1314.714
+#&gt; Negative log-likelihood at call 25: 991.8311
+#&gt; Negative log-likelihood at call 28: 991.8305
+#&gt; Negative log-likelihood at call 30: 893.6462
+#&gt; Negative log-likelihood at call 33: 893.6457
+#&gt; Negative log-likelihood at call 35: 569.4049
+#&gt; Negative log-likelihood at call 38: 569.4047
+#&gt; Negative log-likelihood at call 40: 565.0651
+#&gt; Negative log-likelihood at call 41: 565.065
+#&gt; Negative log-likelihood at call 42: 565.0637
+#&gt; Negative log-likelihood at call 45: 428.0188
+#&gt; Negative log-likelihood at call 46: 428.0185
+#&gt; Negative log-likelihood at call 50: 406.732
+#&gt; Negative log-likelihood at call 52: 406.732
+#&gt; Negative log-likelihood at call 55: 398.9115
+#&gt; Negative log-likelihood at call 57: 398.9113
+#&gt; Negative log-likelihood at call 60: 394.5943
+#&gt; Negative log-likelihood at call 62: 394.5943
+#&gt; Negative log-likelihood at call 66: 385.26
+#&gt; Negative log-likelihood at call 67: 385.2599
+#&gt; Negative log-likelihood at call 69: 385.2599
+#&gt; Negative log-likelihood at call 70: 385.2597
+#&gt; Negative log-likelihood at call 71: 374.7604
+#&gt; Negative log-likelihood at call 72: 374.7603
+#&gt; Negative log-likelihood at call 76: 373.199
+#&gt; Negative log-likelihood at call 79: 373.199
+#&gt; Negative log-likelihood at call 80: 373.199
+#&gt; Negative log-likelihood at call 81: 372.3772
+#&gt; Negative log-likelihood at call 84: 372.3772
+#&gt; Negative log-likelihood at call 86: 371.2615
+#&gt; Negative log-likelihood at call 89: 371.2615
+#&gt; Negative log-likelihood at call 90: 371.2615
+#&gt; Negative log-likelihood at call 92: 371.2439
+#&gt; Negative log-likelihood at call 93: 371.2439
+#&gt; Negative log-likelihood at call 94: 371.2439
+#&gt; Negative log-likelihood at call 97: 371.2198
+#&gt; Negative log-likelihood at call 98: 371.2198
+#&gt; Negative log-likelihood at call 102: 371.2174
+#&gt; Negative log-likelihood at call 104: 371.2174
+#&gt; Negative log-likelihood at call 107: 371.2147
+#&gt; Negative log-likelihood at call 110: 371.2147
+#&gt; Negative log-likelihood at call 111: 371.2147
+#&gt; Negative log-likelihood at call 112: 371.2145
+#&gt; Negative log-likelihood at call 113: 371.2145
+#&gt; Negative log-likelihood at call 116: 371.2145
+#&gt; Negative log-likelihood at call 119: 371.2135
+#&gt; Negative log-likelihood at call 121: 371.2135
+#&gt; Negative log-likelihood at call 124: 371.2135
+#&gt; Negative log-likelihood at call 126: 371.2135
+#&gt; Negative log-likelihood at call 127: 371.2135
+#&gt; Negative log-likelihood at call 133: 371.2134
+#&gt; Negative log-likelihood at call 135: 371.2134
+#&gt; Negative log-likelihood at call 138: 371.2134
+#&gt; Negative log-likelihood at call 142: 371.2134
+#&gt; Negative log-likelihood at call 152: 97.22429
+#&gt; Optimisation successfully terminated.
#&gt; User System verstrichen
-#&gt; 0.821 0.000 0.822 </div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit.deSolve</span>)</div><div class='output co'>#&gt; parent_0 log_k_parent_sink log_k_parent_m1 log_k_m1_sink
-#&gt; 99.59848 -3.03822 -2.98030 -5.24750 </div><div class='input'><span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.deSolve</span>)</div><div class='output co'>#&gt; $ff
+#&gt; 1.136 0.000 1.135 </div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/stats/topics/coef'>coef</a></span>(<span class='no'>fit.deSolve</span>)</div><div class='output co'>#&gt; NULL</div><div class='input'><span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit.deSolve</span>)</div><div class='output co'>#&gt; $ff
#&gt; parent_sink parent_m1 m1_sink
#&gt; 0.485524 0.514476 1.000000
#&gt;
@@ -603,36 +521,31 @@
#&gt;
#&gt; $distimes
#&gt; DT50 DT90
-#&gt; parent 7.022929 23.32967
-#&gt; m1 131.760711 437.69961
+#&gt; parent 7.022928 23.32966
+#&gt; m1 131.760710 437.69961
#&gt; </div><div class='input'>
# Use stepwise fitting, using optimised parameters from parent only fit, FOMC
</div><div class='input'><span class='no'>FOMC_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"FOMC"</span>, <span class='st'>"m1"</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='co'># Fit the model to the FOCUS example dataset D using defaults</span>
-<span class='no'>fit.FOMC_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>FOMC_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='co'># Use starting parameters from parent only FOMC fit</span>
+<span class='no'>fit.FOMC_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>FOMC_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='co'># Use starting parameters from parent only FOMC fit</span>
<span class='no'>fit.FOMC</span> <span class='kw'>=</span> <span class='fu'>mkinfit</span>(<span class='st'>"FOMC"</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
<span class='no'>fit.FOMC_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>FOMC_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
- <span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='no'>fit.FOMC</span>$<span class='no'>bparms.ode</span>)
-
+ <span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='no'>fit.FOMC</span>$<span class='no'>bparms.ode</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'>
<span class='co'># Use stepwise fitting, using optimised parameters from parent only fit, SFORB</span>
<span class='no'>SFORB_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFORB"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>, <span class='kw'>sink</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='co'># Fit the model to the FOCUS example dataset D using defaults</span>
-<span class='no'>fit.SFORB_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='no'>fit.SFORB_SFO.deSolve</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>,
- <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='co'># Use starting parameters from parent only SFORB fit (not really needed in this case)</span>
+<span class='no'>fit.SFORB_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.SFORB_SFO.deSolve</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>,
+ <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='co'># Use starting parameters from parent only SFORB fit (not really needed in this case)</span>
<span class='no'>fit.SFORB</span> <span class='kw'>=</span> <span class='fu'>mkinfit</span>(<span class='st'>"SFORB"</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='no'>fit.SFORB_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='no'>fit.SFORB</span>$<span class='no'>bparms.ode</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='input'>
+<span class='no'>fit.SFORB_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='no'>fit.SFORB</span>$<span class='no'>bparms.ode</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'>
</div><div class='input'><span class='co'># Weighted fits, including IRLS</span>
<span class='no'>SFO_SFO.ff</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>),
- <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>f.noweight</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.noweight</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:24 2019
-#&gt; Date of summary: Mon Mar 4 14:05:24 2019
+ <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>f.noweight</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.noweight</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
+#&gt; R version used for fitting: 3.5.3
+#&gt; Date of fit: Wed Apr 10 10:10:17 2019
+#&gt; Date of summary: Wed Apr 10 10:10:17 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent * parent
@@ -640,16 +553,18 @@
#&gt;
#&gt; Model predictions using solution type deSolve
#&gt;
-#&gt; Fitted with method Port using 186 model solutions performed in 0.841 s
+#&gt; Fitted with method using 404 model solutions performed in 1.105 s
#&gt;
-#&gt; Weighting: none
+#&gt; Error model:
+#&gt; NULL
#&gt;
#&gt; Starting values for parameters to be optimised:
-#&gt; value type
-#&gt; parent_0 100.7500 state
-#&gt; k_parent 0.1000 deparm
-#&gt; k_m1 0.1001 deparm
-#&gt; f_parent_to_m1 0.5000 deparm
+#&gt; value type
+#&gt; parent_0 100.750000 state
+#&gt; k_parent 0.100000 deparm
+#&gt; k_m1 0.100100 deparm
+#&gt; f_parent_to_m1 0.500000 deparm
+#&gt; sigma 3.125504 error
#&gt;
#&gt; Starting values for the transformed parameters actually optimised:
#&gt; value lower upper
@@ -657,36 +572,38 @@
#&gt; log_k_parent -2.302585 -Inf Inf
#&gt; log_k_m1 -2.301586 -Inf Inf
#&gt; f_parent_ilr_1 0.000000 -Inf Inf
+#&gt; sigma 3.125504 0 Inf
#&gt;
#&gt; Fixed parameter values:
#&gt; value type
#&gt; m1_0 0 state
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.60000 1.61400 96.3300 102.9000
-#&gt; log_k_parent -2.31600 0.04187 -2.4010 -2.2310
-#&gt; log_k_m1 -5.24800 0.13610 -5.5230 -4.9720
-#&gt; f_parent_ilr_1 0.04096 0.06477 -0.0904 0.1723
+#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 99.60000 1.57000 96.40000 102.8000
+#&gt; log_k_parent -2.31600 0.04087 -2.39900 -2.2330
+#&gt; log_k_m1 -5.24800 0.13320 -5.51800 -4.9770
+#&gt; f_parent_ilr_1 0.04096 0.06312 -0.08746 0.1694
+#&gt; sigma 3.12600 0.35850 2.39600 3.8550
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1
-#&gt; parent_0 1.0000 0.5178 -0.1701 -0.5489
-#&gt; log_k_parent 0.5178 1.0000 -0.3285 -0.5451
-#&gt; log_k_m1 -0.1701 -0.3285 1.0000 0.7466
-#&gt; f_parent_ilr_1 -0.5489 -0.5451 0.7466 1.0000
-#&gt;
-#&gt; Residual standard error: 3.211 on 36 degrees of freedom
+#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1 sigma
+#&gt; parent_0 1.000e+00 5.174e-01 -1.688e-01 -5.471e-01 -5.940e-09
+#&gt; log_k_parent 5.174e-01 1.000e+00 -3.263e-01 -5.426e-01 -1.406e-08
+#&gt; log_k_m1 -1.688e-01 -3.263e-01 1.000e+00 7.478e-01 -2.306e-08
+#&gt; f_parent_ilr_1 -5.471e-01 -5.426e-01 7.478e-01 1.000e+00 -6.664e-09
+#&gt; sigma -5.940e-09 -1.406e-08 -2.306e-08 -6.664e-09 1.000e+00
#&gt;
#&gt; Backtransformed parameters:
#&gt; Confidence intervals for internally transformed parameters are asymmetric.
#&gt; t-test (unrealistically) based on the assumption of normal distribution
#&gt; for estimators of untransformed parameters.
#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.600000 61.720 2.024e-38 96.330000 1.029e+02
-#&gt; k_parent 0.098700 23.880 5.700e-24 0.090660 1.074e-01
-#&gt; k_m1 0.005261 7.349 5.758e-09 0.003992 6.933e-03
-#&gt; f_parent_to_m1 0.514500 22.490 4.375e-23 0.468100 5.606e-01
+#&gt; parent_0 99.600000 63.430 2.298e-36 96.400000 1.028e+02
+#&gt; k_parent 0.098700 24.470 4.955e-23 0.090820 1.073e-01
+#&gt; k_m1 0.005261 7.510 6.165e-09 0.004012 6.898e-03
+#&gt; f_parent_to_m1 0.514500 23.070 3.104e-22 0.469100 5.596e-01
+#&gt; sigma 3.126000 8.718 2.235e-10 2.396000 3.855e+00
#&gt;
#&gt; Chi2 error levels in percent:
#&gt; err.min n.optim df
@@ -710,10 +627,10 @@
#&gt; 0 parent 102.04 99.59848 2.442e+00
#&gt; 1 parent 93.50 90.23787 3.262e+00
#&gt; 1 parent 92.50 90.23787 2.262e+00
-#&gt; 3 parent 63.23 74.07319 -1.084e+01
-#&gt; 3 parent 68.99 74.07319 -5.083e+00
-#&gt; 7 parent 52.32 49.91206 2.408e+00
-#&gt; 7 parent 55.13 49.91206 5.218e+00
+#&gt; 3 parent 63.23 74.07320 -1.084e+01
+#&gt; 3 parent 68.99 74.07320 -5.083e+00
+#&gt; 7 parent 52.32 49.91207 2.408e+00
+#&gt; 7 parent 55.13 49.91207 5.218e+00
#&gt; 14 parent 27.27 25.01257 2.257e+00
#&gt; 14 parent 26.64 25.01257 1.627e+00
#&gt; 21 parent 11.50 12.53462 -1.035e+00
@@ -723,9 +640,7 @@
#&gt; 50 parent 0.69 0.71624 -2.624e-02
#&gt; 50 parent 0.63 0.71624 -8.624e-02
#&gt; 75 parent 0.05 0.06074 -1.074e-02
-#&gt; 75 parent 0.06 0.06074 -7.381e-04
-#&gt; 0 m1 0.00 0.00000 0.000e+00
-#&gt; 0 m1 0.00 0.00000 0.000e+00
+#&gt; 75 parent 0.06 0.06074 -7.382e-04
#&gt; 1 m1 4.84 4.80296 3.704e-02
#&gt; 1 m1 5.64 4.80296 8.370e-01
#&gt; 3 m1 12.91 13.02400 -1.140e-01
@@ -745,11 +660,10 @@
#&gt; 100 m1 31.04 31.98163 -9.416e-01
#&gt; 100 m1 33.13 31.98163 1.148e+00
#&gt; 120 m1 25.15 28.78984 -3.640e+00
-#&gt; 120 m1 33.31 28.78984 4.520e+00</div><div class='input'><span class='no'>f.irls</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>reweight.method</span> <span class='kw'>=</span> <span class='st'>"obs"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.irls</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:26 2019
-#&gt; Date of summary: Mon Mar 4 14:05:26 2019
+#&gt; 120 m1 33.31 28.78984 4.520e+00</div><div class='input'><span class='no'>f.obs</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>error_model</span> <span class='kw'>=</span> <span class='st'>"obs"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.obs</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
+#&gt; R version used for fitting: 3.5.3
+#&gt; Date of fit: Wed Apr 10 10:10:19 2019
+#&gt; Date of summary: Wed Apr 10 10:10:19 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent * parent
@@ -757,131 +671,10 @@
#&gt;
#&gt; Model predictions using solution type deSolve
#&gt;
-#&gt; Fitted with method Port using 551 model solutions performed in 2.517 s
+#&gt; Fitted with method using 558 model solutions performed in 1.602 s
#&gt;
-#&gt; Weighting: none
-#&gt;
-#&gt; Iterative reweighting with method obs
-#&gt; Final mean squared residuals of observed variables:
-#&gt; parent m1
-#&gt; 11.573407 7.407845
-#&gt;
-#&gt; Starting values for parameters to be optimised:
-#&gt; value type
-#&gt; parent_0 100.7500 state
-#&gt; k_parent 0.1000 deparm
-#&gt; k_m1 0.1001 deparm
-#&gt; f_parent_to_m1 0.5000 deparm
-#&gt;
-#&gt; Starting values for the transformed parameters actually optimised:
-#&gt; value lower upper
-#&gt; parent_0 100.750000 -Inf Inf
-#&gt; log_k_parent -2.302585 -Inf Inf
-#&gt; log_k_m1 -2.301586 -Inf Inf
-#&gt; f_parent_ilr_1 0.000000 -Inf Inf
-#&gt;
-#&gt; Fixed parameter values:
-#&gt; value type
-#&gt; m1_0 0 state
-#&gt;
-#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.67000 1.79200 96.04000 103.300
-#&gt; log_k_parent -2.31200 0.04560 -2.40400 -2.219
-#&gt; log_k_m1 -5.25100 0.12510 -5.50500 -4.998
-#&gt; f_parent_ilr_1 0.03785 0.06318 -0.09027 0.166
-#&gt;
-#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1
-#&gt; parent_0 1.0000 0.5083 -0.1979 -0.6148
-#&gt; log_k_parent 0.5083 1.0000 -0.3894 -0.6062
-#&gt; log_k_m1 -0.1979 -0.3894 1.0000 0.7417
-#&gt; f_parent_ilr_1 -0.6148 -0.6062 0.7417 1.0000
-#&gt;
-#&gt; Residual standard error: 1.054 on 36 degrees of freedom
-#&gt;
-#&gt; Backtransformed parameters:
-#&gt; Confidence intervals for internally transformed parameters are asymmetric.
