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-rw-r--r--.Rbuildignore1
-rw-r--r--DESCRIPTION2
-rw-r--r--NEWS.md2
-rw-r--r--R/mkinfit.R48
-rw-r--r--docs/articles/FOCUS_D.html52
-rw-r--r--docs/articles/FOCUS_D_files/figure-html/plot_2-1.pngbin14288 -> 13739 bytes
-rw-r--r--docs/articles/FOCUS_L.html329
-rw-r--r--docs/articles/mkin.html2
-rw-r--r--docs/articles/twa.html2
-rw-r--r--docs/articles/web_only/FOCUS_Z.html221
-rw-r--r--docs/articles/web_only/FOCUS_Z_files/figure-html/FOCUS_2006_Z_fits_11b-1.pngbin22316 -> 20999 bytes
-rw-r--r--docs/articles/web_only/NAFTA_examples.html705
-rw-r--r--docs/articles/web_only/benchmarks.html24
-rw-r--r--docs/articles/web_only/compiled_models.html14
-rw-r--r--docs/news/index.html6
-rw-r--r--docs/reference/NAFTA_SOP_2015.html32
-rw-r--r--docs/reference/NAFTA_SOP_Attachment.html32
-rw-r--r--docs/reference/logLik.mkinfit.html2
-rw-r--r--docs/reference/logistic.solution.html18
-rw-r--r--docs/reference/mccall81_245T.html45
-rw-r--r--docs/reference/mkinfit.html339
-rw-r--r--docs/reference/mkinmod.html2
-rw-r--r--docs/reference/mkinparplot-1.pngbin16549 -> 17306 bytes
-rw-r--r--docs/reference/mkinparplot.html2
-rw-r--r--docs/reference/mkinpredict.html8
-rw-r--r--docs/reference/mmkin.html4
-rw-r--r--docs/reference/nafta.html32
-rw-r--r--docs/reference/summary.mkinfit.html30
-rw-r--r--docs/reference/test_data_from_UBA_2014.html54
-rw-r--r--docs/reference/transform_odeparms.html90
-rw-r--r--vignettes/mkin_benchmarks.rdabin794 -> 795 bytes
31 files changed, 1025 insertions, 1073 deletions
diff --git a/.Rbuildignore b/.Rbuildignore
index 822bafab..ab124258 100644
--- a/.Rbuildignore
+++ b/.Rbuildignore
@@ -22,6 +22,7 @@
^vignettes/figure
^vignettes/FOCUS_Z.tex$
^vignettes/mkin.tex$
+^vignettes/mkin_benchmarks.rda$
^vignettes/web_only/mkin_benchmarks.rda$
^mkin_.*\.tar\.gz
^mkin.tar$
diff --git a/DESCRIPTION b/DESCRIPTION
index ba8e8035..0fcc052c 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -2,7 +2,7 @@ Package: mkin
Type: Package
Title: Kinetic Evaluation of Chemical Degradation Data
Version: 0.9.49.4
-Date: 2019-04-09
+Date: 2019-05-07
Authors@R: c(person("Johannes", "Ranke", role = c("aut", "cre", "cph"),
email = "jranke@uni-bremen.de",
comment = c(ORCID = "0000-0003-4371-6538")),
diff --git a/NEWS.md b/NEWS.md
index e95a8284..ad6e9a87 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -1,4 +1,4 @@
-# mkin 0.9.49.4 (2019-04-09)
+# mkin 0.9.49.4 (2019-05-07)
- 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
- The argument 'reweight.method' to mkinfit and mmkin is now obsolete, use 'error_model' instead
diff --git a/R/mkinfit.R b/R/mkinfit.R
index cca75690..664419be 100644
--- a/R/mkinfit.R
+++ b/R/mkinfit.R
@@ -280,8 +280,8 @@ mkinfit <- function(mkinmod, observed,
assign("calls", calls + 1, inherits = TRUE) # Increase the model solution counter
P.orig <- P
- # Trace parameter values if requested
- if(trace_parms) cat(P, "\n")
+ # Trace parameter values if requested and if we are actually optimising
+ if(trace_parms & update_data) cat(P, "\n")
# If we do a local optimisation of the error model, the initials
# for the state variabels and the parameters are given as 'local'
@@ -343,23 +343,23 @@ mkinfit <- function(mkinmod, observed,
data_log_lik <- merge(observed[c("name", "time", "value", "std")], out_long,
by = c("name", "time"), suffixes = c(".observed", ".predicted"))
- if (OLS) {
- nlogLik <- with(data_log_lik, sum((value.observed - value.predicted)^2))
- } else {
- nlogLik <- - with(data_log_lik,
- sum(dnorm(x = value.observed, mean = value.predicted, sd = std, log = TRUE)))
- }
-
- # We need the data at optimised parameters
+ # We only update likelihood and data during the optimisation, not during hessian calculations
if (update_data) {
+ if (OLS) {
+ nlogLik <- with(data_log_lik, sum((value.observed - value.predicted)^2))
+ } else {
+ nlogLik <- - with(data_log_lik,
+ sum(dnorm(x = value.observed, mean = value.predicted, sd = std, log = TRUE)))
+ }
+
assign("out_predicted", out_long, inherits = TRUE)
assign("data_errmod", data_log_lik, inherits = TRUE)
- }
- if (nlogLik < nlogLik.current) {
- assign("nlogLik.current", nlogLik, inherits = TRUE)
- if (!quiet) cat(ifelse(OLS, "Sum of squared residuals", "Negative log-likelihood"),
- " at call ", calls, ": ", nlogLik.current, "\n", sep = "")
+ if (nlogLik < nlogLik.current) {
+ assign("nlogLik.current", nlogLik, inherits = TRUE)
+ if (!quiet) cat(ifelse(OLS, "Sum of squared residuals", "Negative log-likelihood"),
+ " at call ", calls, ": ", nlogLik.current, "\n", sep = "")
+ }
}
return(nlogLik)
}
@@ -427,7 +427,7 @@ mkinfit <- function(mkinmod, observed,
if (!quiet) message("Ordinary least squares optimisation")
parms.start <- c(state.ini.optim, transparms.optim)
fit.ols <- nlminb(parms.start, nlogLik, control = control,
- lower = lower[names(parms.start)],
+ lower = lower[names(parms.start)],
upper = upper[names(parms.start)], OLS = TRUE, ...)
if (err_mod == "const") {
@@ -443,14 +443,14 @@ mkinfit <- function(mkinmod, observed,
# parameters
if (!quiet) message("Optimising the error model")
fit.err <- nlminb(errparms, nlogLik, control = control,
- lower = lower[names(errparms)],
+ lower = lower[names(errparms)],
upper = upper[names(errparms)],
local = fit.ols$par, ...)
errparms.tmp <- fit.err$par
if (!quiet) message("Optimising the complete model")
- parms.start <- c(state.ini.optim, transparms.optim, errparms.tmp)
+ parms.start <- c(fit.ols$par, errparms.tmp)
fit <- nlminb(parms.start, nlogLik,
- lower = lower[names(parms.start)],
+ lower = lower[names(parms.start)],
upper = upper[names(parms.start)],
control = control, ...)
fit$logLik <- - nlogLik.current
@@ -461,7 +461,7 @@ mkinfit <- function(mkinmod, observed,
if (err_mod == "const") {
fit$par <- c(fit$par, sigma = sigma_mle)
}
- fit$hessian <- try(hessian(nlogLik, fit$par, update_data = FALSE), silent = TRUE)
+ fit$hessian <- try(numDeriv::hessian(nlogLik, fit$par, update_data = FALSE), silent = TRUE)
# Backtransform parameters
bparms.optim = backtransform_odeparms(fit$par, mkinmod,
@@ -470,7 +470,7 @@ mkinfit <- function(mkinmod, observed,
bparms.fixed = c(state.ini.fixed, parms.fixed)
bparms.all = c(bparms.optim, parms.fixed)
- fit$hessian_notrans <- try(hessian(nlogLik, c(bparms.optim, fit$par[names(errparms)]),
+ fit$hessian_notrans <- try(numDeriv::hessian(nlogLik, c(bparms.optim, fit$par[names(errparms)]),
trans = FALSE, update_data = FALSE), silent = TRUE)
})
@@ -478,7 +478,7 @@ mkinfit <- function(mkinmod, observed,
fit$warning = paste0("Optimisation did not converge:\n", fit$message)
warning(fit$warning)
} else {
- if(!quiet) cat("Optimisation successfully terminated.\n")
+ if(!quiet) message("Optimisation successfully terminated.\n")
}
# We need to return some more data for summary and plotting
@@ -657,7 +657,7 @@ summary.mkinfit <- function(object, data = TRUE, distimes = TRUE, alpha = 0.05,
rownames(Corr) <- colnames(Corr) <- rownames(ans$par)
ans$Corr <- Corr
} else {
- warning("Could not estimate covariance matrix; singular system.")