-#&gt; t-test (unrealistically) based on the assumption of normal distribution
-#&gt; for estimators of untransformed parameters.
-#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.67000 55.630 8.185e-37 96.040000 1.033e+02
-#&gt; k_parent 0.09906 21.930 1.016e-22 0.090310 1.087e-01
-#&gt; k_m1 0.00524 7.996 8.486e-10 0.004066 6.753e-03
-#&gt; f_parent_to_m1 0.51340 23.000 2.038e-23 0.468100 5.584e-01
-#&gt;
-#&gt; Chi2 error levels in percent:
-#&gt; err.min n.optim df
-#&gt; All data 6.399 4 15
-#&gt; parent 6.466 2 7
-#&gt; m1 4.679 2 8
-#&gt;
-#&gt; Resulting formation fractions:
-#&gt; ff
-#&gt; parent_m1 0.5134
-#&gt; parent_sink 0.4866
-#&gt;
-#&gt; Estimated disappearance times:
-#&gt; DT50 DT90
-#&gt; parent 6.997 23.24
-#&gt; m1 132.282 439.43
-#&gt;
-#&gt; Data:
-#&gt; time variable observed predicted residual err
-#&gt; 0 parent 99.46 99.67218 -2.122e-01 3.402
-#&gt; 0 parent 102.04 99.67218 2.368e+00 3.402
-#&gt; 1 parent 93.50 90.27153 3.228e+00 3.402
-#&gt; 1 parent 92.50 90.27153 2.228e+00 3.402
-#&gt; 3 parent 63.23 74.04648 -1.082e+01 3.402
-#&gt; 3 parent 68.99 74.04648 -5.056e+00 3.402
-#&gt; 7 parent 52.32 49.82092 2.499e+00 3.402
-#&gt; 7 parent 55.13 49.82092 5.309e+00 3.402
-#&gt; 14 parent 27.27 24.90288 2.367e+00 3.402
-#&gt; 14 parent 26.64 24.90288 1.737e+00 3.402
-#&gt; 21 parent 11.50 12.44765 -9.476e-01 3.402
-#&gt; 21 parent 11.64 12.44765 -8.076e-01 3.402
-#&gt; 35 parent 2.85 3.11002 -2.600e-01 3.402
-#&gt; 35 parent 2.91 3.11002 -2.000e-01 3.402
-#&gt; 50 parent 0.69 0.70374 -1.374e-02 3.402
-#&gt; 50 parent 0.63 0.70374 -7.374e-02 3.402
-#&gt; 75 parent 0.05 0.05913 -9.134e-03 3.402
-#&gt; 75 parent 0.06 0.05913 8.662e-04 3.402
-#&gt; 0 m1 0.00 0.00000 0.000e+00 2.722
-#&gt; 0 m1 0.00 0.00000 0.000e+00 2.722
-#&gt; 1 m1 4.84 4.81328 2.672e-02 2.722
-#&gt; 1 m1 5.64 4.81328 8.267e-01 2.722
-#&gt; 3 m1 12.91 13.04779 -1.378e-01 2.722
-#&gt; 3 m1 12.96 13.04779 -8.779e-02 2.722
-#&gt; 7 m1 22.97 25.07615 -2.106e+00 2.722
-#&gt; 7 m1 24.47 25.07615 -6.062e-01 2.722
-#&gt; 14 m1 41.69 36.70729 4.983e+00 2.722
-#&gt; 14 m1 33.21 36.70729 -3.497e+00 2.722
-#&gt; 21 m1 44.37 41.65050 2.720e+00 2.722
-#&gt; 21 m1 46.44 41.65050 4.790e+00 2.722
-#&gt; 35 m1 41.22 43.28866 -2.069e+00 2.722
-#&gt; 35 m1 37.95 43.28866 -5.339e+00 2.722
-#&gt; 50 m1 41.19 41.19339 -3.386e-03 2.722
-#&gt; 50 m1 40.01 41.19339 -1.183e+00 2.722
-#&gt; 75 m1 40.09 36.43820 3.652e+00 2.722
-#&gt; 75 m1 33.85 36.43820 -2.588e+00 2.722
-#&gt; 100 m1 31.04 31.98971 -9.497e-01 2.722
-#&gt; 100 m1 33.13 31.98971 1.140e+00 2.722
-#&gt; 120 m1 25.15 28.80898 -3.659e+00 2.722
-#&gt; 120 m1 33.31 28.80898 4.501e+00 2.722</div><div class='input'><span class='no'>f.w.mean</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>weight</span> <span class='kw'>=</span> <span class='st'>"mean"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.w.mean</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:27 2019
-#&gt; Date of summary: Mon Mar 4 14:05:27 2019
-#&gt;
-#&gt; Equations:
-#&gt; d_parent/dt = - k_parent * parent
-#&gt; d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1
-#&gt;
-#&gt; Model predictions using solution type deSolve
-#&gt;
-#&gt; Fitted with method Port using 155 model solutions performed in 0.704 s
-#&gt;
-#&gt; Weighting: mean
+#&gt; Error model:
+#&gt; NULL
#&gt;
#&gt; Starting values for parameters to be optimised:
#&gt; value type
@@ -889,6 +682,8 @@
#&gt; k_parent 0.1000 deparm
#&gt; k_m1 0.1001 deparm
#&gt; f_parent_to_m1 0.5000 deparm
+#&gt; sigma_parent 3.0000 error
+#&gt; sigma_m1 3.0000 error
#&gt;
#&gt; Starting values for the transformed parameters actually optimised:
#&gt; value lower upper
@@ -896,6 +691,8 @@
#&gt; log_k_parent -2.302585 -Inf Inf
#&gt; log_k_m1 -2.301586 -Inf Inf
#&gt; f_parent_ilr_1 0.000000 -Inf Inf
+#&gt; sigma_parent 3.000000 0 Inf
+#&gt; sigma_m1 3.000000 0 Inf
#&gt;
#&gt; Fixed parameter values:
#&gt; value type
@@ -903,331 +700,100 @@
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.7300 1.93200 95.81000 103.6000
-#&gt; log_k_parent -2.3090 0.04837 -2.40700 -2.2110
-#&gt; log_k_m1 -5.2550 0.12070 -5.49900 -5.0100
-#&gt; f_parent_ilr_1 0.0354 0.06344 -0.09327 0.1641
+#&gt; parent_0 99.65000 1.70200 96.19000 103.1000
+#&gt; log_k_parent -2.31300 0.04376 -2.40200 -2.2240
+#&gt; log_k_m1 -5.25000 0.12430 -5.50400 -4.9970
+#&gt; f_parent_ilr_1 0.03861 0.06171 -0.08708 0.1643
+#&gt; sigma_parent 3.40100 0.56820 2.24400 4.5590
+#&gt; sigma_m1 2.85500 0.45240 1.93400 3.7770
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1
-#&gt; parent_0 1.0000 0.5004 -0.2143 -0.6514
-#&gt; log_k_parent 0.5004 1.0000 -0.4282 -0.6383
-#&gt; log_k_m1 -0.2143 -0.4282 1.0000 0.7390
-#&gt; f_parent_ilr_1 -0.6514 -0.6383 0.7390 1.0000
-#&gt;
-#&gt; Residual standard error: 0.09829 on 36 degrees of freedom
-#&gt;
-#&gt; Backtransformed parameters:
-#&gt; Confidence intervals for internally transformed parameters are asymmetric.
-#&gt; t-test (unrealistically) based on the assumption of normal distribution
-#&gt; for estimators of untransformed parameters.
-#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.730000 51.630 1.166e-35 95.81000 1.036e+02
-#&gt; k_parent 0.099360 20.670 7.304e-22 0.09007 1.096e-01
-#&gt; k_m1 0.005224 8.287 3.649e-10 0.00409 6.672e-03
-#&gt; f_parent_to_m1 0.512500 22.860 2.497e-23 0.46710 5.578e-01
-#&gt;
-#&gt; Chi2 error levels in percent:
-#&gt; err.min n.optim df
-#&gt; All data 6.401 4 15
-#&gt; parent 6.473 2 7
-#&gt; m1 4.671 2 8
-#&gt;
-#&gt; Resulting formation fractions:
-#&gt; ff
-#&gt; parent_m1 0.5125
-#&gt; parent_sink 0.4875
-#&gt;
-#&gt; Estimated disappearance times:
-#&gt; DT50 DT90
-#&gt; parent 6.976 23.18
-#&gt; m1 132.696 440.81
-#&gt;
-#&gt; Data:
-#&gt; time variable observed predicted residual
-#&gt; 0 parent 99.46 99.73057 -0.270570
-#&gt; 0 parent 102.04 99.73057 2.309430
-#&gt; 1 parent 93.50 90.29805 3.201945
-#&gt; 1 parent 92.50 90.29805 2.201945
-#&gt; 3 parent 63.23 74.02503 -10.795028
-#&gt; 3 parent 68.99 74.02503 -5.035028
-#&gt; 7 parent 52.32 49.74838 2.571618
-#&gt; 7 parent 55.13 49.74838 5.381618
-#&gt; 14 parent 27.27 24.81588 2.454124
-#&gt; 14 parent 26.64 24.81588 1.824124
-#&gt; 21 parent 11.50 12.37885 -0.878849
-#&gt; 21 parent 11.64 12.37885 -0.738849
-#&gt; 35 parent 2.85 3.08022 -0.230219
-#&gt; 35 parent 2.91 3.08022 -0.170219
-#&gt; 50 parent 0.69 0.69396 -0.003958
-#&gt; 50 parent 0.63 0.69396 -0.063958
-#&gt; 75 parent 0.05 0.05789 -0.007888
-#&gt; 75 parent 0.06 0.05789 0.002112
-#&gt; 0 m1 0.00 0.00000 0.000000
-#&gt; 0 m1 0.00 0.00000 0.000000
-#&gt; 1 m1 4.84 4.82149 0.018512
-#&gt; 1 m1 5.64 4.82149 0.818512
-#&gt; 3 m1 12.91 13.06669 -0.156692
-#&gt; 3 m1 12.96 13.06669 -0.106692
-#&gt; 7 m1 22.97 25.10106 -2.131058
-#&gt; 7 m1 24.47 25.10106 -0.631058
-#&gt; 14 m1 41.69 36.72092 4.969077
-#&gt; 14 m1 33.21 36.72092 -3.510923
-#&gt; 21 m1 44.37 41.64835 2.721647
-#&gt; 21 m1 46.44 41.64835 4.791647
-#&gt; 35 m1 41.22 43.26923 -2.049225
-#&gt; 35 m1 37.95 43.26923 -5.319225
-#&gt; 50 m1 41.19 41.17364 0.016361
-#&gt; 50 m1 40.01 41.17364 -1.163639
-#&gt; 75 m1 40.09 36.43122 3.658776
-#&gt; 75 m1 33.85 36.43122 -2.581224
-#&gt; 100 m1 31.04 31.99612 -0.956124
-#&gt; 100 m1 33.13 31.99612 1.133876
-#&gt; 120 m1 25.15 28.82413 -3.674128
-#&gt; 120 m1 33.31 28.82413 4.485872</div><div class='input'><span class='no'>f.w.value</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>FOCUS_2006_D</span>, <span class='no'>value</span> <span class='kw'>!=</span> <span class='fl'>0</span>), <span class='kw'>err</span> <span class='kw'>=</span> <span class='st'>"value"</span>,
- <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.w.value</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:28 2019
-#&gt; Date of summary: Mon Mar 4 14:05:28 2019
-#&gt;
-#&gt; Equations:
-#&gt; d_parent/dt = - k_parent * parent
-#&gt; d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1
-#&gt;
-#&gt; Model predictions using solution type deSolve
-#&gt;
-#&gt; Fitted with method Port using 174 model solutions performed in 0.866 s
-#&gt;
-#&gt; Weighting: manual
-#&gt;
-#&gt; Starting values for parameters to be optimised:
-#&gt; value type
-#&gt; parent_0 100.7500 state
-#&gt; k_parent 0.1000 deparm
-#&gt; k_m1 0.1001 deparm
-#&gt; f_parent_to_m1 0.5000 deparm
-#&gt;
-#&gt; Starting values for the transformed parameters actually optimised:
-#&gt; value lower upper
-#&gt; parent_0 100.750000 -Inf Inf
-#&gt; log_k_parent -2.302585 -Inf Inf
-#&gt; log_k_m1 -2.301586 -Inf Inf
-#&gt; f_parent_ilr_1 0.000000 -Inf Inf
-#&gt;
-#&gt; Fixed parameter values:
-#&gt; value type
-#&gt; m1_0 0 state
-#&gt;
-#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.6600 2.712000 94.14000 105.2000
-#&gt; log_k_parent -2.2980 0.008118 -2.31500 -2.2820
-#&gt; log_k_m1 -5.2410 0.096690 -5.43800 -5.0450
-#&gt; f_parent_ilr_1 0.0231 0.057990 -0.09474 0.1409
-#&gt;
-#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1
-#&gt; parent_0 1.00000 0.6843 -0.08687 -0.7564
-#&gt; log_k_parent 0.68435 1.0000 -0.12695 -0.5812
-#&gt; log_k_m1 -0.08687 -0.1269 1.00000 0.5195
-#&gt; f_parent_ilr_1 -0.75644 -0.5812 0.51952 1.0000
-#&gt;
-#&gt; Residual standard error: 0.08396 on 34 degrees of freedom
-#&gt;
-#&gt; Backtransformed parameters:
-#&gt; Confidence intervals for internally transformed parameters are asymmetric.
-#&gt; t-test (unrealistically) based on the assumption of normal distribution
-#&gt; for estimators of untransformed parameters.
-#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.660000 36.75 2.957e-29 94.14000 1.052e+02
-#&gt; k_parent 0.100400 123.20 5.927e-47 0.09878 1.021e-01
-#&gt; k_m1 0.005295 10.34 2.447e-12 0.00435 6.444e-03
-#&gt; f_parent_to_m1 0.508200 24.79 1.184e-23 0.46660 5.497e-01
-#&gt;
-#&gt; Chi2 error levels in percent:
-#&gt; err.min n.optim df
-#&gt; All data 6.461 4 15
-#&gt; parent 6.520 2 7
-#&gt; m1 4.744 2 8
-#&gt;
-#&gt; Resulting formation fractions:
-#&gt; ff
-#&gt; parent_m1 0.5082
-#&gt; parent_sink 0.4918
-#&gt;
-#&gt; Estimated disappearance times:
-#&gt; DT50 DT90
-#&gt; parent 6.902 22.93
-#&gt; m1 130.916 434.89
-#&gt;
-#&gt; Data:
-#&gt; time variable observed predicted residual err
-#&gt; 0 parent 99.46 99.65571 -0.195715 99.46
-#&gt; 0 parent 102.04 99.65571 2.384285 102.04
-#&gt; 1 parent 93.50 90.13383 3.366170 93.50
-#&gt; 1 parent 92.50 90.13383 2.366170 92.50
-#&gt; 3 parent 63.23 73.73252 -10.502518 63.23
-#&gt; 3 parent 68.99 73.73252 -4.742518 68.99
-#&gt; 7 parent 52.32 49.34027 2.979728 52.32
-#&gt; 7 parent 55.13 49.34027 5.789728 55.13
-#&gt; 14 parent 27.27 24.42873 2.841271 27.27
-#&gt; 14 parent 26.64 24.42873 2.211271 26.64
-#&gt; 21 parent 11.50 12.09484 -0.594842 11.50
-#&gt; 21 parent 11.64 12.09484 -0.454842 11.64
-#&gt; 35 parent 2.85 2.96482 -0.114824 2.85
-#&gt; 35 parent 2.91 2.96482 -0.054824 2.91
-#&gt; 50 parent 0.69 0.65733 0.032670 0.69
-#&gt; 50 parent 0.63 0.65733 -0.027330 0.63
-#&gt; 75 parent 0.05 0.05339 -0.003386 0.05
-#&gt; 75 parent 0.06 0.05339 0.006614 0.06
-#&gt; 1 m1 4.84 4.82570 0.014301 4.84
-#&gt; 1 m1 5.64 4.82570 0.814301 5.64
-#&gt; 3 m1 12.91 13.06402 -0.154020 12.91
-#&gt; 3 m1 12.96 13.06402 -0.104020 12.96
-#&gt; 7 m1 22.97 25.04656 -2.076564 22.97
-#&gt; 7 m1 24.47 25.04656 -0.576564 24.47
-#&gt; 14 m1 41.69 36.53601 5.153988 41.69
-#&gt; 14 m1 33.21 36.53601 -3.326012 33.21
-#&gt; 21 m1 44.37 41.34639 3.023609 44.37
-#&gt; 21 m1 46.44 41.34639 5.093609 46.44
-#&gt; 35 m1 41.22 42.82669 -1.606690 41.22
-#&gt; 35 m1 37.95 42.82669 -4.876690 37.95
-#&gt; 50 m1 41.19 40.67342 0.516578 41.19
-#&gt; 50 m1 40.01 40.67342 -0.663422 40.01
-#&gt; 75 m1 40.09 35.91105 4.178947 40.09
-#&gt; 75 m1 33.85 35.91105 -2.061053 33.85
-#&gt; 100 m1 31.04 31.48161 -0.441612 31.04
-#&gt; 100 m1 33.13 31.48161 1.648388 33.13
-#&gt; 120 m1 25.15 28.32018 -3.170181 25.15
-#&gt; 120 m1 33.31 28.32018 4.989819 33.31</div><div class='input'>
-</div><div class='input'><span class='co'># Manual weighting</span>
-<span class='no'>dw</span> <span class='kw'>&lt;-</span> <span class='no'>FOCUS_2006_D</span>
-<span class='no'>errors</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fl'>2</span>, <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fl'>1</span>)
-<span class='no'>dw</span>$<span class='no'>err.man</span> <span class='kw'>&lt;-</span> <span class='no'>errors</span>[<span class='no'>FOCUS_2006_D</span>$<span class='no'>name</span>]
-<span class='no'>f.w.man</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>dw</span>, <span class='kw'>err</span> <span class='kw'>=</span> <span class='st'>"err.man"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.w.man</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:30 2019
-#&gt; Date of summary: Mon Mar 4 14:05:30 2019
-#&gt;
-#&gt; Equations:
-#&gt; d_parent/dt = - k_parent * parent
-#&gt; d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1
-#&gt;
-#&gt; Model predictions using solution type deSolve
-#&gt;
-#&gt; Fitted with method Port using 270 model solutions performed in 1.23 s
-#&gt;
-#&gt; Weighting: manual
-#&gt;
-#&gt; Starting values for parameters to be optimised:
-#&gt; value type
-#&gt; parent_0 100.7500 state
-#&gt; k_parent 0.1000 deparm
-#&gt; k_m1 0.1001 deparm
-#&gt; f_parent_to_m1 0.5000 deparm
-#&gt;
-#&gt; Starting values for the transformed parameters actually optimised:
-#&gt; value lower upper
-#&gt; parent_0 100.750000 -Inf Inf
-#&gt; log_k_parent -2.302585 -Inf Inf
-#&gt; log_k_m1 -2.301586 -Inf Inf
-#&gt; f_parent_ilr_1 0.000000 -Inf Inf
-#&gt;
-#&gt; Fixed parameter values:
-#&gt; value type
-#&gt; m1_0 0 state
-#&gt;
-#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.49000 1.33200 96.7800 102.2000
-#&gt; log_k_parent -2.32100 0.03550 -2.3930 -2.2490
-#&gt; log_k_m1 -5.24100 0.21280 -5.6730 -4.8100
-#&gt; f_parent_ilr_1 0.04571 0.08966 -0.1361 0.2275
-#&gt;
-#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1
-#&gt; parent_0 1.00000 0.5312 -0.09456 -0.3351
-#&gt; log_k_parent 0.53123 1.0000 -0.17800 -0.3360
-#&gt; log_k_m1 -0.09456 -0.1780 1.00000 0.7616
-#&gt; f_parent_ilr_1 -0.33514 -0.3360 0.76156 1.0000
-#&gt;
-#&gt; Residual standard error: 2.628 on 36 degrees of freedom
+#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1 sigma_parent
+#&gt; parent_0 1.00000 0.51078 -0.19133 -0.59997 0.035671
+#&gt; log_k_parent 0.51078 1.00000 -0.37458 -0.59239 0.069834
+#&gt; log_k_m1 -0.19133 -0.37458 1.00000 0.74398 -0.026158
+#&gt; f_parent_ilr_1 -0.59997 -0.59239 0.74398 1.00000 -0.041369
+#&gt; sigma_parent 0.03567 0.06983 -0.02616 -0.04137 1.000000
+#&gt; sigma_m1 -0.03385 -0.06627 0.02482 0.03926 -0.004628
+#&gt; sigma_m1
+#&gt; parent_0 -0.033847
+#&gt; log_k_parent -0.066265
+#&gt; log_k_m1 0.024822
+#&gt; f_parent_ilr_1 0.039256
+#&gt; sigma_parent -0.004628
+#&gt; sigma_m1 1.000000
#&gt;
#&gt; Backtransformed parameters:
#&gt; Confidence intervals for internally transformed parameters are asymmetric.
#&gt; t-test (unrealistically) based on the assumption of normal distribution
#&gt; for estimators of untransformed parameters.