+ warning("Could not calculate correlation; no covariance matrix")
}
}
@@ -720,7 +720,7 @@ print.summary.mkinfit <- function(x, digits = max(3, getOption("digits") - 3), .
if (!is.null(x$cov.unscaled)){
print(x$Corr, digits = digits, ...)
} else {
- cat("Could not estimate covariance matrix; singular system.")
+ cat("No covariance matrix")
}
}
diff --git a/docs/articles/FOCUS_D.html b/docs/articles/FOCUS_D.html
index ae895cc3..482e48f2 100644
--- a/docs/articles/FOCUS_D.html
+++ b/docs/articles/FOCUS_D.html
@@ -88,7 +88,7 @@
<h1>Example evaluation of FOCUS Example Dataset D</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>FOCUS_D.Rmd</code></div>
@@ -163,13 +163,17 @@
<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="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>
+<pre><code>## Warning in summary.mkinfit(object): Could not calculate correlation; no
+## covariance matrix</code></pre>
<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="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>
+<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>(fit)</a></code></pre></div>
+<pre><code>## Warning in summary.mkinfit(fit): Could not calculate correlation; no
+## covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:45 2019
-## Date of summary: Fri May 3 19:08:46 2019
+## Date of fit: Tue May 7 08:09:11 2019
+## Date of summary: Tue May 7 08:09:11 2019
##
## Equations:
## d_parent/dt = - k_parent_sink * parent - k_parent_m1 * parent
@@ -177,7 +181,7 @@
##
## Model predictions using solution type deSolve
##
-## Fitted using 389 model solutions performed in 0.983 s
+## Fitted using 153 model solutions performed in 0.398 s
##
## Error model:
## Constant variance
@@ -203,37 +207,25 @@
## m1_0 0 state
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## 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
+## Estimate Std. Error Lower Upper
+## parent_0 99.600 NA NA NA
+## log_k_parent_sink -3.038 NA NA NA
+## log_k_parent_m1 -2.980 NA NA NA
+## log_k_m1_sink -5.248 NA NA NA
+## sigma 3.126 NA NA NA
##
## Parameter correlation:
-## 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 1.164e-09 -8.908e-10 1.652e-08
-## log_k_m1_sink sigma
-## parent_0 -1.688e-01 1.164e-09
-## log_k_parent_sink -6.252e-01 -8.908e-10
-## log_k_parent_m1 4.731e-01 1.652e-08
-## log_k_m1_sink 1.000e+00 -1.340e-10
-## sigma -1.340e-10 1.000e+00
-##
+## No covariance matrix
## 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 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
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 99.600000 NA NA NA NA
+## k_parent_sink 0.047920 NA NA NA NA
+## k_parent_m1 0.050780 NA NA NA NA
+## k_m1_sink 0.005261 NA NA NA NA
+## sigma 3.126000 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
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 64da1d2e..577869e8 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 9507139c..23fa68c6 100644
--- a/docs/articles/FOCUS_L.html
+++ b/docs/articles/FOCUS_L.html
@@ -88,7 +88,7 @@
<h1>Example evaluation of FOCUS Laboratory Data L1 to L3</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>FOCUS_L.Rmd</code></div>
@@ -112,17 +112,19 @@
<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>## Warning in summary.mkinfit(m.L1.SFO): Could not calculate correlation; no
+## covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:47 2019
-## Date of summary: Fri May 3 19:08:47 2019
+## Date of fit: Tue May 7 08:09:13 2019
+## Date of summary: Tue May 7 08:09:13 2019
##
## Equations:
## d_parent/dt = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted using 133 model solutions performed in 0.281 s
+## Fitted using 41 model solutions performed in 0.088 s
##
## Error model:
## Constant variance
@@ -143,25 +145,21 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## 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
+## Estimate Std. Error Lower Upper
+## parent_0 92.470 NA NA NA
+## log_k_parent_sink -2.347 NA NA NA
+## sigma 2.780 NA NA NA
##
## Parameter correlation:
-## 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
-##
+## No covariance matrix
## 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 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
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 92.47000 NA NA NA NA
+## k_parent_sink 0.09561 NA NA NA NA
+## sigma 2.78000 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
@@ -197,26 +195,24 @@
## 30 parent 2.9 5.251 -2.3513
## 30 parent 4.0 5.251 -1.2513</code></pre>
<p>A plot of the fit is obtained with the plot function for mkinfit objects.</p>
-<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>(m.L1.SFO, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="st">"FOCUS L1 - SFO"</span>)</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/graphics/topics/plot">plot</a></span>(m.L1.SFO, <span class="dt">show_errmin =</span> <span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="st">"FOCUS L1 - SFO"</span>)</a></code></pre></div>
<p><img src="FOCUS_L_files/figure-html/unnamed-chunk-4-1.png" width="576"></p>
<p>The residual plot can be easily obtained by</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="../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>
+<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/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></code></pre></div>
+<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" 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>
+<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/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="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>
+<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>(m.L1.FOMC, <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## Warning in summary.mkinfit(m.L1.FOMC, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:50 2019
-## Date of summary: Fri May 3 19:08:50 2019
+## Date of fit: Tue May 7 08:09:14 2019
+## Date of summary: Tue May 7 08:09:14 2019
##
##
## Warning: Optimisation did not converge:
@@ -228,7 +224,7 @@
##
## Model predictions using solution type analytical
##
-## Fitted using 899 model solutions performed in 1.885 s
+## Fitted using 743 model solutions performed in 1.558 s
##
## Error model:
## Constant variance
@@ -251,28 +247,23 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 92.47 1.2800 89.730 95.220
-## log_alpha 10.58 NaN NaN NaN
-## log_beta 12.93 NaN NaN NaN
-## sigma 2.78 0.4507 1.813 3.747
+## Estimate Std. Error Lower Upper
+## parent_0 92.47 NA NA NA
+## log_alpha 10.58 NA NA NA
+## log_beta 12.93 NA NA NA
+## sigma 2.78 NA NA NA
##
## Parameter correlation:
-## parent_0 log_alpha log_beta sigma
-## parent_0 1.00000 NaN NaN 0.01452
-## log_alpha NaN 1 NaN NaN
-## log_beta NaN NaN 1 NaN
-## sigma 0.01452 NaN NaN 1.00000
-##
+## No covariance matrix
## 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 72.13000 1.052e-19 89.730 95.220
-## alpha 39440.00 0.02397 4.906e-01 NA NA
-## beta 412500.00 0.02397 4.906e-01 NA NA
-## sigma 2.78 6.00000 1.628e-05 1.813 3.747
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 92.47 NA NA NA NA
+## alpha 39440.00 NA NA NA NA
+## beta 412500.00 NA NA NA NA
+## sigma 2.78 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
@@ -290,19 +281,19 @@
<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="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 class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb13-1" 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="cb13-2" 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="cb13-3" 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="cb13-4" 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="cb13-5" 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="cb13-6" 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="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>
+<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" 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="cb14-2" 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="cb14-3" 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>
@@ -312,22 +303,24 @@
<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="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>
+<div class="sourceCode" id="cb15"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb15-1" 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="cb15-2" 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="cb15-3" 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="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>
+<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/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>## Warning in summary.mkinfit(m.L2.FOMC, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:51 2019
-## Date of summary: Fri May 3 19:08:51 2019
+## Date of fit: Tue May 7 08:09:15 2019
+## Date of summary: Tue May 7 08:09:15 2019
##
## Equations:
## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted using 239 model solutions performed in 0.486 s
+## Fitted using 83 model solutions performed in 0.169 s
##
## Error model:
## Constant variance
@@ -350,28 +343,23 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## 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
+## Estimate Std. Error Lower Upper
+## parent_0 93.7700 NA NA NA
+## log_alpha 0.3180 NA NA NA
+## log_beta 0.2102 NA NA NA
+## sigma 2.2760 NA NA NA
##
## Parameter correlation:
-## parent_0 log_alpha log_beta sigma
-## parent_0 1.000e+00 -1.151e-01 -2.085e-01 -7.637e-09
-## log_alpha -1.151e-01 1.000e+00 9.741e-01 -1.617e-07
-## log_beta -2.085e-01 9.741e-01 1.000e+00 -1.387e-07
-## sigma -7.637e-09 -1.617e-07 -1.387e-07 1.000e+00
-##
+## No covariance matrix
## 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 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
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 93.770 NA NA NA NA
+## alpha 1.374 NA NA NA NA
+## beta 1.234 NA NA NA NA
+## sigma 2.276 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
@@ -392,10 +380,12 @@
<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="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>## Warning in summary.mkinfit(m.L2.DFOP, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:52 2019
-## Date of summary: Fri May 3 19:08:52 2019
+## Date of fit: Tue May 7 08:09:16 2019
+## Date of summary: Tue May 7 08:09:16 2019
##
## Equations:
## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) *
@@ -404,7 +394,7 @@
##
## Model predictions using solution type analytical
##
-## Fitted using 572 model solutions performed in 1.193 s
+## Fitted using 336 model solutions performed in 0.708 s
##
## Error model:
## Constant variance
@@ -429,31 +419,25 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## parent_0 93.9500 9.998e-01 91.5900 96.3100
-## log_k1 3.1370 2.376e+03 -5616.0000 5622.0000
-## 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
+## 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
+## sigma 1.4140 NA NA NA
##
## Parameter correlation:
-## parent_0 log_k1 log_k2 g_ilr sigma
-## parent_0 1.000e+00 5.155e-07 2.371e-09 2.665e-01 -6.849e-09
-## log_k1 5.155e-07 1.000e+00 8.434e-05 -1.659e-04 -7.791e-06