#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.490000 74.69 2.221e-41 96.780000 1.022e+02
-#&gt; k_parent 0.098140 28.17 2.012e-26 0.091320 1.055e-01
-#&gt; k_m1 0.005292 4.70 1.873e-05 0.003437 8.148e-03
-#&gt; f_parent_to_m1 0.516200 16.30 1.686e-18 0.452000 5.798e-01
+#&gt; parent_0 99.650000 58.560 2.004e-34 96.190000 1.031e+02
+#&gt; k_parent 0.098970 22.850 1.099e-21 0.090530 1.082e-01
+#&gt; k_m1 0.005245 8.046 1.732e-09 0.004072 6.756e-03
+#&gt; f_parent_to_m1 0.513600 23.560 4.352e-22 0.469300 5.578e-01
+#&gt; sigma_parent 3.401000 5.985 5.662e-07 2.244000 4.559e+00
+#&gt; sigma_m1 2.855000 6.311 2.215e-07 1.934000 3.777e+00
#&gt;
#&gt; Chi2 error levels in percent:
#&gt; err.min n.optim df
-#&gt; All data 6.400 4 15
-#&gt; parent 6.454 2 7
-#&gt; m1 4.708 2 8
+#&gt; All data 6.398 4 15
+#&gt; parent 6.464 2 7
+#&gt; m1 4.682 2 8
#&gt;
#&gt; Resulting formation fractions:
#&gt; ff
-#&gt; parent_m1 0.5162
-#&gt; parent_sink 0.4838
+#&gt; parent_m1 0.5136
+#&gt; parent_sink 0.4864
#&gt;
#&gt; Estimated disappearance times:
#&gt; DT50 DT90
-#&gt; parent 7.063 23.46
-#&gt; m1 130.971 435.08
+#&gt; parent 7.003 23.26
+#&gt; m1 132.154 439.01
#&gt;
#&gt; Data:
-#&gt; time variable observed predicted residual err
-#&gt; 0 parent 99.46 99.48598 -0.025979 1
-#&gt; 0 parent 102.04 99.48598 2.554021 1
-#&gt; 1 parent 93.50 90.18612 3.313880 1
-#&gt; 1 parent 92.50 90.18612 2.313880 1
-#&gt; 3 parent 63.23 74.11316 -10.883163 1
-#&gt; 3 parent 68.99 74.11316 -5.123163 1
-#&gt; 7 parent 52.32 50.05030 2.269705 1
-#&gt; 7 parent 55.13 50.05030 5.079705 1
-#&gt; 14 parent 27.27 25.17975 2.090250 1
-#&gt; 14 parent 26.64 25.17975 1.460250 1
-#&gt; 21 parent 11.50 12.66765 -1.167654 1
-#&gt; 21 parent 11.64 12.66765 -1.027654 1
-#&gt; 35 parent 2.85 3.20616 -0.356164 1
-#&gt; 35 parent 2.91 3.20616 -0.296164 1
-#&gt; 50 parent 0.69 0.73562 -0.045619 1
-#&gt; 50 parent 0.63 0.73562 -0.105619 1
-#&gt; 75 parent 0.05 0.06326 -0.013256 1
-#&gt; 75 parent 0.06 0.06326 -0.003256 1
-#&gt; 0 m1 0.00 0.00000 0.000000 2
-#&gt; 0 m1 0.00 0.00000 0.000000 2
-#&gt; 1 m1 4.84 4.78729 0.052713 2
-#&gt; 1 m1 5.64 4.78729 0.852713 2
-#&gt; 3 m1 12.91 12.98785 -0.077848 2
-#&gt; 3 m1 12.96 12.98785 -0.027848 2
-#&gt; 7 m1 22.97 24.99695 -2.026946 2
-#&gt; 7 m1 24.47 24.99695 -0.526946 2
-#&gt; 14 m1 41.69 36.66353 5.026472 2
-#&gt; 14 m1 33.21 36.66353 -3.453528 2
-#&gt; 21 m1 44.37 41.65681 2.713186 2
-#&gt; 21 m1 46.44 41.65681 4.783186 2
-#&gt; 35 m1 41.22 43.35031 -2.130314 2
-#&gt; 35 m1 37.95 43.35031 -5.400314 2
-#&gt; 50 m1 41.19 41.25637 -0.066368 2
-#&gt; 50 m1 40.01 41.25637 -1.246368 2
-#&gt; 75 m1 40.09 36.46057 3.629429 2
-#&gt; 75 m1 33.85 36.46057 -2.610571 2
-#&gt; 100 m1 31.04 31.96929 -0.929293 2
-#&gt; 100 m1 33.13 31.96929 1.160707 2
-#&gt; 120 m1 25.15 28.76062 -3.610621 2
-#&gt; 120 m1 33.31 28.76062 4.549379 2</div><div class='input'><span class='no'>f.w.man.irls</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>dw</span>, <span class='kw'>err</span> <span class='kw'>=</span> <span class='st'>"err.man"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
- <span class='kw'>reweight.method</span> <span class='kw'>=</span> <span class='st'>"obs"</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.w.man.irls</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:05:33 2019
-#&gt; Date of summary: Mon Mar 4 14:05:33 2019
+#&gt; time variable observed predicted residual
+#&gt; 0 parent 99.46 99.65417 -1.942e-01
+#&gt; 0 parent 102.04 99.65417 2.386e+00
+#&gt; 1 parent 93.50 90.26333 3.237e+00
+#&gt; 1 parent 92.50 90.26333 2.237e+00
+#&gt; 3 parent 63.23 74.05306 -1.082e+01
+#&gt; 3 parent 68.99 74.05306 -5.063e+00
+#&gt; 7 parent 52.32 49.84325 2.477e+00
+#&gt; 7 parent 55.13 49.84325 5.287e+00
+#&gt; 14 parent 27.27 24.92971 2.340e+00
+#&gt; 14 parent 26.64 24.92971 1.710e+00
+#&gt; 21 parent 11.50 12.46890 -9.689e-01
+#&gt; 21 parent 11.64 12.46890 -8.289e-01
+#&gt; 35 parent 2.85 3.11925 -2.692e-01
+#&gt; 35 parent 2.91 3.11925 -2.092e-01
+#&gt; 50 parent 0.69 0.70679 -1.679e-02
+#&gt; 50 parent 0.63 0.70679 -7.679e-02
+#&gt; 75 parent 0.05 0.05952 -9.523e-03
+#&gt; 75 parent 0.06 0.05952 4.772e-04
+#&gt; 1 m1 4.84 4.81075 2.925e-02
+#&gt; 1 m1 5.64 4.81075 8.292e-01
+#&gt; 3 m1 12.91 13.04197 -1.320e-01
+#&gt; 3 m1 12.96 13.04197 -8.197e-02
+#&gt; 7 m1 22.97 25.06847 -2.098e+00
+#&gt; 7 m1 24.47 25.06847 -5.985e-01
+#&gt; 14 m1 41.69 36.70308 4.987e+00
+#&gt; 14 m1 33.21 36.70308 -3.493e+00
+#&gt; 21 m1 44.37 41.65115 2.719e+00
+#&gt; 21 m1 46.44 41.65115 4.789e+00
+#&gt; 35 m1 41.22 43.29465 -2.075e+00
+#&gt; 35 m1 37.95 43.29465 -5.345e+00
+#&gt; 50 m1 41.19 41.19948 -9.482e-03
+#&gt; 50 m1 40.01 41.19948 -1.189e+00
+#&gt; 75 m1 40.09 36.44036 3.650e+00
+#&gt; 75 m1 33.85 36.44036 -2.590e+00
+#&gt; 100 m1 31.04 31.98774 -9.477e-01
+#&gt; 100 m1 33.13 31.98774 1.142e+00
+#&gt; 120 m1 25.15 28.80430 -3.654e+00
+#&gt; 120 m1 33.31 28.80430 4.506e+00</div><div class='input'><span class='no'>f.tc</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>error_model</span> <span class='kw'>=</span> <span class='st'>"tc"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f.tc</span>)</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
+#&gt; R version used for fitting: 3.5.3
+#&gt; Date of fit: Wed Apr 10 10:10:22 2019
+#&gt; Date of summary: Wed Apr 10 10:10:22 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent * parent
@@ -1235,14 +801,10 @@
#&gt;
#&gt; Model predictions using solution type deSolve
#&gt;
-#&gt; Fitted with method Port using 692 model solutions performed in 3.197 s
-#&gt;
-#&gt; Weighting: manual
+#&gt; Fitted with method using 756 model solutions performed in 3.222 s
#&gt;
-#&gt; Iterative reweighting with method obs
-#&gt; Final mean squared residuals of observed variables:
-#&gt; parent m1
-#&gt; 11.573406 7.407846
+#&gt; Error model:
+#&gt; NULL
#&gt;
#&gt; Starting values for parameters to be optimised:
#&gt; value type
@@ -1250,6 +812,8 @@
#&gt; k_parent 0.1000 deparm
#&gt; k_m1 0.1001 deparm
#&gt; f_parent_to_m1 0.5000 deparm
+#&gt; sigma_low 0.5000 error
+#&gt; rsd_high 0.0700 error
#&gt;
#&gt; Starting values for the transformed parameters actually optimised:
#&gt; value lower upper
@@ -1257,95 +821,100 @@
#&gt; log_k_parent -2.302585 -Inf Inf
#&gt; log_k_m1 -2.301586 -Inf Inf
#&gt; f_parent_ilr_1 0.000000 -Inf Inf
+#&gt; sigma_low 0.500000 0 Inf
+#&gt; rsd_high 0.070000 0 Inf
#&gt;
#&gt; Fixed parameter values:
#&gt; value type
#&gt; m1_0 0 state
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.67000 1.79200 96.04000 103.300
-#&gt; log_k_parent -2.31200 0.04560 -2.40400 -2.220
-#&gt; log_k_m1 -5.25100 0.12510 -5.50500 -4.998
-#&gt; f_parent_ilr_1 0.03785 0.06318 -0.09027 0.166
+#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 100.70000 2.621000 95.400000 106.10000
+#&gt; log_k_parent -2.29700 0.008862 -2.315000 -2.27900
+#&gt; log_k_m1 -5.26600 0.091310 -5.452000 -5.08000
+#&gt; f_parent_ilr_1 0.02374 0.055300 -0.088900 0.13640
+#&gt; sigma_low 0.00305 0.004829 -0.006786 0.01289
+#&gt; rsd_high 0.07928 0.009418 0.060100 0.09847
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1
-#&gt; parent_0 1.0000 0.5083 -0.1979 -0.6148
-#&gt; log_k_parent 0.5083 1.0000 -0.3894 -0.6062
-#&gt; log_k_m1 -0.1979 -0.3894 1.0000 0.7417
-#&gt; f_parent_ilr_1 -0.6148 -0.6062 0.7417 1.0000
-#&gt;
-#&gt; Residual standard error: 1.054 on 36 degrees of freedom
+#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1 sigma_low rsd_high
+#&gt; parent_0 1.00000 0.67644 -0.10215 -0.76822 0.14294 -0.08783
+#&gt; log_k_parent 0.67644 1.00000 -0.15102 -0.59491 0.34611 -0.08125
+#&gt; log_k_m1 -0.10215 -0.15102 1.00000 0.51808 -0.05236 0.01240
+#&gt; f_parent_ilr_1 -0.76822 -0.59491 0.51808 1.00000 -0.13900 0.03248
+#&gt; sigma_low 0.14294 0.34611 -0.05236 -0.13900 1.00000 -0.16546
+#&gt; rsd_high -0.08783 -0.08125 0.01240 0.03248 -0.16546 1.00000
#&gt;
#&gt; Backtransformed parameters:
#&gt; Confidence intervals for internally transformed parameters are asymmetric.
#&gt; t-test (unrealistically) based on the assumption of normal distribution
#&gt; for estimators of untransformed parameters.
-#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.67000 55.630 8.185e-37 96.040000 1.033e+02
-#&gt; k_parent 0.09906 21.930 1.016e-22 0.090310 1.087e-01
-#&gt; k_m1 0.00524 7.996 8.486e-10 0.004066 6.753e-03
-#&gt; f_parent_to_m1 0.51340 23.000 2.039e-23 0.468100 5.584e-01
+#&gt; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 1.007e+02 38.4300 1.180e-28 95.400000 1.061e+02
+#&gt; k_parent 1.006e-01 112.8000 1.718e-43 0.098760 1.024e-01
+#&gt; k_m1 5.167e-03 10.9500 1.171e-12 0.004290 6.223e-03
+#&gt; f_parent_to_m1 5.084e-01 26.0100 2.146e-23 0.468600 5.481e-01
+#&gt; sigma_low 3.050e-03 0.6314 2.661e-01 -0.006786 1.289e-02
+#&gt; rsd_high 7.928e-02 8.4170 6.418e-10 0.060100 9.847e-02
#&gt;
#&gt; Chi2 error levels in percent:
#&gt; err.min n.optim df
-#&gt; All data 6.399 4 15
-#&gt; parent 6.466 2 7
-#&gt; m1 4.679 2 8
+#&gt; All data 6.475 4 15
+#&gt; parent 6.573 2 7
+#&gt; m1 4.671 2 8
#&gt;
#&gt; Resulting formation fractions:
#&gt; ff
-#&gt; parent_m1 0.5134
-#&gt; parent_sink 0.4866
+#&gt; parent_m1 0.5084
+#&gt; parent_sink 0.4916
#&gt;
#&gt; Estimated disappearance times:
-#&gt; DT50 DT90
-#&gt; parent 6.997 23.24
-#&gt; m1 132.282 439.43
+#&gt; DT50 DT90
+#&gt; parent 6.893 22.9
+#&gt; m1 134.156 445.7
#&gt;
#&gt; Data:
-#&gt; time variable observed predicted residual err.ini err
-#&gt; 0 parent 99.46 99.67217 -2.122e-01 1 3.402
-#&gt; 0 parent 102.04 99.67217 2.368e+00 1 3.402
-#&gt; 1 parent 93.50 90.27152 3.228e+00 1 3.402
-#&gt; 1 parent 92.50 90.27152 2.228e+00 1 3.402
-#&gt; 3 parent 63.23 74.04648 -1.082e+01 1 3.402
-#&gt; 3 parent 68.99 74.04648 -5.056e+00 1 3.402
-#&gt; 7 parent 52.32 49.82092 2.499e+00 1 3.402
-#&gt; 7 parent 55.13 49.82092 5.309e+00 1 3.402
-#&gt; 14 parent 27.27 24.90288 2.367e+00 1 3.402
-#&gt; 14 parent 26.64 24.90288 1.737e+00 1 3.402
-#&gt; 21 parent 11.50 12.44765 -9.477e-01 1 3.402
-#&gt; 21 parent 11.64 12.44765 -8.077e-01 1 3.402
-#&gt; 35 parent 2.85 3.11002 -2.600e-01 1 3.402
-#&gt; 35 parent 2.91 3.11002 -2.000e-01 1 3.402
-#&gt; 50 parent 0.69 0.70375 -1.375e-02 1 3.402
-#&gt; 50 parent 0.63 0.70375 -7.375e-02 1 3.402
-#&gt; 75 parent 0.05 0.05913 -9.134e-03 1 3.402
-#&gt; 75 parent 0.06 0.05913 8.661e-04 1 3.402
-#&gt; 0 m1 0.00 0.00000 0.000e+00 2 2.722
-#&gt; 0 m1 0.00 0.00000 0.000e+00 2 2.722
-#&gt; 1 m1 4.84 4.81328 2.672e-02 2 2.722
-#&gt; 1 m1 5.64 4.81328 8.267e-01 2 2.722
-#&gt; 3 m1 12.91 13.04779 -1.378e-01 2 2.722
-#&gt; 3 m1 12.96 13.04779 -8.779e-02 2 2.722
-#&gt; 7 m1 22.97 25.07615 -2.106e+00 2 2.722
-#&gt; 7 m1 24.47 25.07615 -6.062e-01 2 2.722
-#&gt; 14 m1 41.69 36.70729 4.983e+00 2 2.722
-#&gt; 14 m1 33.21 36.70729 -3.497e+00 2 2.722
-#&gt; 21 m1 44.37 41.65050 2.719e+00 2 2.722
-#&gt; 21 m1 46.44 41.65050 4.789e+00 2 2.722
-#&gt; 35 m1 41.22 43.28866 -2.069e+00 2 2.722
-#&gt; 35 m1 37.95 43.28866 -5.339e+00 2 2.722
-#&gt; 50 m1 41.19 41.19339 -3.387e-03 2 2.722
-#&gt; 50 m1 40.01 41.19339 -1.183e+00 2 2.722
-#&gt; 75 m1 40.09 36.43820 3.652e+00 2 2.722
-#&gt; 75 m1 33.85 36.43820 -2.588e+00 2 2.722
-#&gt; 100 m1 31.04 31.98971 -9.497e-01 2 2.722
-#&gt; 100 m1 33.13 31.98971 1.140e+00 2 2.722
-#&gt; 120 m1 25.15 28.80897 -3.659e+00 2 2.722
-#&gt; 120 m1 33.31 28.80897 4.501e+00 2 2.722</div></pre>
+#&gt; time variable observed predicted residual
+#&gt; 0 parent 99.46 100.73434 -1.274340
+#&gt; 0 parent 102.04 100.73434 1.305660
+#&gt; 1 parent 93.50 91.09751 2.402486
+#&gt; 1 parent 92.50 91.09751 1.402486
+#&gt; 3 parent 63.23 74.50141 -11.271410
+#&gt; 3 parent 68.99 74.50141 -5.511410
+#&gt; 7 parent 52.32 49.82880 2.491200
+#&gt; 7 parent 55.13 49.82880 5.301200
+#&gt; 14 parent 27.27 24.64809 2.621908
+#&gt; 14 parent 26.64 24.64809 1.991908
+#&gt; 21 parent 11.50 12.19232 -0.692316
+#&gt; 21 parent 11.64 12.19232 -0.552316
+#&gt; 35 parent 2.85 2.98327 -0.133266
+#&gt; 35 parent 2.91 2.98327 -0.073266
+#&gt; 50 parent 0.69 0.66013 0.029874
+#&gt; 50 parent 0.63 0.66013 -0.030126
+#&gt; 75 parent 0.05 0.05344 -0.003438
+#&gt; 75 parent 0.06 0.05344 0.006562
+#&gt; 1 m1 4.84 4.88645 -0.046451
+#&gt; 1 m1 5.64 4.88645 0.753549
+#&gt; 3 m1 12.91 13.22867 -0.318669
+#&gt; 3 m1 12.96 13.22867 -0.268669
+#&gt; 7 m1 22.97 25.36417 -2.394167
+#&gt; 7 m1 24.47 25.36417 -0.894167
+#&gt; 14 m1 41.69 37.00974 4.680262
+#&gt; 14 m1 33.21 37.00974 -3.799738
+#&gt; 21 m1 44.37 41.90133 2.468668
+#&gt; 21 m1 46.44 41.90133 4.538668
+#&gt; 35 m1 41.22 43.45691 -2.236914
+#&gt; 35 m1 37.95 43.45691 -5.506914
+#&gt; 50 m1 41.19 41.34199 -0.151986
+#&gt; 50 m1 40.01 41.34199 -1.331986
+#&gt; 75 m1 40.09 36.61470 3.475295
+#&gt; 75 m1 33.85 36.61470 -2.764705
+#&gt; 100 m1 31.04 32.20082 -1.160823
+#&gt; 100 m1 33.13 32.20082 0.929177
+#&gt; 120 m1 25.15 29.04130 -3.891303
+#&gt; 120 m1 33.31 29.04130 4.268697</div><div class='input'>
+</div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
@@ -1358,8 +927,6 @@
<li><a href="#note">Note</a></li>
- <li><a href="#note">Note</a></li>
-
<li><a href="#source">Source</a></li>
<li><a href="#examples">Examples</a></li>
diff --git a/docs/reference/mkinmod.html b/docs/reference/mkinmod.html
index 37f95690..b100f251 100644
--- a/docs/reference/mkinmod.html
+++ b/docs/reference/mkinmod.html
@@ -68,7 +68,7 @@ For the definition of model types and their parameters, the equations given
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -234,7 +234,7 @@ For the definition of model types and their parameters, the equations given
<span class='no'>SFO_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinmod</span>(
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>), <span class='kw'>verbose</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; Compilation argument:
-#&gt; /usr/lib/R/bin/R CMD SHLIB filef43390002d2.c 2&gt; filef43390002d2.c.err.txt
+#&gt; /usr/lib/R/bin/R CMD SHLIB file27ad440ff595.c 2&gt; file27ad440ff595.c.err.txt
#&gt; Program source:
#&gt; 1: #include &lt;R.h&gt;
#&gt; 2:
diff --git a/docs/reference/mkinparplot-1.png b/docs/reference/mkinparplot-1.png
index ba7212c5..82b9c212 100644
--- a/docs/reference/mkinparplot-1.png
+++ b/docs/reference/mkinparplot-1.png
Binary files differ
diff --git a/docs/reference/mkinparplot.html b/docs/reference/mkinparplot.html
index e819befe..c90acf4a 100644
--- a/docs/reference/mkinparplot.html
+++ b/docs/reference/mkinparplot.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -154,8 +154,8 @@
<pre class="examples"><div class='input'><span class='no'>model</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(
<span class='kw'>T245</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"phenol"</span>), <span class='kw'>sink</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>),
<span class='kw'>phenol</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"anisole"</span>)),
- <span class='kw'>anisole</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>model</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>), <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'>mkinparplot</span>(<span class='no'>fit</span>)</div><div class='img'><img src='mkinparplot-1.png' alt='' width='700' height='433' /></div></pre>
+ <span class='kw'>anisole</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>model</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>), <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Optimisation did not converge:</span>
+#&gt; <span class='warning'>false convergence (8)</span></div><div class='input'><span class='fu'>mkinparplot</span>(<span class='no'>fit</span>)</div><div class='img'><img src='mkinparplot-1.png' alt='' width='700' height='433' /></div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/mkinplot.html b/docs/reference/mkinplot.html
index 573e8e7c..0c8ee269 100644
--- a/docs/reference/mkinplot.html
+++ b/docs/reference/mkinplot.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/mkinpredict.html b/docs/reference/mkinpredict.html
index fb4afa9a..56c1ed27 100644
--- a/docs/reference/mkinpredict.html
+++ b/docs/reference/mkinpredict.html
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -333,50 +333,48 @@
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fl'>0</span>), <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/seq'>seq</a></span>(<span class='fl'>0</span>, <span class='fl'>20</span>, <span class='kw'>by</span> <span class='kw'>=</span> <span class='fl'>0.1</span>),
<span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>)[<span class='fl'>201</span>,]))</div><div class='output co'>#&gt; time parent m1
#&gt; 201 20 4.978707 27.46227</div><div class='output co'>#&gt; User System verstrichen
-#&gt; 0.002 0.000 0.002 </div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span>(
+#&gt; 0.002 0.000 0.001 </div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span>(
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='fu'>mkinpredict</span>(<span class='no'>SFO_SFO</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>k_parent_m1</span> <span class='kw'>=</span> <span class='fl'>0.05</span>, <span class='kw'>k_parent_sink</span> <span class='kw'>=</span> <span class='fl'>0.1</span>, <span class='kw'>k_m1_sink</span> <span class='kw'>=</span> <span class='fl'>0.01</span>),
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fl'>100</span>, <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fl'>0</span>), <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/seq'>seq</a></span>(<span class='fl'>0</span>, <span class='fl'>20</span>, <span class='kw'>by</span> <span class='kw'>=</span> <span class='fl'>0.1</span>),
<span class='kw'>solution_type</span> <span class='kw'>=</span> <span class='st'>"deSolve"</span>, <span class='kw'>use_compiled</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>)[<span class='fl'>201</span>,]))</div><div class='output co'>#&gt; time parent m1
#&gt; 201 20 4.978707 27.46227</div><div class='output co'>#&gt; User System verstrichen
-#&gt; 0.039 0.000 0.039 </div><div class='input'>
+#&gt; 0.04 0.00 0.04 </div><div class='input'>
</div><div class='input'> <span class='co'># Predict from a fitted model</span>
- <span class='no'>f</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_C</span>)</div><div class='output co'>#&gt; Model cost at call 1 : 552.5739
-#&gt; Model cost at call 3 : 552.5739
-#&gt; Model cost at call 4 : 552.5739
-#&gt; Model cost at call 6 : 279.9345
-#&gt; Model cost at call 7 : 279.9344
-#&gt; Model cost at call 8 : 279.9294
-#&gt; Model cost at call 9 : 279.9294
-#&gt; Model cost at call 12 : 200.3629
-#&gt; Model cost at call 13 : 200.3629
-#&gt; Model cost at call 18 : 197.9039
-#&gt; Model cost at call 23 : 197.9039
-#&gt; Model cost at call 25 : 196.6754
-#&gt; Model cost at call 27 : 196.6754
-#&gt; Model cost at call 32 : 196.5742
-#&gt; Model cost at call 33 : 196.5742
-#&gt; Model cost at call 34 : 196.5742
-#&gt; Model cost at call 38 : 196.5361
-#&gt; Model cost at call 40 : 196.5361
-#&gt; Model cost at call 44 : 196.5336
-#&gt; Model cost at call 45 : 196.5336
-#&gt; Model cost at call 50 : 196.5334
-#&gt; Model cost at call 51 : 196.5334
-#&gt; Model cost at call 52 : 196.5334
-#&gt; Model cost at call 56 : 196.5334
-#&gt; Model cost at call 58 : 196.5334
-#&gt; Model cost at call 59 : 196.5334
-#&gt; Model cost at call 65 : 196.5334
-#&gt; Model cost at call 73 : 196.5334
-#&gt; Model cost at call 78 : 196.5334
-#&gt; Model cost at call 80 : 196.5334
-#&gt; Optimisation by method Port successfully terminated.</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/utils/topics/head'>head</a></span>(<span class='fu'>mkinpredict</span>(<span class='no'>f</span>))</div><div class='output co'>#&gt; time parent m1
+ <span class='no'>f</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_C</span>)</div><div class='output co'>#&gt; Negative log-likelihood at call 1: 552.5739
+#&gt; Negative log-likelihood at call 3: 552.5739
+#&gt; Negative log-likelihood at call 4: 552.5739
+#&gt; Negative log-likelihood at call 6: 279.9345
+#&gt; Negative log-likelihood at call 7: 279.9344
+#&gt; Negative log-likelihood at call 8: 279.9294
+#&gt; Negative log-likelihood at call 9: 279.9294
+#&gt; Negative log-likelihood at call 12: 200.3629
+#&gt; Negative log-likelihood at call 13: 200.3629
+#&gt; Negative log-likelihood at call 18: 197.9039
+#&gt; Negative log-likelihood at call 25: 196.6754
+#&gt; Negative log-likelihood at call 27: 196.6754
+#&gt; Negative log-likelihood at call 32: 196.5742
+#&gt; Negative log-likelihood at call 33: 196.5742
+#&gt; Negative log-likelihood at call 34: 196.5742
+#&gt; Negative log-likelihood at call 38: 196.5361
+#&gt; Negative log-likelihood at call 40: 196.5361
+#&gt; Negative log-likelihood at call 44: 196.5336
+#&gt; Negative log-likelihood at call 45: 196.5336
+#&gt; Negative log-likelihood at call 50: 196.5334
+#&gt; Negative log-likelihood at call 51: 196.5334
+#&gt; Negative log-likelihood at call 52: 196.5334
+#&gt; Negative log-likelihood at call 56: 196.5334
+#&gt; Negative log-likelihood at call 58: 196.5334
+#&gt; Negative log-likelihood at call 59: 196.5334
+#&gt; Negative log-likelihood at call 65: 196.5334
+#&gt; Negative log-likelihood at call 75: 26.64668
+#&gt; Negative log-likelihood at call 103: 26.64668
+#&gt; Optimisation successfully terminated.</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/utils/topics/head'>head</a></span>(<span class='fu'>mkinpredict</span>(<span class='no'>f</span>))</div><div class='output co'>#&gt; time parent m1
#&gt; 1 0.0 82.49216 0.000000
-#&gt; 2 0.1 80.00563 1.179955
-#&gt; 3 0.2 77.59404 2.312580
-#&gt; 4 0.3 75.25515 3.399419
-#&gt; 5 0.4 72.98675 4.441969
-#&gt; 6 0.5 70.78673 5.441679</div><div class='input'> </div></pre>
+#&gt; 2 0.1 80.00563 1.179956
+#&gt; 3 0.2 77.59404 2.312583
+#&gt; 4 0.3 75.25515 3.399424
+#&gt; 5 0.4 72.98675 4.441974
+#&gt; 6 0.5 70.78673 5.441685</div><div class='input'> </div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/mkinresplot-1.png b/docs/reference/mkinresplot-1.png
index b53869c7..5b7180ee 100644
--- a/docs/reference/mkinresplot-1.png
+++ b/docs/reference/mkinresplot-1.png
Binary files differ
diff --git a/docs/reference/mkinresplot.html b/docs/reference/mkinresplot.html
index c216d8b8..ab3b35b4 100644
--- a/docs/reference/mkinresplot.html
+++ b/docs/reference/mkinresplot.html
@@ -66,7 +66,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -199,8 +199,7 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'><span class='no'>model</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>), <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>model</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='fu'>mkinresplot</span>(<span class='no'>fit</span>, <span class='st'>"m1"</span>)</div><div class='img'><img src='mkinresplot-1.png' alt='' width='700' height='433' /></div></pre>
+ <pre class="examples"><div class='input'><span class='no'>model</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>), <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>model</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='fu'>mkinresplot</span>(<span class='no'>fit</span>, <span class='st'>"m1"</span>)</div><div class='img'><img src='mkinresplot-1.png' alt='' width='700' height='433' /></div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/mkinsub.html b/docs/reference/mkinsub.html
index fee17102..b87ceca4 100644
--- a/docs/reference/mkinsub.html
+++ b/docs/reference/mkinsub.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/mmkin-3.png b/docs/reference/mmkin-3.png
index 952e6af3..4743eabd 100644
--- a/docs/reference/mmkin-3.png
+++ b/docs/reference/mmkin-3.png
Binary files differ
diff --git a/docs/reference/mmkin-5.png b/docs/reference/mmkin-5.png
index 7ab171d1..5e1527fa 100644
--- a/docs/reference/mmkin-5.png
+++ b/docs/reference/mmkin-5.png
Binary files differ
diff --git a/docs/reference/mmkin.html b/docs/reference/mmkin.html
index af963d13..68451ca6 100644
--- a/docs/reference/mmkin.html
+++ b/docs/reference/mmkin.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -194,11 +194,11 @@
<span class='no'>time_1</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span>(<span class='no'>fits.4</span> <span class='kw'>&lt;-</span> <span class='fu'>mmkin</span>(<span class='no'>models</span>, <span class='no'>datasets</span>, <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>))
<span class='no'>time_default</span></div><div class='output co'>#&gt; User System verstrichen
-#&gt; 0.049 0.025 6.950 </div><div class='input'><span class='no'>time_1</span></div><div class='output co'>#&gt; User System verstrichen
-#&gt; 22.404 0.000 22.417 </div><div class='input'>
+#&gt; 0.034 0.041 5.124 </div><div class='input'><span class='no'>time_1</span></div><div class='output co'>#&gt; User System verstrichen
+#&gt; 19.594 0.000 19.605 </div><div class='input'>
<span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fits.0</span><span class='kw'>[[</span><span class='st'>"SFO_lin"</span>, <span class='fl'>2</span>]])</div><div class='output co'>#&gt; $ff