-## log_k2 2.371e-09 8.434e-05 1.000e+00 -7.903e-01 -1.262e-08
-## g_ilr 2.665e-01 -1.659e-04 -7.903e-01 1.000e+00 3.241e-08
-## sigma -6.849e-09 -7.791e-06 -1.262e-08 3.241e-08 1.000e+00
-##
+## No covariance matrix
## 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 9.397e+01 2.036e-12 91.5900 96.3100
-## k1 23.0400 4.303e-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
+## 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
+## sigma 1.4140 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
@@ -470,18 +454,18 @@
<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="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 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>_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="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">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="cb23-4" 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="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>
+<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.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="cb24-3" 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="cb24-4" 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>
@@ -490,11 +474,13 @@
<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="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>
+<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.L3[[<span class="st">"DFOP"</span>, <span class="dv">1</span>]])</a></code></pre></div>
+<pre><code>## Warning in summary.mkinfit(mm.L3[["DFOP", 1]]): Could not calculate
+## correlation; no covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:54 2019
-## Date of summary: Fri May 3 19:08:54 2019
+## Date of fit: Tue May 7 08:09:17 2019
+## Date of summary: Tue May 7 08:09:17 2019
##
## Equations:
## d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) *
@@ -503,7 +489,7 @@
##
## Model predictions using solution type analytical
##
-## Fitted using 373 model solutions performed in 0.775 s
+## Fitted using 137 model solutions performed in 0.287 s
##
## Error model:
## Constant variance
@@ -528,31 +514,25 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## 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
+## Estimate Std. Error Lower Upper
+## parent_0 97.7500 NA NA NA
+## log_k1 -0.6612 NA NA NA
+## log_k2 -4.2860 NA NA NA
+## g_ilr -0.1229 NA NA NA
+## sigma 1.0170 NA NA NA
##
## Parameter correlation:
-## parent_0 log_k1 log_k2 g_ilr sigma
-## parent_0 1.000e+00 1.732e-01 2.282e-02 4.009e-01 -6.872e-07
-## log_k1 1.732e-01 1.000e+00 4.945e-01 -5.809e-01 3.200e-07
-## log_k2 2.282e-02 4.945e-01 1.000e+00 -6.812e-01 7.673e-07
-## g_ilr 4.009e-01 -5.809e-01 -6.812e-01 1.000e+00 -8.731e-07
-## sigma -6.872e-07 3.200e-07 7.673e-07 -8.731e-07 1.000e+00
-##
+## No covariance matrix
## 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 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
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 97.75000 NA NA NA NA
+## k1 0.51620 NA NA NA NA
+## k2 0.01376 NA NA NA NA
+## g 0.45660 NA NA NA NA
+## sigma 1.01700 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
@@ -573,7 +553,7 @@
## 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="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>
+<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" 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>
@@ -583,30 +563,32 @@
<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="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>
+<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb29-1" 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="cb29-2" 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="cb29-3" 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="cb29-4" 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="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>
+<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb30-1" title="1"><span class="co"># Only use one core here, not to offend the CRAN checks</span></a>
+<a class="sourceLine" id="cb30-2" 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="cb30-3" 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="cb30-4" title="4"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a>
+<a class="sourceLine" id="cb30-5" 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="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>
+<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">"SFO"</span>, <span class="dv">1</span>]], <span class="dt">data =</span> <span class="ot">FALSE</span>)</a></code></pre></div>
+<pre><code>## Warning in summary.mkinfit(mm.L4[["SFO", 1]], data = FALSE): Could not
+## calculate correlation; no covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:55 2019
-## Date of summary: Fri May 3 19:08:55 2019
+## Date of fit: Tue May 7 08:09:17 2019
+## Date of summary: Tue May 7 08:09:18 2019
##
## Equations:
## d_parent/dt = - k_parent_sink * parent
##
## Model predictions using solution type analytical
##
-## Fitted using 142 model solutions performed in 0.29 s
+## Fitted using 50 model solutions performed in 0.105 s
##
## Error model:
## Constant variance
@@ -627,25 +609,21 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## Estimate Std. Error Lower Upper
-## 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
+## Estimate Std. Error Lower Upper
+## parent_0 96.440 NA NA NA
+## log_k_parent_sink -5.030 NA NA NA
+## sigma 3.162 NA NA NA
##
## Parameter correlation:
-## parent_0 log_k_parent_sink sigma
-## parent_0 1.000e+00 5.938e-01 3.440e-07
-## log_k_parent_sink 5.938e-01 1.000e+00 5.885e-07
-## sigma 3.440e-07 5.885e-07 1.000e+00
-##
+## No covariance matrix
## 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 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
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 96.440000 NA NA NA NA
+## k_parent_sink 0.006541 NA NA NA NA
+## sigma 3.162000 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
@@ -659,18 +637,20 @@
## Estimated disappearance times:
## DT50 DT90
## parent 106 352</code></pre>
-<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>
+<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>(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>## Warning in summary.mkinfit(mm.L4[["FOMC", 1]], data = FALSE): Could not
+## calculate correlation; no covariance matrix</code></pre>
<pre><code>## mkin version used for fitting: 0.9.49.4
## R version used for fitting: 3.6.0
-## Date of fit: Fri May 3 19:08:55 2019
-## Date of summary: Fri May 3 19:08:55 2019
+## Date of fit: Tue May 7 08:09:18 2019
+## Date of summary: Tue May 7 08:09:18 2019
##
## Equations:
## d_parent/dt = - (alpha/beta) * 1/((time/beta) + 1) * parent
##
## Model predictions using solution type analytical
##
-## Fitted using 224 model solutions performed in 0.451 s
+## Fitted using 68 model solutions performed in 0.139 s
##
## Error model:
## Constant variance
@@ -693,28 +673,23 @@
## None
##
## Optimised, transformed parameters with symmetric confidence intervals:
-## 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
+## Estimate Std. Error Lower Upper
+## parent_0 99.1400 NA NA NA
+## log_alpha -0.3506 NA NA NA
+## log_beta 4.1740 NA NA NA
+## sigma 1.8300 NA NA NA
##
## Parameter correlation:
-## parent_0 log_alpha log_beta sigma
-## parent_0 1.000e+00 -4.696e-01 -5.543e-01 -2.563e-07
-## log_alpha -4.696e-01 1.000e+00 9.889e-01 4.066e-08
-## log_beta -5.543e-01 9.889e-01 1.000e+00 6.818e-08
-## sigma -2.563e-07 4.066e-08 6.818e-08 1.000e+00
-##
+## No covariance matrix
## 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 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
+## Estimate t value Pr(&gt;t) Lower Upper
+## parent_0 99.1400 NA NA NA NA
+## alpha 0.7042 NA NA NA NA
+## beta 64.9800 NA NA NA NA
+## sigma 1.8300 NA NA NA NA
##
## FOCUS Chi2 error levels in percent:
## err.min n.optim df
diff --git a/docs/articles/mkin.html b/docs/articles/mkin.html
index b0af83ce..271da77e 100644
--- a/docs/articles/mkin.html
+++ b/docs/articles/mkin.html
@@ -88,7 +88,7 @@
<h1>Introduction to mkin</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>mkin.Rmd</code></div>
diff --git a/docs/articles/twa.html b/docs/articles/twa.html
index 7f68d39e..9f08036a 100644
--- a/docs/articles/twa.html
+++ b/docs/articles/twa.html
@@ -88,7 +88,7 @@
<h1>Calculation of time weighted average concentrations with mkin</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</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 9e64ae3a..c4c69b8f 100644
--- a/docs/articles/web_only/FOCUS_Z.html
+++ b/docs/articles/web_only/FOCUS_Z.html
@@ -88,7 +88,7 @@
<h1>Example evaluation of FOCUS dataset Z</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>FOCUS_Z.Rmd</code></div>
@@ -131,86 +131,94 @@
<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="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 3.393176 2.8591e+01 6.4352e-21 91.66556 102.3642
-## k_Z0_sink 7.2231e-10 0.225254 3.2067e-09 5.0000e-01 0.00000 Inf
-## k_Z0_Z1 2.2360e+00 0.159134 1.4051e+01 1.1369e-13 1.95303 2.5600
-## k_Z1_sink 4.8212e-01 0.065454 7.3658e+00 5.1186e-08 0.40341 0.5762
-## sigma 4.8041e+00 0.637618 7.5345e+00 3.4431e-08 3.52677 6.0815</code></pre>
+<pre><code>## Warning in summary.mkinfit(m.Z.2a, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 9.7015e+01 NA NA NA NA NA
+## k_Z0_sink 7.2231e-10 NA NA NA NA NA
+## k_Z0_Z1 2.2360e+00 NA NA NA NA NA
+## k_Z1_sink 4.8212e-01 NA NA NA NA NA
+## sigma 4.8041e+00 NA NA NA NA NA</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="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>
+<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" 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="cb10-2" 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="cb10-3" 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="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>
+<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" 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>
+<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="../../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="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>
+<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.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 calculate
+## correlation; no covariance matrix</code></pre>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 97.01488 NA NA NA NA NA
+## k_Z0 2.23601 NA NA NA NA NA
+## k_Z1 0.48212 NA NA NA NA NA
+## f_Z0_to_Z1 1.00000 NA NA NA NA NA
+## sigma 4.80411 NA NA NA NA NA</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="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>
+<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb18-1" 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="cb18-2" 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="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>
+<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb20-1" 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>
+<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="../../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="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>
+<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/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>## Warning in summary.mkinfit(m.Z.3, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 97.01488 NA NA NA NA NA
+## k_Z0 2.23601 NA NA NA NA NA
+## k_Z1 0.48212 NA NA NA NA NA
+## sigma 4.80411 NA NA NA NA NA</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="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>
+<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb26-1" 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="cb26-2" 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="cb26-3" 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="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>
+<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb28-1" 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>
+<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="../../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="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>
+<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb31-1" 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="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">"SFO"</span>),</a>
+<a class="sourceLine" id="cb31-5" 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="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>
+<div class="sourceCode" id="cb33"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb33-1" 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="cb33-2" title="2"> <span class="dt">parms.ini =</span> m.Z<span class="fl">.5</span><span class="op">$</span>bparms.ode,</a>
+<a class="sourceLine" id="cb33-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
<pre><code>## Warning in mkinfit(Z.FOCUS, FOCUS_2006_Z_mkin, parms.ini = m.Z.
## 5$bparms.ode, : Observations with value of zero were removed from the data</code></pre>
-<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb32-1" 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="cb35"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb35-1" 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="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/base/topics/summary">summary</a></span>(m.Z.FOCUS, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
-<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
-## Z0_0 96.838607 1.994273 48.5584 4.0283e-42 92.826626 100.850589
-## k_Z0 2.215405 0.118459 18.7018 1.0415e-23 1.989465 2.467003
-## k_Z1 0.478300 0.028257 16.9267 6.2408e-22 0.424701 0.538662
-## k_Z2 0.451618 0.042138 10.7177 1.6308e-14 0.374328 0.544867
-## k_Z3 0.058693 0.015246 3.8498 1.7806e-04 0.034805 0.098978
-## f_Z2_to_Z3 0.471508 0.058352 8.0804 9.6648e-11 0.357735 0.588320
-## sigma 3.984431 0.383402 10.3923 4.5575e-14 3.213126 4.755736</code></pre>
-<div class="sourceCode" id="cb35"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb35-1" title="1"><span class="kw"><a href="../../reference/endpoints.html">endpoints</a></span>(m.Z.FOCUS)</a></code></pre></div>
+<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb36-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.FOCUS, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>bpar</a></code></pre></div>
+<pre><code>## Warning in summary.mkinfit(m.Z.FOCUS, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
+<pre><code>## Estimate se_notrans t value Pr(&gt;t) Lower Upper
+## Z0_0 96.838607 NA NA NA NA NA
+## k_Z0 2.215405 NA NA NA NA NA
+## k_Z1 0.478300 NA NA NA NA NA
+## k_Z2 0.451618 NA NA NA NA NA
+## k_Z3 0.058693 NA NA NA NA NA
+## f_Z2_to_Z3 0.471508 NA NA NA NA NA
+## sigma 3.984431 NA NA NA NA NA</code></pre>
+<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb39-1" 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
## 0.47151 0.52849
@@ -231,102 +239,77 @@
<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="cb37"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb37-1" 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="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>, <span class="st">"Z3"</span>),</a>
-<a class="sourceLine" id="cb37-4" 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="cb41"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb41-1" 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="cb41-2" 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="cb41-3" 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="cb41-4" 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="cb39"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb39-1" 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>
+<div class="sourceCode" id="cb43"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb43-1" 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="cb41"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb41-1" 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>
+<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="../../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="cb42"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb42-1" 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">$</span>cov.unscaled</a></code></pre></div>
-<pre><code>## Z0_0 log_k_Z0_Z1 log_k_Z1_Z2 log_k_Z2_sink
-## Z0_0 3.8375e+00 5.4918e-03 3.0584e-02 1.2969e-01
-## log_k_Z0_Z1 5.4918e-03 2.7613e-03 -1.8820e-04 2.6634e-04
-## log_k_Z1_Z2 3.0584e-02 -1.8820e-04 3.3807e-03 3.2177e-03
-## log_k_Z2_sink 1.2969e-01 2.6634e-04 3.2177e-03 3.4256e-02
-## log_k_Z2_Z3_free -2.4223e-02 -2.6169e-04 -1.1845e-03 -8.1134e-03
-## log_k_Z3_free_sink -6.5467e-02 -4.0815e-04 -3.2978e-03 -3.6010e-02
-## log_k_Z3_free_bound -6.0659e-02 -4.4768e-04 -3.0588e-03 -3.9074e-02
-## log_k_Z3_bound_free 5.2844e-01 4.5458e-03 7.9800e-03 4.6274e-02
-## sigma 2.0366e-10 -3.4658e-10 8.9910e-11 -2.5946e-10
-## log_k_Z2_Z3_free log_k_Z3_free_sink
-## Z0_0 -2.4223e-02 -6.5467e-02
-## log_k_Z0_Z1 -2.6169e-04 -4.0815e-04
-## log_k_Z1_Z2 -1.1845e-03 -3.2978e-03
-## log_k_Z2_sink -8.1134e-03 -3.6010e-02
-## log_k_Z2_Z3_free 1.5500e-02 2.1583e-02
-## log_k_Z3_free_sink 2.1583e-02 7.5705e-02
-## log_k_Z3_free_bound 2.5836e-02 1.1964e-01
-## log_k_Z3_bound_free 5.2534e-02 2.9441e-01
-## sigma 1.3063e-10 3.4170e-10
-## log_k_Z3_free_bound log_k_Z3_bound_free sigma
-## Z0_0 -6.0659e-02 5.2844e-01 2.0366e-10
-## log_k_Z0_Z1 -4.4768e-04 4.5458e-03 -3.4658e-10
-## log_k_Z1_Z2 -3.0588e-03 7.9800e-03 8.9910e-11
-## log_k_Z2_sink -3.9074e-02 4.6274e-02 -2.5946e-10
-## log_k_Z2_Z3_free 2.5836e-02 5.2534e-02 1.3063e-10
-## log_k_Z3_free_sink 1.1964e-01 2.9441e-01 3.4170e-10
-## log_k_Z3_free_bound 6.5902e-01 5.4737e+00 -6.7704e-10
-## log_k_Z3_bound_free 5.4737e+00 2.8722e+08 7.2421e-02
-## sigma -6.7704e-10 7.2421e-02 1.4170e-01</code></pre>
+<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb46-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/summary">summary</a></span>(m.Z.mkin<span class="fl">.1</span>, <span class="dt">data =</span> <span class="ot">FALSE</span>)<span class="op">$</span>cov.unscaled</a></code></pre></div>
+<pre><code>## Warning in summary.mkinfit(m.Z.mkin.1, data = FALSE): Could not calculate
+## correlation; no covariance matrix</code></pre>
+<pre><code>## NULL</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="cb44"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb44-1" 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="cb44-2" 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="cb44-3" 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="cb49"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb49-1" 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="cb49-2" 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="cb49-3" 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="cb46"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb46-1" 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>
+<div class="sourceCode" id="cb51"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb51-1" 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="cb48"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb48-1" 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>
+<div class="sourceCode" id="cb53"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb53-1" 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="cb49"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb49-1" 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="cb49-2" 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="cb49-3" 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="cb49-4" 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="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" 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="cb54-2" 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="cb54-3" 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="cb54-4" 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="cb51"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb51-1" 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="cb51-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.3</span><span class="op">$</span>bparms.ode,</a>
-<a class="sourceLine" id="cb51-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb56"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb56-1" title="1">m.Z.mkin<span class="fl">.4</span> &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.4</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
+<a class="sourceLine" id="cb56-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.3</span><span class="op">$</span>bparms.ode,</a>
+<a class="sourceLine" id="cb56-3" 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="cb53"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb53-1" 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>
+<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="../../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="cb54"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb54-1" 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="cb54-2" 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="cb54-3" 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="cb54-4" 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="cb59"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb59-1" 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="cb59-2" 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="cb59-3" 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="cb59-4" 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="cb56"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb56-1" 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="cb56-2" 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="cb56-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb61"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb61-1" 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="cb61-2" title="2"> <span class="dt">parms.ini =</span> m.Z.mkin<span class="fl">.4</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">4</span>],</a>
+<a class="sourceLine" id="cb61-3" title="3"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
<pre><code>## Warning in mkinfit(Z.mkin.5, FOCUS_2006_Z_mkin, parms.ini = m.Z.mkin.