#&gt; parent_M1 parent_sink M1_M2 M1_sink
-#&gt; 0.7340480 0.2659520 0.7505686 0.2494314
+#&gt; 0.7340481 0.2659519 0.7505683 0.2494317
#&gt;
#&gt; $SFORB
#&gt; logical(0)
@@ -206,8 +206,8 @@
#&gt; $distimes
#&gt; DT50 DT90
#&gt; parent 0.8777689 2.915885
-#&gt; M1 2.3257453 7.725959
-#&gt; M2 33.7200874 112.015706
+#&gt; M1 2.3257442 7.725955
+#&gt; M2 33.7200941 112.015728
#&gt; </div><div class='input'>
<span class='co'># plot.mkinfit handles rows or columns of mmkin result objects</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fits.0</span>[<span class='fl'>1</span>, ])</div><div class='img'><img src='mmkin-1.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fits.0</span>[<span class='fl'>1</span>, ], <span class='kw'>obs_var</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"M1"</span>, <span class='st'>"M2"</span>))</div><div class='img'><img src='mmkin-2.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fits.0</span>[, <span class='fl'>1</span>])</div><div class='img'><img src='mmkin-3.png' alt='' width='700' height='433' /></div><div class='input'><span class='co'># Use double brackets to extract a single mkinfit object, which will be plotted</span>
diff --git a/docs/reference/nafta.html b/docs/reference/nafta.html
index f12e24e0..93bc3955 100644
--- a/docs/reference/nafta.html
+++ b/docs/reference/nafta.html
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -182,8 +182,7 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'> <span class='no'>nafta_evaluation</span> <span class='kw'>&lt;-</span> <span class='fu'>nafta</span>(<span class='no'>NAFTA_SOP_Appendix_D</span>, <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Calculation of the Jacobian failed for the cost function of the untransformed model.</span>
-#&gt; <span class='warning'>No t-test results will be available</span></div><div class='output co'>#&gt; <span class='message'>The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life of the IORE model is longer than the one corresponding</span></div><div class='output co'>#&gt; <span class='message'>to the terminal degradation rate found with the DFOP model.</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life obtained from the DFOP model may be used</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='output co'>#&gt; Sums of squares:
+ <pre class="examples"><div class='input'> <span class='no'>nafta_evaluation</span> <span class='kw'>&lt;-</span> <span class='fu'>nafta</span>(<span class='no'>NAFTA_SOP_Appendix_D</span>, <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>)</div><div class='output co'>#&gt; <span class='message'>The SFO model is rejected as S_SFO is equal or higher than the critical value S_c</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life of the IORE model is longer than the one corresponding</span></div><div class='output co'>#&gt; <span class='message'>to the terminal degradation rate found with the DFOP model.</span></div><div class='output co'>#&gt; <span class='message'>The representative half-life obtained from the DFOP model may be used</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='output co'>#&gt; Sums of squares:
#&gt; SFO IORE DFOP
#&gt; 1378.6832 615.7730 517.8836
#&gt;
@@ -192,22 +191,25 @@
#&gt;
#&gt; Parameters:
#&gt; $SFO
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 83.7558 8.08e-15 76.92822 90.58328
-#&gt; k_parent_sink 0.0017 7.45e-05 0.00111 0.00262
+#&gt; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 83.7558 1.80e-14 77.18268 90.3288
+#&gt; k_parent_sink 0.0017 7.43e-05 0.00112 0.0026
+#&gt; sigma 8.7518 1.22e-05 5.64278 11.8608
#&gt;
#&gt; $IORE
#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 9.69e+01 NA 8.75e+01 1.06e+02
-#&gt; k__iore_parent_sink 8.40e-14 NA 1.09e-19 6.47e-08
-#&gt; N_parent 6.68e+00 NA 3.54e+00 9.83e+00
+#&gt; parent_0 9.69e+01 NA 8.88e+01 1.05e+02
+#&gt; k__iore_parent_sink 8.40e-14 NA 1.79e-18 3.94e-09
+#&gt; N_parent 6.68e+00 NA 4.19e+00 9.17e+00
+#&gt; sigma 5.85e+00 NA 3.76e+00 7.94e+00
#&gt;
#&gt; $DFOP
#&gt; Estimate Pr(&gt;t) Lower Upper
-#&gt; parent_0 9.76e+01 4.44e-13 8.88e+01 1.06e+02
-#&gt; k1 4.24e-02 3.55e-02 1.41e-02 1.27e-01
-#&gt; k2 8.24e-04 2.06e-02 3.17e-04 2.14e-03
-#&gt; g 2.88e-01 1.31e-04 1.78e-01 4.30e-01
+#&gt; parent_0 9.76e+01 1.94e-13 9.02e+01 1.05e+02
+#&gt; k1 4.24e-02 5.92e-03 2.03e-02 8.88e-02
+#&gt; k2 8.24e-04 6.48e-03 3.89e-04 1.75e-03
+#&gt; g 2.88e-01 2.47e-05 1.95e-01 4.03e-01
+#&gt; sigma 5.36e+00 2.22e-05 3.43e+00 7.30e+00
#&gt;
#&gt;
#&gt; DTx values:
@@ -217,7 +219,7 @@
#&gt; DFOP 429 2380 841
#&gt;
#&gt; Representative half-life:
-#&gt; [1] 841.4096</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='img'><img src='nafta-1.png' alt='' width='700' height='433' /></div></pre>
+#&gt; [1] 841.4094</div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>nafta_evaluation</span>)</div><div class='img'><img src='nafta-1.png' alt='' width='700' height='433' /></div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/docs/reference/plot.mkinfit-1.png b/docs/reference/plot.mkinfit-1.png
index f7404448..115792db 100644
--- a/docs/reference/plot.mkinfit-1.png
+++ b/docs/reference/plot.mkinfit-1.png
Binary files differ
diff --git a/docs/reference/plot.mkinfit-2.png b/docs/reference/plot.mkinfit-2.png
index 93c9efe0..15bdba55 100644
--- a/docs/reference/plot.mkinfit-2.png
+++ b/docs/reference/plot.mkinfit-2.png
Binary files differ
diff --git a/docs/reference/plot.mkinfit-3.png b/docs/reference/plot.mkinfit-3.png
index 7b8a81e2..9a074f31 100644
--- a/docs/reference/plot.mkinfit-3.png
+++ b/docs/reference/plot.mkinfit-3.png
Binary files differ
diff --git a/docs/reference/plot.mkinfit-4.png b/docs/reference/plot.mkinfit-4.png
index d44b6f9f..f8ae39c2 100644
--- a/docs/reference/plot.mkinfit-4.png
+++ b/docs/reference/plot.mkinfit-4.png
Binary files differ
diff --git a/docs/reference/plot.mkinfit.html b/docs/reference/plot.mkinfit.html
index 7255b324..525200ff 100644
--- a/docs/reference/plot.mkinfit.html
+++ b/docs/reference/plot.mkinfit.html
@@ -68,7 +68,7 @@ If the current plot device is a tikz device,
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -261,10 +261,9 @@ plot_sep(fit, sep_obs = TRUE, show_residuals = TRUE, show_errmin = TRUE, &#8230
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'><span class='co'># One parent compound, one metabolite, both single first order, path from</span>
-<span class='co'># parent to sink included, use Levenberg-Marquardt for speed</span>
+<span class='co'># parent to sink included</span>
<span class='no'>SFO_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>, <span class='kw'>full</span> <span class='kw'>=</span> <span class='st'>"Parent"</span>),
- <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='kw'>full</span> <span class='kw'>=</span> <span class='st'>"Metabolite M1"</span> ))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>method.modFit</span> <span class='kw'>=</span> <span class='st'>"Marq"</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fit</span>)</div><div class='img'><img src='plot.mkinfit-1.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fit</span>, <span class='kw'>show_residuals</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='img'><img src='plot.mkinfit-2.png' alt='' width='700' height='433' /></div><div class='input'>
+ <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='kw'>full</span> <span class='kw'>=</span> <span class='st'>"Metabolite M1"</span> ))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fit</span>)</div><div class='img'><img src='plot.mkinfit-1.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fit</span>, <span class='kw'>show_residuals</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='img'><img src='plot.mkinfit-2.png' alt='' width='700' height='433' /></div><div class='input'>
<span class='co'># Show the observed variables separately</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fit</span>, <span class='kw'>sep_obs</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>lpos</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"topright"</span>, <span class='st'>"bottomright"</span>))</div><div class='img'><img src='plot.mkinfit-3.png' alt='' width='700' height='433' /></div><div class='input'>
<span class='co'># Show the observed variables separately, with residuals</span>
diff --git a/docs/reference/plot.mmkin-1.png b/docs/reference/plot.mmkin-1.png
index 2aa7aad9..60e602d4 100644
--- a/docs/reference/plot.mmkin-1.png
+++ b/docs/reference/plot.mmkin-1.png
Binary files differ
diff --git a/docs/reference/plot.mmkin-2.png b/docs/reference/plot.mmkin-2.png
index 94b1332a..f1e4318c 100644
--- a/docs/reference/plot.mmkin-2.png
+++ b/docs/reference/plot.mmkin-2.png
Binary files differ
diff --git a/docs/reference/plot.mmkin-3.png b/docs/reference/plot.mmkin-3.png
index ca78fa42..04762756 100644
--- a/docs/reference/plot.mmkin-3.png
+++ b/docs/reference/plot.mmkin-3.png
Binary files differ
diff --git a/docs/reference/plot.mmkin.html b/docs/reference/plot.mmkin.html
index e1651208..b3f2de66 100644
--- a/docs/reference/plot.mmkin.html
+++ b/docs/reference/plot.mmkin.html
@@ -67,7 +67,7 @@ If the current plot device is a tikz device,
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -187,10 +187,10 @@ If the current plot device is a tikz device,
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'> <span class='co'># Only use one core not to offend CRAN checks, use Levenberg-Marquardt for speed</span>
+ <pre class="examples"><div class='input'> <span class='co'># Only use one core not to offend CRAN checks</span>
<span class='no'>fits</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mmkin.html'>mmkin</a></span>(<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"FOMC"</span>, <span class='st'>"HS"</span>),
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='st'>"FOCUS B"</span> <span class='kw'>=</span> <span class='no'>FOCUS_2006_B</span>, <span class='st'>"FOCUS C"</span> <span class='kw'>=</span> <span class='no'>FOCUS_2006_C</span>), <span class='co'># named list for titles</span>
- <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>, <span class='kw'>method.modFit</span> <span class='kw'>=</span> <span class='st'>"Marq"</span>)
+ <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fits</span>[, <span class='st'>"FOCUS C"</span>])</div><div class='img'><img src='plot.mmkin-1.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fits</span>[<span class='st'>"FOMC"</span>, ])</div><div class='img'><img src='plot.mmkin-2.png' alt='' width='700' height='433' /></div><div class='input'>
<span class='co'># We can also plot a single fit, if we like the way plot.mmkin works, but then the plot</span>
<span class='co'># height should be smaller than the plot width (this is not possible for the html pages</span>
diff --git a/docs/reference/plot.nafta.html b/docs/reference/plot.nafta.html
index 753cbd6a..1aa4485a 100644
--- a/docs/reference/plot.nafta.html
+++ b/docs/reference/plot.nafta.html
@@ -67,7 +67,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/print.mkinds.html b/docs/reference/print.mkinds.html
index 96607b02..2cc112aa 100644
--- a/docs/reference/print.mkinds.html
+++ b/docs/reference/print.mkinds.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/print.mkinmod.html b/docs/reference/print.mkinmod.html
index 7e138697..d09b629e 100644
--- a/docs/reference/print.mkinmod.html
+++ b/docs/reference/print.mkinmod.html
@@ -63,7 +63,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/print.nafta.html b/docs/reference/print.nafta.html
index 1b35053f..28847afe 100644
--- a/docs/reference/print.nafta.html
+++ b/docs/reference/print.nafta.html
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/schaefer07_complex_case-1.png b/docs/reference/schaefer07_complex_case-1.png
index 6a621369..49967dc9 100644
--- a/docs/reference/schaefer07_complex_case-1.png
+++ b/docs/reference/schaefer07_complex_case-1.png
Binary files differ
diff --git a/docs/reference/schaefer07_complex_case.html b/docs/reference/schaefer07_complex_case.html
index 1e8a6d9e..fec2a187 100644
--- a/docs/reference/schaefer07_complex_case.html
+++ b/docs/reference/schaefer07_complex_case.html
@@ -65,7 +65,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -167,7 +167,7 @@
<span class='kw'>A2</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> </div><div class='input'> <span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>model</span>, <span class='no'>data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