## 4$bparms.ode[1:4], : Observations with value of zero were removed from the
## data</code></pre>
-<div class="sourceCode" id="cb58"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb58-1" 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>
+<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/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="cb59"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb59-1" 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="cb59-2" 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">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">7</span>],</a>
-<a class="sourceLine" id="cb59-3" title="3"> <span class="dt">k_Z3_bound_free =</span> <span class="dv">0</span>),</a>
-<a class="sourceLine" id="cb59-4" title="4"> <span class="dt">fixed_parms =</span> <span class="st">"k_Z3_bound_free"</span>,</a>
-<a class="sourceLine" id="cb59-5" title="5"> <span class="dt">quiet =</span> <span class="ot">TRUE</span>)</a></code></pre></div>
+<div class="sourceCode" id="cb64"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb64-1" title="1">m.Z.mkin<span class="fl">.5</span>a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/mkinfit.html">mkinfit</a></span>(Z.mkin<span class="fl">.5</span>, FOCUS_<span class="dv">2006</span>_Z_mkin,</a>
+<a class="sourceLine" id="cb64-2" title="2"> <span class="dt">parms.ini =</span> <span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/c">c</a></span>(m.Z.mkin<span class="fl">.5</span><span class="op">$</span>bparms.ode[<span class="dv">1</span><span class="op">:</span><span class="dv">7</span>],</a>
+<a class="sourceLine" id="cb64-3" title="3"> <span class="dt">k_Z3_bound_free =</span> <span class="dv">0</span>),</a>
+<a class="sourceLine" id="cb64-4" title="4"> <span class="dt">fixed_parms =</span> <span class="st">"k_Z3_bound_free"</span>,</a>
+<a class="sourceLine" id="cb64-5" 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="cb61"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb61-1" 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>
+<div class="sourceCode" id="cb66"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb66-1" 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="cb62"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb62-1" 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="cb67"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb67-1" 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>
+<pre><code>## Warning in summary.mkinfit(object): Could not calculate correlation; no
+## covariance matrix</code></pre>
<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="cb63"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb63-1" 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="cb69"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb69-1" 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
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 8188c4cf..4304f6d2 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
Binary files differ
diff --git a/docs/articles/web_only/NAFTA_examples.html b/docs/articles/web_only/NAFTA_examples.html
index 04a60db6..f6f7c60a 100644
--- a/docs/articles/web_only/NAFTA_examples.html
+++ b/docs/articles/web_only/NAFTA_examples.html
@@ -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">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>NAFTA_examples.Rmd</code></div>
@@ -111,11 +111,19 @@
<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p5a-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/print">print</a></span>(p5a)</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"><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
@@ -125,25 +133,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 95.8401 NA NA NA
+## k_parent_sink 0.0102 NA NA NA
+## sigma 4.8230 NA NA NA
##
## $IORE
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.01e+02 NA NA NA
+## k__iore_parent_sink 1.54e-05 NA NA NA
+## N_parent 2.57e+00 NA NA NA
+## sigma 1.68e+00 NA NA NA
##
## $DFOP
-## 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 2.86e-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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.99e+01 NA NA NA
+## k1 2.67e-02 NA NA NA
+## k2 2.86e-12 NA NA NA
+## g 6.47e-01 NA NA NA
+## sigma 1.27e+00 NA NA NA
##
##
## DTx values:
@@ -158,12 +166,20 @@
<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="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>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p5b-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/print">print</a></span>(p5b)</a></code></pre></div>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 94.81123 10.10936 7.55871
@@ -173,25 +189,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 96.497 NA NA NA
+## k_parent_sink 0.008 NA NA NA
+## sigma 2.295 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.85e+01 NA NA NA
+## k__iore_parent_sink 1.53e-04 NA NA NA
+## N_parent 1.94e+00 NA NA NA
+## sigma 7.49e-01 NA NA NA
##
## $DFOP
-## 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 1.16e-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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.84e+01 NA NA NA
+## k1 1.55e-02 NA NA NA
+## k2 1.16e-11 NA NA NA
+## g 6.89e-01 NA NA NA
+## sigma 6.48e-01 NA NA NA
##
##
## DTx values:
@@ -206,12 +222,20 @@
<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="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>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p6-1.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/print">print</a></span>(p6)</a></code></pre></div>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 188.45361 51.00699 42.46931
@@ -221,25 +245,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 94.7759 7.29e-24 92.3478 97.2039
-## k_parent_sink 0.0179 8.02e-16 0.0166 0.0194
-## sigma 3.0696 3.81e-06 2.0456 4.0936
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 94.7759 NA NA NA
+## k_parent_sink 0.0179 NA NA NA
+## sigma 3.0696 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.12446 NA NA NA
+## k__iore_parent_sink 0.00252 NA NA NA
+## N_parent 1.49587 NA NA NA
+## sigma 1.59698 NA NA NA
##
## $DFOP
-## 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 4.90e-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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.66e+01 NA NA NA
+## k1 2.55e-02 NA NA NA
+## k2 4.90e-11 NA NA NA
+## g 8.61e-01 NA NA NA
+## sigma 1.46e+00 NA NA NA
##
##
## DTx values:
@@ -254,12 +278,20 @@
<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="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>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p7-1.png" width="700"></p>
-<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>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 3661.661 3195.030 3174.145
@@ -269,25 +301,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 96.41796 NA NA NA
+## k_parent_sink 0.00735 NA NA NA
+## sigma 7.94557 NA NA NA
##
## $IORE
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.92e+01 NA NA NA
+## k__iore_parent_sink 1.60e-05 NA NA NA
+## N_parent 2.45e+00 NA NA NA
+## sigma 7.42e+00 NA NA NA
##
## $DFOP
-## 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 1.97e-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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.89e+01 NA NA NA
+## k1 1.81e-02 NA NA NA
+## k2 1.97e-10 NA NA NA
+## g 6.06e-01 NA NA NA
+## sigma 7.40e+00 NA NA NA
##
##
## DTx values:
@@ -307,17 +339,20 @@
<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="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.
+<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>
+<pre><code>## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
-## Warning in summary.mkinfit(x): Could not estimate covariance matrix;
-## singular system.</code></pre>
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p8-1.png" width="700"></p>
-<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>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 1996.9408 444.9237 547.5616
@@ -334,11 +369,11 @@
## sigma 7.44786 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.77e+01 NA NA NA
+## k__iore_parent_sink 6.14e-05 NA NA NA
+## N_parent 2.27e+00 NA NA NA
+## sigma 3.52e+00 NA NA NA
##
## $DFOP
## Estimate Pr(&gt;t) Lower Upper
@@ -366,12 +401,20 @@
<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="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>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p9a-1.png" width="700"></p>
-<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>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 839.35238 88.57064 9.93363
@@ -381,25 +424,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 88.1933 NA NA NA
+## k_parent_sink 0.0409 NA NA NA
+## sigma 7.2429 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.89e+01 NA NA NA
+## k__iore_parent_sink 1.93e-05 NA NA NA
+## N_parent 2.91e+00 NA NA NA
+## sigma 2.35e+00 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 9.85e+01 2.54e-20 97.390 99.672
-## k1 1.38e-01 3.52e-05 0.131 0.146
-## k2 6.02e-13 5.00e-01 0.000 Inf
-## g 6.52e-01 8.13e-06 0.642 0.661
-## sigma 7.88e-01 6.13e-02 0.481 1.095
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 9.85e+01 NA NA NA
+## k1 1.38e-01 NA NA NA
+## k2 6.02e-13 NA NA NA
+## g 6.52e-01 NA NA NA
+## sigma 7.88e-01 NA NA NA
##
##
## DTx values:
@@ -415,17 +458,20 @@
<div id="example-on-page-9-lower-panel" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-9-lower-panel" class="anchor"></a>Example on page 9, lower panel</h2>
-<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb38-1" title="1">p9b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p9b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
-## finite result is doubtful</code></pre>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p9b-1.png" width="700"></p>
-<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>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 35.64867 23.22334 35.64867
@@ -435,25 +481,25 @@
##
## Parameters:
## $SFO
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 94.7123 NA NA NA
+## k_parent_sink 0.0389 NA NA NA
+## sigma 1.5957 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 93.863 NA NA NA
+## k__iore_parent_sink 0.127 NA NA NA
+## N_parent 0.711 NA NA NA
+## sigma 1.288 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 94.7123 1.61e-16 93.1355 96.2891
-## k1 0.0389 1.43e-06 0.0312 0.0485
-## k2 0.0389 6.67e-03 0.0186 0.0812
-## g 0.7742 NaN NA NA
-## sigma 1.5957 2.50e-04 0.9135 2.2779
+## 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
+## sigma 1.5957 NA NA NA
##
##
## DTx values:
@@ -469,12 +515,20 @@
<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="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>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p10-1.png" width="700"></p>
-<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>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 899.4089 336.4348 899.4089
@@ -484,25 +538,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 101.7315 NA NA NA
+## k_parent_sink 0.0495 NA NA NA
+## sigma 8.0152 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 96.86 NA NA NA
+## k__iore_parent_sink 2.96 NA NA NA
+## N_parent 0.00 NA NA NA
+## sigma 4.90 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 101.7315 1.41e-09 91.6534 111.8097
-## k1 0.0495 6.42e-04 0.0301 0.0814
-## k2 0.0495 1.66e-02 0.0200 0.1225
-## g 0.6634 5.00e-01 0.0000 1.0000
-## sigma 8.0152 2.50e-04 4.5886 11.4418
+## 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
+## sigma 8.0152 NA NA NA
##
##
## DTx values:
@@ -522,12 +576,20 @@
<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="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>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="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>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p11-1.png" width="700"></p>
-<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>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 579.6805 204.7932 144.7783
@@ -537,25 +599,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 96.15820 NA NA NA
+## k_parent_sink 0.00321 NA NA NA
+## sigma 6.43473 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.05e+02 NA NA NA
+## k__iore_parent_sink 3.11e-17 NA NA NA
+## N_parent 8.36e+00 NA NA NA
+## sigma 3.82e+00 NA NA NA
##
## $DFOP
-## 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 7.25e-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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.05e+02 NA NA NA
+## k1 4.41e-02 NA NA NA
+## k2 7.25e-13 NA NA NA
+## g 3.22e-01 NA NA NA
+## sigma 3.22e+00 NA NA NA
##
##
## DTx values:
@@ -576,14 +638,20 @@
<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="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>
+<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>
+<pre><code>## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="cb64"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb64-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/graphics/topics/plot">plot</a></span>(p12a)</a></code></pre></div>
+<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>
<p><img src="NAFTA_examples_files/figure-html/p12a-1.png" width="700"></p>
-<div class="sourceCode" id="cb65"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb65-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12a)</a></code></pre></div>
+<div class="sourceCode" id="cb69"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb69-1" title="1"><span class="kw"><a href="https://www.rdocumentation.org/packages/base/topics/print">print</a></span>(p12a)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 695.4440 220.0685 695.4440
@@ -593,10 +661,10 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 100.521 NA NA NA
+## k_parent_sink 0.124 NA NA NA
+## sigma 7.048 NA NA NA
##
## $IORE
## Estimate Pr(&gt;t) Lower Upper
@@ -606,12 +674,12 @@
## sigma 3.965 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 100.521 2.74e-10 92.2366 108.805
-## k1 0.124 5.74e-06 0.0958 0.161
-## k2 0.124 6.61e-02 0.0319 0.484
-## g 0.877 5.00e-01 0.0000 1.000
-## sigma 7.048 2.50e-04 4.0349 10.061
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 100.521 NA NA NA
+## k1 0.124 NA NA NA
+## k2 0.124 NA NA NA
+## g 0.877 NA NA NA
+## sigma 7.048 NA NA NA
##
##
## DTx values:
@@ -626,20 +694,20 @@
<div id="example-on-page-12-lower-panel" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-12-lower-panel" class="anchor"></a>Example on page 12, lower panel</h2>
-<div class="sourceCode" id="cb67"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb67-1" title="1">p12b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p12b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in qt(alpha/2, rdf): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in qt(1 - alpha/2, rdf): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in pt(abs(tval), rdf, lower.tail = FALSE): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
-## finite result is doubtful</code></pre>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="cb77"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb77-1" 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="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>
<p><img src="NAFTA_examples_files/figure-html/p12b-1.png" width="700"></p>
-<div class="sourceCode" id="cb78"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb78-1" 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="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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 58.90242 19.06353 58.90242
@@ -649,25 +717,25 @@
##
## Parameters:
## $SFO
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.6840 NA NA NA
+## k_parent_sink 0.0589 NA NA NA
+## sigma 3.4323 NA NA NA
##
## $IORE
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 95.523 NA NA NA
+## k__iore_parent_sink 0.333 NA NA NA
+## N_parent 0.568 NA NA NA
+## sigma 1.953 NA NA NA
##
## $DFOP
## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.6840 NaN NaN NaN
-## k1 0.0589 NaN NA NA
-## k2 0.0589 NaN NA NA
-## g 0.6902 NaN NA NA
-## sigma 3.4323 NaN NaN NaN
+## parent_0 97.6840 NA NA NA
+## k1 0.0589 NA NA NA
+## k2 0.0589 NA NA NA
+## g 0.6902 NA NA NA
+## sigma 3.4323 NA NA NA
##
##
## DTx values:
@@ -682,16 +750,20 @@
<div id="example-on-page-13" class="section level2">
<h2 class="hasAnchor">
<a href="#example-on-page-13" class="anchor"></a>Example on page 13</h2>
-<div class="sourceCode" id="cb80"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb80-1" title="1">p13 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p13"</span>]])</a></code></pre></div>
-<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
-## finite result is doubtful</code></pre>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="cb86"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb86-1" 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="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>
<p><img src="NAFTA_examples_files/figure-html/p13-1.png" width="700"></p>
-<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/base/topics/print">print</a></span>(p13)</a></code></pre></div>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 174.5971 142.3951 174.5971
@@ -701,25 +773,25 @@
##
## Parameters:
## $SFO
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 92.73500 NA NA NA
+## k_parent_sink 0.00258 NA NA NA
+## sigma 3.41172 NA NA NA
##
## $IORE
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 91.6016 NA NA NA