<span class='fu'><a href='https://www.rdocumentation.org/packages/graphics/topics/plot'>plot</a></span>(<span class='no'>fit</span>)</div><div class='img'><img src='schaefer07_complex_case-1.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='endpoints.html'>endpoints</a></span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; $ff
#&gt; parent_A1 parent_B1 parent_C1 parent_sink A1_A2 A1_sink
-#&gt; 0.3809621 0.1954665 0.4235714 0.0000000 0.4479674 0.5520326
+#&gt; 0.3809619 0.1954667 0.4235714 0.0000000 0.4479605 0.5520395
#&gt;
#&gt; $SFORB
#&gt; logical(0)
@@ -175,10 +175,10 @@
#&gt; $distimes
#&gt; DT50 DT90
#&gt; parent 13.95078 46.34350
-#&gt; A1 49.75342 165.27728
-#&gt; B1 37.26913 123.80536
-#&gt; C1 11.23133 37.30968
-#&gt; A2 28.50591 94.69457
+#&gt; A1 49.75344 165.27734
+#&gt; B1 37.26908 123.80520
+#&gt; C1 11.23130 37.30958
+#&gt; A2 28.50644 94.69634
#&gt; </div><div class='input'> </div><div class='input'> <span class='co'># Compare with the results obtained in the original publication</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>schaefer07_complex_results</span>)</div><div class='output co'>#&gt; compound parameter KinGUI ModelMaker deviation
#&gt; 1 parent degradation rate 0.0496 0.0506 2.0
diff --git a/docs/reference/sigma_twocomp.html b/docs/reference/sigma_twocomp.html
index eca5deec..265c7d1f 100644
--- a/docs/reference/sigma_twocomp.html
+++ b/docs/reference/sigma_twocomp.html
@@ -68,7 +68,7 @@ This is the error model used for example by Werner et al. (1978). The model
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/summary.mkinfit.html b/docs/reference/summary.mkinfit.html
index f561e258..e5565990 100644
--- a/docs/reference/summary.mkinfit.html
+++ b/docs/reference/summary.mkinfit.html
@@ -32,10 +32,10 @@
<meta property="og:title" content="Summary method for class "mkinfit" — summary.mkinfit" />
-<meta property="og:description" content="Lists model equations, the summary as returned by summary.modFit,
- the chi2 error levels calculated according to FOCUS guidance (2006) as far
- as defined therein, and optionally the data, consisting of observed, predicted
- and residual values." />
+<meta property="og:description" content="Lists model equations, initial parameter values, optimised parameters with some
+ uncertainty statistics, the chi2 error levels calculated according to FOCUS
+ guidance (2006) as defined therein, formation fractions, DT50 values and
+ optionally the data, consisting of observed, predicted and residual values." />
<meta name="twitter:card" content="summary" />
@@ -66,7 +66,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -131,10 +131,10 @@
<div class="ref-description">
- <p>Lists model equations, the summary as returned by <code>summary.modFit</code>,
- the chi2 error levels calculated according to FOCUS guidance (2006) as far
- as defined therein, and optionally the data, consisting of observed, predicted
- and residual values.</p>
+ <p>Lists model equations, initial parameter values, optimised parameters with some
+ uncertainty statistics, the chi2 error levels calculated according to FOCUS
+ guidance (2006) as defined therein, formation fractions, DT50 values and
+ optionally the data, consisting of observed, predicted and residual values.</p>
</div>
@@ -178,8 +178,7 @@
<h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
- <p>The summary function returns a list derived from
- <code>summary.modFit</code>, with components, among others</p>
+ <p>The summary function returns a list with components, among others</p>
<dt>version, Rversion</dt><dd><p>The mkin and R versions used</p></dd>
<dt>date.fit, date.summary</dt><dd><p>The dates where the fit and the summary were produced</p></dd>
<dt>use_of_ff</dt><dd><p>Was maximum or minimum use made of formation fractions</p></dd>
@@ -193,6 +192,7 @@
<dt>errmin </dt><dd><p>The chi2 error levels for each observed variable.</p></dd>
<dt>bparms.ode </dt><dd><p>All backtransformed ODE parameters, for use as starting parameters for
related models.</p></dd>
+ <dt>errparms </dt><dd><p>Error model parameters.</p></dd>
<dt>ff </dt><dd><p>The estimated formation fractions derived from the fitted model.</p></dd>
<dt>distimes </dt><dd><p>The DT50 and DT90 values for each observed variable.</p></dd>
<dt>SFORB</dt><dd><p>If applicable, eigenvalues of SFORB components of the model.</p></dd>
@@ -209,52 +209,56 @@
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
- <pre class="examples"><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>)), <span class='no'>FOCUS_2006_A</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>))</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.48.1
-#&gt; R version used for fitting: 3.5.2
-#&gt; Date of fit: Mon Mar 4 14:06:25 2019
-#&gt; Date of summary: Mon Mar 4 14:06:25 2019
+ <pre class="examples"><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>)), <span class='no'>FOCUS_2006_A</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>))</div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
+#&gt; R version used for fitting: 3.5.3
+#&gt; Date of fit: Wed Apr 10 10:11:15 2019
+#&gt; Date of summary: Wed Apr 10 10:11:15 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent_sink * parent
#&gt;
#&gt; Model predictions using solution type analytical
#&gt;
-#&gt; Fitted with method Port using 35 model solutions performed in 0.085 s
+#&gt; Fitted with method using 131 model solutions performed in 0.284 s
#&gt;
-#&gt; Weighting: none
+#&gt; Error model:
+#&gt; NULL
#&gt;
#&gt; Starting values for parameters to be optimised:
-#&gt; value type
-#&gt; parent_0 101.24 state
-#&gt; k_parent_sink 0.10 deparm
+#&gt; value type
+#&gt; parent_0 101.240000 state
+#&gt; k_parent_sink 0.100000 deparm
+#&gt; sigma 5.265546 error
#&gt;
#&gt; Starting values for the transformed parameters actually optimised:
#&gt; value lower upper
#&gt; parent_0 101.240000 -Inf Inf
#&gt; log_k_parent_sink -2.302585 -Inf Inf
+#&gt; sigma 5.265546 0 Inf
#&gt;
#&gt; Fixed parameter values:
#&gt; None
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 109.200 4.3910 98.410 119.900
-#&gt; log_k_parent_sink -3.291 0.1152 -3.573 -3.009
+#&gt; parent_0 109.200 3.70400 99.630 118.700
+#&gt; log_k_parent_sink -3.291 0.09176 -3.527 -3.055
+#&gt; sigma 5.266 1.31600 1.882 8.649
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent_sink
-#&gt; parent_0 1.000 0.575
-#&gt; log_k_parent_sink 0.575 1.000
-#&gt;
-#&gt; Residual standard error: 6.08 on 6 degrees of freedom
+#&gt; parent_0 log_k_parent_sink sigma
+#&gt; parent_0 1.000e+00 5.428e-01 1.642e-07
+#&gt; log_k_parent_sink 5.428e-01 1.000e+00 2.507e-07
+#&gt; sigma 1.642e-07 2.507e-07 1.000e+00
#&gt;
#&gt; Backtransformed parameters:
#&gt; Confidence intervals for internally transformed parameters are asymmetric.
#&gt; t-test (unrealistically) based on the assumption of normal distribution
#&gt; for estimators of untransformed parameters.
-#&gt; Estimate t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 109.20000 24.860 1.394e-07 98.41000 119.90000
-#&gt; k_parent_sink 0.03722 8.679 6.457e-05 0.02807 0.04934
+#&gt; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 109.20000 29.47 4.218e-07 99.6300 118.70000
+#&gt; k_parent_sink 0.03722 10.90 5.650e-05 0.0294 0.04712
+#&gt; sigma 5.26600 4.00 5.162e-03 1.8820 8.64900
#&gt;
#&gt; Chi2 error levels in percent:
#&gt; err.min n.optim df
diff --git a/docs/reference/synthetic_data_for_UBA.html b/docs/reference/synthetic_data_for_UBA.html
index 6e36e72f..2c2623e4 100644
--- a/docs/reference/synthetic_data_for_UBA.html
+++ b/docs/reference/synthetic_data_for_UBA.html
@@ -78,7 +78,7 @@ Compare also the code in the example section to see the degradation models." />
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
diff --git a/docs/reference/test_data_from_UBA_2014-1.png b/docs/reference/test_data_from_UBA_2014-1.png
index 47670389..9157a6a1 100644
--- a/docs/reference/test_data_from_UBA_2014-1.png
+++ b/docs/reference/test_data_from_UBA_2014-1.png
Binary files differ
diff --git a/docs/reference/test_data_from_UBA_2014-2.png b/docs/reference/test_data_from_UBA_2014-2.png
index 8d282842..528f3987 100644
--- a/docs/reference/test_data_from_UBA_2014-2.png
+++ b/docs/reference/test_data_from_UBA_2014-2.png
Binary files differ
diff --git a/docs/reference/test_data_from_UBA_2014.html b/docs/reference/test_data_from_UBA_2014.html
index 28e8b41c..dfb49619 100644
--- a/docs/reference/test_data_from_UBA_2014.html
+++ b/docs/reference/test_data_from_UBA_2014.html
@@ -64,7 +64,7 @@
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -158,23 +158,24 @@
<span class='co'># large parameter correlations, among other reasons (e.g. the adequacy of the</span>
<span class='co'># model).</span>
<span class='no'>m_ws</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent_w</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"parent_s"</span>),
- <span class='kw'>parent_s</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"parent_w"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> <span class='no'>f_river</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_ws</span>, <span class='no'>test_data_from_UBA_2014</span><span class='kw'>[[</span><span class='fl'>1</span>]]$<span class='no'>data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>f_river</span>)</div><div class='img'><img src='test_data_from_UBA_2014-1.png' alt='' width='700' height='433' /></div><div class='input'>
- <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f_river</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not estimate covariance matrix; singular system.</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
-#&gt; parent_w_0 9.598567e+01 2.33959800 4.102657e+01 9.568967e-19 NA
-#&gt; k_parent_w_sink 3.603743e-01 0.03497750 1.030303e+01 4.989002e-09 NA
-#&gt; k_parent_w_parent_s 6.031371e-02 0.01746024 3.454346e+00 1.514723e-03 NA
-#&gt; k_parent_s_sink 5.108539e-11 0.10382001 4.920572e-10 5.000000e-01 NA
-#&gt; k_parent_s_parent_w 7.419672e-02 0.11338240 6.543936e-01 2.608069e-01 NA
-#&gt; Upper
-#&gt; parent_w_0 NA
-#&gt; k_parent_w_sink NA
-#&gt; k_parent_w_parent_s NA
-#&gt; k_parent_s_sink NA
-#&gt; k_parent_s_parent_w NA</div><div class='input'> <span class='fu'><a href='mkinerrmin.html'>mkinerrmin</a></span>(<span class='no'>f_river</span>)</div><div class='output co'>#&gt; err.min n.optim df
+ <span class='kw'>parent_s</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"parent_w"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> <span class='no'>f_river</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_ws</span>, <span class='no'>test_data_from_UBA_2014</span><span class='kw'>[[</span><span class='fl'>1</span>]]$<span class='no'>data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>f_river</span>)</div><div class='img'><img src='test_data_from_UBA_2014-1.png' alt='' width='700' height='433' /></div><div class='input'>
+ <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f_river</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t)
+#&gt; parent_w_0 9.598567e+01 2.12352039 4.520120e+01 9.476357e-18
+#&gt; k_parent_w_sink 3.603743e-01 0.03149366 1.144276e+01 4.128096e-09
+#&gt; k_parent_w_parent_s 6.031371e-02 0.01603582 3.761185e+00 9.436293e-04
+#&gt; k_parent_s_sink 7.560341e-11 0.09483761 7.971881e-10 5.000000e-01
+#&gt; k_parent_s_parent_w 7.419672e-02 0.10738374 6.909493e-01 2.500756e-01
+#&gt; sigma 2.982879e+00 0.50546582 5.901247e+00 1.454824e-05
+#&gt; Lower Upper
+#&gt; parent_w_0 91.48420501 100.4871438
+#&gt; k_parent_w_sink 0.30668904 0.4234571
+#&gt; k_parent_w_parent_s 0.03423904 0.1062455
+#&gt; k_parent_s_sink 0.00000000 Inf
+#&gt; k_parent_s_parent_w 0.02289956 0.2404043
+#&gt; sigma 2.00184022 3.9639169</div><div class='input'> <span class='fu'><a href='mkinerrmin.html'>mkinerrmin</a></span>(<span class='no'>f_river</span>)</div><div class='output co'>#&gt; err.min n.optim df
#&gt; All data 0.09246946 5 6
#&gt; parent_w 0.06377096 3 3
-#&gt; parent_s 0.20882324 2 3</div><div class='input'>
+#&gt; parent_s 0.20882325 2 3</div><div class='input'>
<span class='co'># This is the evaluation used for the validation of software packages</span>
<span class='co'># in the expertise from 2014</span>
<span class='no'>m_soil</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"M1"</span>, <span class='st'>"M2"</span>)),
@@ -182,27 +183,28 @@
<span class='kw'>M2</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"M3"</span>),
<span class='kw'>M3</span> <span class='kw'>=</span> <span class='fu'><a href='mkinsub.html'>mkinsub</a></span>(<span class='st'>"SFO"</span>),