+## k__iore_parent_sink 0.0396 NA NA NA
+## N_parent 0.3541 NA NA NA
+## sigma 3.0811 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 92.73500 9.25e-15 8.95e+01 9.59e+01
-## k1 0.00258 4.28e-01 1.70e-08 3.92e+02
-## k2 0.00258 3.69e-08 2.20e-03 3.03e-03
-## g 0.00442 5.00e-01 NA NA
-## sigma 3.41172 1.35e-04 2.02e+00 4.80e+00
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 92.73500 NA NA NA
+## k1 0.00258 NA NA NA
+## k2 0.00258 NA NA NA
+## g 0.00442 NA NA NA
+## sigma 3.41172 NA NA NA
##
##
## DTx values:
@@ -735,16 +807,20 @@
<div id="dt50-not-observed-in-the-study-and-dfop-problems-in-pestdf" class="section level1">
<h1 class="hasAnchor">
<a href="#dt50-not-observed-in-the-study-and-dfop-problems-in-pestdf" class="anchor"></a>DT50 not observed in the study and DFOP problems in PestDF</h1>
-<div class="sourceCode" id="cb89"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb89-1" title="1">p14 &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p14"</span>]])</a></code></pre></div>
-<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
-## finite result is doubtful</code></pre>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="cb95"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb95-1" 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="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>
<p><img src="NAFTA_examples_files/figure-html/p14-1.png" width="700"></p>
-<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/base/topics/print">print</a></span>(p14)</a></code></pre></div>
+<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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 48.43249 28.67746 27.26248
@@ -754,25 +830,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 99.47124 NA NA NA
+## k_parent_sink 0.00279 NA NA NA
+## sigma 1.55616 NA NA NA
##
## $IORE
## 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
+## parent_0 1.00e+02 NA NA NA
+## k__iore_parent_sink 9.44e-08 NA NA NA
+## N_parent 3.31e+00 NA NA NA
+## sigma 1.20e+00 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.00e+02 2.96e-28 99.40280 101.2768
-## k1 9.53e-03 1.20e-01 0.00638 0.0143
-## k2 7.29e-12 5.00e-01 0.00000 Inf
-## g 3.98e-01 2.19e-01 0.30481 0.4998
-## sigma 1.17e+00 7.68e-06 0.77406 1.5610
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.00e+02 NA NA NA
+## k1 9.53e-03 NA NA NA
+## k2 7.29e-12 NA NA NA
+## g 3.98e-01 NA NA NA
+## sigma 1.17e+00 NA NA NA
##
##
## DTx values:
@@ -788,17 +864,20 @@
<div id="n-is-less-than-1-and-dfop-fraction-parameter-is-below-zero" class="section level1">
<h1 class="hasAnchor">
<a href="#n-is-less-than-1-and-dfop-fraction-parameter-is-below-zero" class="anchor"></a>N is less than 1 and DFOP fraction parameter is below zero</h1>
-<div class="sourceCode" id="cb98"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb98-1" title="1">p15a &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15a"</span>]])</a></code></pre></div>
-<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(diag(covar_notrans)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
-## finite result is doubtful</code></pre>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="cb105"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb105-1" 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="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>
<p><img src="NAFTA_examples_files/figure-html/p15a-1.png" width="700"></p>
-<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/base/topics/print">print</a></span>(p15a)</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>(p15a)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 245.5248 135.0132 245.5248
@@ -808,25 +887,25 @@
##
## Parameters:
## $SFO
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.96751 NA NA NA
+## k_parent_sink 0.00952 NA NA NA
+## sigma 4.18778 NA NA NA
##
## $IORE
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 95.874 NA NA NA
+## k__iore_parent_sink 0.629 NA NA NA
+## N_parent 0.000 NA NA NA
+## sigma 3.105 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 97.96752 2.85e-13 94.21914 101.7159
-## k1 0.00952 6.80e-02 0.00277 0.0327
-## k2 0.00952 3.82e-06 0.00902 0.0100
-## g 0.17247 NaN NA NA
-## sigma 4.18778 2.50e-04 2.39747 5.9781
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 97.96752 NA NA NA
+## k1 0.00952 NA NA NA
+## k2 0.00952 NA NA NA
+## g 0.17247 NA NA NA
+## sigma 4.18778 NA NA NA
##
##
## DTx values:
@@ -837,16 +916,20 @@
##
## Representative half-life:
## [1] 41.33</code></pre>
-<div class="sourceCode" id="cb108"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb108-1" title="1">p15b &lt;-<span class="st"> </span><span class="kw"><a href="../../reference/nafta.html">nafta</a></span>(NAFTA_SOP_Attachment[[<span class="st">"p15b"</span>]])</a></code></pre></div>
-<pre><code>## Warning in sqrt(diag(covar)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in sqrt(1/diag(V)): NaNs wurden erzeugt</code></pre>
-<pre><code>## Warning in cov2cor(ans$cov.unscaled): diag(.) had 0 or NA entries; non-
-## finite result is doubtful</code></pre>
+<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 calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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="cb114"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb114-1" 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="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>
<p><img src="NAFTA_examples_files/figure-html/p15b-1.png" width="700"></p>
-<div class="sourceCode" id="cb115"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb115-1" 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="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>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 106.91629 68.55574 106.91629
@@ -856,25 +939,25 @@
##
## Parameters:
## $SFO
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 1.01e+02 NA NA NA
+## k_parent_sink 4.86e-03 NA NA NA
+## sigma 2.76e+00 NA NA NA
##
## $IORE
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 99.83 NA NA NA
+## k__iore_parent_sink 0.38 NA NA NA
+## N_parent 0.00 NA NA NA
+## sigma 2.21 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 1.01e+02 NA 9.82e+01 1.04e+02
-## k1 4.86e-03 NA 6.75e-04 3.49e-02
-## k2 4.86e-03 NA 3.37e-03 6.99e-03
-## g 1.50e-01 NA NA NA
-## sigma 2.76e+00 NA 1.58e+00 3.94e+00
+## 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
+## sigma 2.76e+00 NA NA NA
##
##
## DTx values:
@@ -890,14 +973,22 @@
<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="cb117"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb117-1" 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="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>
+<pre><code>## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix
+
+## Warning in summary.mkinfit(x): Could not calculate correlation; no
+## covariance matrix</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 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="cb122"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb122-1" 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="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>(p16)</a></code></pre></div>
<p><img src="NAFTA_examples_files/figure-html/p16-1.png" width="700"></p>
-<div class="sourceCode" id="cb123"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb123-1" 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="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>(p16)</a></code></pre></div>
<pre><code>## Sums of squares:
## SFO IORE DFOP
## 3831.804 2062.008 1550.980
@@ -907,25 +998,25 @@
##
## Parameters:
## $SFO
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 71.953 NA NA NA
+## k_parent_sink 0.159 NA NA NA
+## sigma 11.302 NA NA NA
##
## $IORE
-## Estimate Pr(&gt;t) Lower Upper
-## 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 8.74e+01 NA NA NA
+## k__iore_parent_sink 4.55e-04 NA NA NA
+## N_parent 2.70e+00 NA NA NA
+## sigma 8.29e+00 NA NA NA
##
## $DFOP
-## Estimate Pr(&gt;t) Lower Upper
-## parent_0 88.5333 7.40e-18 79.9836 97.083
-## k1 18.5561 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
+## Estimate Pr(&gt;t) Lower Upper
+## parent_0 88.5333 NA NA NA
+## k1 18.5561 NA NA NA
+## k2 0.0776 NA NA NA
+## g 0.4733 NA NA NA
+## sigma 7.1902 NA NA NA
##
##
## DTx values:
diff --git a/docs/articles/web_only/benchmarks.html b/docs/articles/web_only/benchmarks.html
index 6df96c14..2e83cea9 100644
--- a/docs/articles/web_only/benchmarks.html
+++ b/docs/articles/web_only/benchmarks.html
@@ -88,7 +88,7 @@
<h1>Benchmark timings for mkin on various systems</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>benchmarks.Rmd</code></div>
@@ -198,67 +198,67 @@
## 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 5.864
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 2.866
## 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 23.254
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 16.533
## 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 4.544
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 2.247
## 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 15.757
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 11.124
## 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 7.870
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.887
## 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 2.554
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 1.317
## 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 4.22
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 2.177
## 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 6.479
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 3.991
## 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 11.236
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 7.175
## 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 4.803
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 2.776