<span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'>
- <span class='no'>f_soil</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_soil</span>, <span class='no'>test_data_from_UBA_2014</span><span class='kw'>[[</span><span class='fl'>3</span>]]$<span class='no'>data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
- <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>f_soil</span>, <span class='kw'>lpos</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"topright"</span>, <span class='st'>"topright"</span>, <span class='st'>"topright"</span>, <span class='st'>"bottomright"</span>))</div><div class='img'><img src='test_data_from_UBA_2014-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f_soil</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
-#&gt; parent_0 76.55425584 0.943443794 81.1434198 4.422336e-30 74.602593773
-#&gt; k_parent 0.12081956 0.004815515 25.0896457 1.639665e-18 0.111257517
-#&gt; k_M1 0.84258651 0.930121548 0.9058886 1.871938e-01 0.085876516
-#&gt; k_M2 0.04210878 0.013729902 3.0669396 2.729137e-03 0.021450630
-#&gt; k_M3 0.01122919 0.008044865 1.3958206 8.804912e-02 0.002550984
-#&gt; f_parent_to_M1 0.32240199 0.278620579 1.1571363 1.295467e-01 NA
-#&gt; f_parent_to_M2 0.16099854 0.030548888 5.2701931 1.196190e-05 NA
-#&gt; f_M1_to_M3 0.27921500 0.314732842 0.8871492 1.920908e-01 0.015016983
-#&gt; f_M2_to_M3 0.55641333 0.650246995 0.8556954 2.004966e-01 0.005360555
+ <span class='no'>f_soil</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_soil</span>, <span class='no'>test_data_from_UBA_2014</span><span class='kw'>[[</span><span class='fl'>3</span>]]$<span class='no'>data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>f_soil</span>, <span class='kw'>lpos</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"topright"</span>, <span class='st'>"topright"</span>, <span class='st'>"topright"</span>, <span class='st'>"bottomright"</span>))</div><div class='img'><img src='test_data_from_UBA_2014-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f_soil</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower
+#&gt; parent_0 76.55425584 0.859186614 89.1008479 1.113866e-26 74.755959751
+#&gt; k_parent 0.12081956 0.004601922 26.2541548 1.077373e-16 0.111561582
+#&gt; k_M1 0.84258651 0.806231481 1.0450925 1.545475e-01 0.113839756
+#&gt; k_M2 0.04210878 0.017083049 2.4649452 1.170195e-02 0.018013807
+#&gt; k_M3 0.01122919 0.007245890 1.5497322 6.885127e-02 0.002909463
+#&gt; f_parent_to_M1 0.32240199 0.240803570 1.3388589 9.820821e-02 NA
+#&gt; f_parent_to_M2 0.16099854 0.033691991 4.7785403 6.531225e-05 NA
+#&gt; f_M1_to_M3 0.27921500 0.269443517 1.0362654 1.565440e-01 0.022992921
+#&gt; f_M2_to_M3 0.55641333 0.595125456 0.9349513 1.807725e-01 0.008003316
+#&gt; sigma 1.14005399 0.149696423 7.6157731 1.727024e-07 0.826735778
#&gt; Upper
-#&gt; parent_0 78.50591790
-#&gt; k_parent 0.13120341
-#&gt; k_M1 8.26712661
-#&gt; k_M2 0.08266188
-#&gt; k_M3 0.04942981
+#&gt; parent_0 78.35255192
+#&gt; k_parent 0.13084582
+#&gt; k_M1 6.23641562
+#&gt; k_M2 0.09843279
+#&gt; k_M3 0.04333950
#&gt; f_parent_to_M1 NA
#&gt; f_parent_to_M2 NA
-#&gt; f_M1_to_M3 0.90777163
-#&gt; f_M2_to_M3 0.99658633</div><div class='input'> <span class='fu'><a href='mkinerrmin.html'>mkinerrmin</a></span>(<span class='no'>f_soil</span>)</div><div class='output co'>#&gt; err.min n.optim df
+#&gt; f_M1_to_M3 0.86443090
+#&gt; f_M2_to_M3 0.99489847
+#&gt; sigma 1.45337221</div><div class='input'> <span class='fu'><a href='mkinerrmin.html'>mkinerrmin</a></span>(<span class='no'>f_soil</span>)</div><div class='output co'>#&gt; err.min n.optim df
#&gt; All data 0.09649963 9 20
#&gt; parent 0.04721283 2 6
#&gt; M1 0.26551209 2 5
diff --git a/docs/reference/transform_odeparms.html b/docs/reference/transform_odeparms.html
index fbc792f1..7e05480e 100644
--- a/docs/reference/transform_odeparms.html
+++ b/docs/reference/transform_odeparms.html
@@ -71,7 +71,7 @@ The transformation of sets of formation fractions is fragile, as it supposes
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">mkin</a>
- <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.48.1</span>
+ <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.4</span>
</span>
</div>
@@ -202,30 +202,32 @@ The transformation of sets of formation fractions is fragile, as it supposes
<pre class="examples"><div class='input'><span class='no'>SFO_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>, <span class='kw'>sink</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='co'># Fit the model to the FOCUS example dataset D using defaults</span>
-<span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='no'>fit.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit</span>)
+<span class='no'>fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit</span>)
<span class='co'># Transformed and backtransformed parameters</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.60 1.6137 96.33 102.87
-#&gt; log_k_parent_sink -3.04 0.0783 -3.20 -2.88
-#&gt; log_k_parent_m1 -2.98 0.0412 -3.06 -2.90
-#&gt; log_k_m1_sink -5.25 0.1361 -5.52 -4.97</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.59848 1.613712 61.72 2.02e-38 96.32572 1.03e+02
-#&gt; k_parent_sink 0.04792 0.003750 12.78 3.05e-15 0.04089 5.62e-02
-#&gt; k_parent_m1 0.05078 0.002094 24.25 3.41e-24 0.04670 5.52e-02
-#&gt; k_m1_sink 0.00526 0.000716 7.35 5.76e-09 0.00399 6.93e-03</div><div class='input'>
+#&gt; parent_0 99.60 1.5702 96.40 102.79
+#&gt; log_k_parent_sink -3.04 0.0763 -3.19 -2.88
+#&gt; log_k_parent_m1 -2.98 0.0403 -3.06 -2.90
+#&gt; log_k_m1_sink -5.25 0.1332 -5.52 -4.98
+#&gt; sigma 3.13 0.3585 2.40 3.85</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 99.59848 1.57022 63.43 2.30e-36 96.40384 102.7931
+#&gt; k_parent_sink 0.04792 0.00365 13.11 6.13e-15 0.04103 0.0560
+#&gt; k_parent_m1 0.05078 0.00205 24.80 3.27e-23 0.04678 0.0551
+#&gt; k_m1_sink 0.00526 0.00070 7.51 6.16e-09 0.00401 0.0069
+#&gt; sigma 3.12550 0.35852 8.72 2.24e-10 2.39609 3.8549</div><div class='input'>
</div><div class='input'><span class='co'># Compare to the version without transforming rate parameters</span>
-<span class='no'>fit.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>transform_rates</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='no'>fit.2.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>)
+<span class='no'>fit.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>transform_rates</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.2.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>)
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.59848 1.613710 96.32573 1.03e+02
-#&gt; k_parent_sink 0.04792 0.003750 0.04031 5.55e-02
-#&gt; k_parent_m1 0.05078 0.002094 0.04653 5.50e-02
-#&gt; k_m1_sink 0.00526 0.000716 0.00381 6.71e-03</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.59848 1.613710 61.72 2.02e-38 96.32573 1.03e+02
-#&gt; k_parent_sink 0.04792 0.003750 12.78 3.05e-15 0.04031 5.55e-02
-#&gt; k_parent_m1 0.05078 0.002094 24.25 3.41e-24 0.04653 5.50e-02
-#&gt; k_m1_sink 0.00526 0.000716 7.35 5.76e-09 0.00381 6.71e-03</div><div class='input'>
+#&gt; parent_0 99.59848 1.57022 96.40384 1.03e+02
+#&gt; k_parent_sink 0.04792 0.00365 0.04049 5.54e-02
+#&gt; k_parent_m1 0.05078 0.00205 0.04661 5.49e-02
+#&gt; k_m1_sink 0.00526 0.00070 0.00384 6.69e-03
+#&gt; sigma 3.12550 0.35852 2.39609 3.85e+00</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 99.59848 1.57022 63.43 2.30e-36 96.40384 1.03e+02
+#&gt; k_parent_sink 0.04792 0.00365 13.11 6.13e-15 0.04049 5.54e-02
+#&gt; k_parent_m1 0.05078 0.00205 24.80 3.27e-23 0.04661 5.49e-02
+#&gt; k_m1_sink 0.00526 0.00070 7.51 6.16e-09 0.00384 6.69e-03
+#&gt; sigma 3.12550 0.35852 8.72 2.24e-10 2.39609 3.85e+00</div><div class='input'>
<span class='no'>initials</span> <span class='kw'>&lt;-</span> <span class='no'>fit</span>$<span class='no'>start</span>$<span class='no'>value</span>
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/names'>names</a></span>(<span class='no'>initials</span>) <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/colnames'>rownames</a></span>(<span class='no'>fit</span>$<span class='no'>start</span>)
<span class='no'>transformed</span> <span class='kw'>&lt;-</span> <span class='no'>fit</span>$<span class='no'>start_transformed</span>$<span class='no'>value</span>
@@ -238,17 +240,18 @@ The transformation of sets of formation fractions is fragile, as it supposes
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>, <span class='kw'>sink</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>),
<span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'>
-<span class='no'>fit.ff</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='no'>fit.ff.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff</span>)
+<span class='no'>fit.ff</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.ff.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff</span>)
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.598 1.6137 96.3257 102.871
-#&gt; log_k_parent -2.316 0.0419 -2.4006 -2.231
-#&gt; log_k_m1 -5.248 0.1361 -5.5235 -4.972
-#&gt; f_parent_ilr_1 0.041 0.0648 -0.0904 0.172</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.59848 1.613712 61.72 2.02e-38 96.32574 1.03e+02
-#&gt; k_parent 0.09870 0.004132 23.88 5.70e-24 0.09066 1.07e-01
-#&gt; k_m1 0.00526 0.000716 7.35 5.76e-09 0.00399 6.93e-03
-#&gt; f_parent_to_m1 0.51448 0.022880 22.49 4.37e-23 0.46808 5.61e-01</div><div class='input'><span class='no'>initials</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"f_parent_to_m1"</span> <span class='kw'>=</span> <span class='fl'>0.5</span>)
+#&gt; parent_0 99.598 1.5702 96.4038 102.793
+#&gt; log_k_parent -2.316 0.0409 -2.3988 -2.233
+#&gt; log_k_m1 -5.248 0.1332 -5.5184 -4.977
+#&gt; f_parent_ilr_1 0.041 0.0631 -0.0875 0.169
+#&gt; sigma 3.126 0.3585 2.3961 3.855</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 99.59848 1.57022 63.43 2.30e-36 96.40384 102.7931
+#&gt; k_parent 0.09870 0.00403 24.47 4.96e-23 0.09082 0.1073
+#&gt; k_m1 0.00526 0.00070 7.51 6.16e-09 0.00401 0.0069
+#&gt; f_parent_to_m1 0.51448 0.02230 23.07 3.10e-22 0.46912 0.5596
+#&gt; sigma 3.12550 0.35852 8.72 2.24e-10 2.39609 3.8549</div><div class='input'><span class='no'>initials</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"f_parent_to_m1"</span> <span class='kw'>=</span> <span class='fl'>0.5</span>)
<span class='no'>transformed</span> <span class='kw'>&lt;-</span> <span class='fu'>transform_odeparms</span>(<span class='no'>initials</span>, <span class='no'>SFO_SFO.ff</span>)
<span class='fu'>backtransform_odeparms</span>(<span class='no'>transformed</span>, <span class='no'>SFO_SFO.ff</span>)</div><div class='output co'>#&gt; f_parent_to_m1
#&gt; 0.5 </div><div class='input'>
@@ -258,15 +261,16 @@ The transformation of sets of formation fractions is fragile, as it supposes
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>),
<span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'>
-<span class='no'>fit.ff.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff.2</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
-<span class='no'>fit.ff.2.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff.2</span>)
+<span class='no'>fit.ff.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff.2</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.ff.2.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff.2</span>)
<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.2.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 84.79 2.9651 78.78 90.80
-#&gt; log_k_parent -2.76 0.0809 -2.92 -2.59
-#&gt; log_k_m1 -4.21 0.1115 -4.44 -3.99</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.2.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 84.7916 2.96505 28.60 3.94e-27 78.7838 90.7994
-#&gt; k_parent 0.0635 0.00514 12.36 5.24e-15 0.0539 0.0748
-#&gt; k_m1 0.0148 0.00165 8.97 4.11e-11 0.0118 0.0185</div></pre>
+#&gt; parent_0 84.79 3.012 78.67 90.91
+#&gt; log_k_parent -2.76 0.082 -2.92 -2.59
+#&gt; log_k_m1 -4.21 0.123 -4.46 -3.96
+#&gt; sigma 8.22 0.943 6.31 10.14</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.2.s</span>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 84.7916 3.01203 28.15 1.92e-25 78.6704 90.913
+#&gt; k_parent 0.0635 0.00521 12.19 2.91e-14 0.0538 0.075
+#&gt; k_m1 0.0148 0.00182 8.13 8.81e-10 0.0115 0.019
+#&gt; sigma 8.2229 0.94323 8.72 1.73e-10 6.3060 10.140</div></pre>
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