## 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 7.688</code></pre>
+## Linux, AMD Ryzen 7 1700 Eight-Core Processor, mkin version 0.9.49.4 4.658</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/vignettes/mkin_benchmarks.rda"</span>)</a></code></pre></div>
</div>
</div>
diff --git a/docs/articles/web_only/compiled_models.html b/docs/articles/web_only/compiled_models.html
index feba6e23..ad7716c1 100644
--- a/docs/articles/web_only/compiled_models.html
+++ b/docs/articles/web_only/compiled_models.html
@@ -88,7 +88,7 @@
<h1>Performance benefit by using compiled model definitions in mkin</h1>
<h4 class="author">Johannes Ranke</h4>
- <h4 class="date">2019-05-03</h4>
+ <h4 class="date">2019-05-07</h4>
<div class="hidden name"><code>compiled_models.Rmd</code></div>
@@ -163,14 +163,14 @@
## 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 3.075 1.000 3.072 0.000
-## 1 deSolve, not compiled 3 28.192 9.168 28.168 0.008
-## 2 Eigenvalue based 3 4.351 1.415 4.349 0.000
+## 3 deSolve, compiled 3 1.325 1.000 1.325 0
+## 1 deSolve, not compiled 3 11.175 8.434 11.170 0
+## 2 Eigenvalue based 3 1.799 1.358 1.798 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 9 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 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>
</div>
<div id="model-that-can-not-be-solved-with-eigenvalues" class="section level2">
<h2 class="hasAnchor">
@@ -214,8 +214,8 @@
## 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 4.933 1.000 4.930 0
-## 1 deSolve, not compiled 3 52.879 10.719 52.853 0
+## 2 deSolve, compiled 3 2.322 1.000 2.320 0
+## 1 deSolve, not compiled 3 25.232 10.866 25.208 0
## user.child sys.child
## 2 0 0
## 1 0 0</code></pre>
diff --git a/docs/news/index.html b/docs/news/index.html
index aad50dce..d165b6f9 100644
--- a/docs/news/index.html
+++ b/docs/news/index.html
@@ -122,9 +122,9 @@
</div>
- <div id="mkin-0-9-49-4-2019-04-09" class="section level1">
+ <div id="mkin-0-9-49-4-2019-05-07" 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>
+<a href="#mkin-0-9-49-4-2019-05-07" class="anchor"></a>mkin 0.9.49.4 (2019-05-07)<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>
@@ -695,7 +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-0-9-49-4-2019-05-07">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/reference/NAFTA_SOP_2015.html b/docs/reference/NAFTA_SOP_2015.html
index 84341a17..9fbc71c6 100644
--- a/docs/reference/NAFTA_SOP_2015.html
+++ b/docs/reference/NAFTA_SOP_2015.html
@@ -155,7 +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='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='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</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;
@@ -164,25 +164,25 @@
#&gt;
#&gt; Parameters:
#&gt; $SFO
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 83.7558 NA NA NA
+#&gt; k_parent_sink 0.0017 NA NA NA
+#&gt; sigma 8.7518 NA NA NA
#&gt;
#&gt; $IORE
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 9.69e+01 NA NA NA
+#&gt; k__iore_parent_sink 8.40e-14 NA NA NA
+#&gt; N_parent 6.68e+00 NA NA NA
+#&gt; sigma 5.85e+00 NA NA NA
#&gt;
#&gt; $DFOP
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 9.76e+01 NA NA NA
+#&gt; k1 4.24e-02 NA NA NA
+#&gt; k2 8.24e-04 NA NA NA
+#&gt; g 2.88e-01 NA NA NA
+#&gt; sigma 5.36e+00 NA NA NA
#&gt;
#&gt;
#&gt; DTx values:
diff --git a/docs/reference/NAFTA_SOP_Attachment.html b/docs/reference/NAFTA_SOP_Attachment.html
index 76d91c40..149b4d82 100644
--- a/docs/reference/NAFTA_SOP_Attachment.html
+++ b/docs/reference/NAFTA_SOP_Attachment.html
@@ -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='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='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</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;
@@ -161,25 +161,25 @@
#&gt;
#&gt; Parameters:
#&gt; $SFO
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 95.8401 NA NA NA
+#&gt; k_parent_sink 0.0102 NA NA NA
+#&gt; sigma 4.8230 NA NA NA
#&gt;
#&gt; $IORE
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 1.01e+02 NA NA NA
+#&gt; k__iore_parent_sink 1.54e-05 NA NA NA
+#&gt; N_parent 2.57e+00 NA NA NA
+#&gt; sigma 1.68e+00 NA NA NA
#&gt;
#&gt; $DFOP
-#&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 2.86e-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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 9.99e+01 NA NA NA
+#&gt; k1 2.67e-02 NA NA NA
+#&gt; k2 2.86e-12 NA NA NA
+#&gt; g 6.47e-01 NA NA NA
+#&gt; sigma 1.27e+00 NA NA NA
#&gt;
#&gt;
#&gt; DTx values:
diff --git a/docs/reference/logLik.mkinfit.html b/docs/reference/logLik.mkinfit.html
index f5844a8e..0184d573 100644
--- a/docs/reference/logLik.mkinfit.html
+++ b/docs/reference/logLik.mkinfit.html
@@ -180,7 +180,7 @@ The total number of estimated parameters returned with the value
<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 6 148.1802</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 3b45b14f..082cd4fb 100644
--- a/docs/reference/logistic.solution.html
+++ b/docs/reference/logistic.solution.html
@@ -205,18 +205,12 @@
<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 1.9023449649 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 5.846685e-08
-#&gt; r 2.263946e-01 0.1718110773 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_0 109.9341588
-#&gt; kmax 0.1041853
-#&gt; k0 0.4448750
-#&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>)$<span class='no'>distimes</span></div><div class='output co'>#&gt; DT50 DT90 DT50_k0 DT50_kmax
+ <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>m</span>)</div><div class='img'><img src='logistic.solution-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>m</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 1.057896e+02 NA NA NA NA NA
+#&gt; kmax 6.398190e-02 NA NA NA NA NA
+#&gt; k0 1.612775e-04 NA NA NA NA NA
+#&gt; r 2.263946e-01 NA NA NA NA NA
+#&gt; sigma 5.332935e+00 NA NA NA NA NA</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>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
diff --git a/docs/reference/mccall81_245T.html b/docs/reference/mccall81_245T.html
index 1db9a9d9..26bbd2ec 100644
--- a/docs/reference/mccall81_245T.html
+++ b/docs/reference/mccall81_245T.html
@@ -160,22 +160,14 @@
<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>)</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 2.1508110557 48.286452 3.542232e-18 99.246062215
-#&gt; k_T245_sink 1.636106e-02 NaN NaN NaN 0.012661558
-#&gt; k_T245_phenol 2.700936e-02 NaN NaN NaN 0.024487315
-#&gt; k_phenol_sink 1.788604e-10 NaN NaN NaN 0.000000000
-#&gt; k_phenol_anisole 4.050581e-01 0.1053801116 3.843781 7.970202e-04 0.218013982
-#&gt; k_anisole_sink 6.678742e-03 0.0006205844 10.762020 9.428076e-09 0.005370739
-#&gt; sigma 2.514628e+00 0.3383670685 7.431657 1.054101e-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; $ff
+ <span class='kw'>anisole</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'> </div><div class='input'> <span class='no'>fit.1</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO_SFO</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>), <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.1</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; T245_0 1.038550e+02 NA NA NA NA NA
+#&gt; k_T245_sink 1.636106e-02 NA NA NA NA NA
+#&gt; k_T245_phenol 2.700936e-02 NA NA NA NA NA
+#&gt; k_phenol_sink 1.788604e-10 NA NA NA NA NA
+#&gt; k_phenol_anisole 4.050581e-01 NA NA NA NA NA
+#&gt; k_anisole_sink 6.678742e-03 NA NA NA NA NA
+#&gt; sigma 2.514628e+00 NA NA NA NA 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; $ff
#&gt; T245_sink T245_phenol phenol_sink phenol_anisole anisole_sink
#&gt; 3.772401e-01 6.227599e-01 4.415672e-10 1.000000e+00 1.000000e+00
#&gt;
@@ -190,20 +182,13 @@
#&gt; </div><div class='input'> <span class='co'># k_phenol_sink is really small, therefore fix it to zero</span>
<span class='no'>fit.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO_SFO</span>, <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/subset'>subset</a></span>(<span class='no'>mccall81_245T</span>, <span class='no'>soil</span> <span class='kw'>==</span> <span class='st'>"Commerce"</span>),
<span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='kw'>k_phenol_sink</span> <span class='kw'>=</span> <span class='fl'>0</span>),
- <span class='kw'>fixed_parms</span> <span class='kw'>=</span> <span class='st'>"k_phenol_sink"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>)$<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 2.1623653063 48.028441 4.993105e-19 99.271025146
-#&gt; k_T245_sink 1.636106e-02 0.0019676255 8.315130 1.673674e-07 0.012679148
-#&gt; k_T245_phenol 2.700936e-02 0.0012421966 21.743224 1.314080e-13 0.024500319
-#&gt; k_phenol_anisole 4.050581e-01 0.1177235488 3.440757 1.679237e-03 0.218746679
-#&gt; k_anisole_sink 6.678742e-03 0.0006829745 9.778904 1.872892e-08 0.005377084
-#&gt; sigma 2.514628e+00 0.3790944250 6.633250 2.875782e-06 1.710983655
-#&gt; Upper
-#&gt; T245_0 108.43904395
-#&gt; k_T245_sink 0.02111217
-#&gt; k_T245_phenol 0.02977535
-#&gt; k_phenol_anisole 0.75005504
-#&gt; k_anisole_sink 0.00829550
-#&gt; sigma 3.31827222</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; $ff
+ <span class='kw'>fixed_parms</span> <span class='kw'>=</span> <span class='st'>"k_phenol_sink"</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.2</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; T245_0 1.038550e+02 NA NA NA NA NA
+#&gt; k_T245_sink 1.636106e-02 NA NA NA NA NA
+#&gt; k_T245_phenol 2.700936e-02 NA NA NA NA NA
+#&gt; k_phenol_anisole 4.050581e-01 NA NA NA NA NA
+#&gt; k_anisole_sink 6.678742e-03 NA NA NA NA NA
+#&gt; sigma 2.514628e+00 NA NA NA NA 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
#&gt; T245_sink T245_phenol phenol_sink phenol_anisole anisole_sink
#&gt; 3.772401e-01 6.227599e-01 4.415672e-10 1.000000e+00 1.000000e+00
#&gt;
diff --git a/docs/reference/mkinfit.html b/docs/reference/mkinfit.html
index 8c14fc9d..b75b7c95 100644
--- a/docs/reference/mkinfit.html
+++ b/docs/reference/mkinfit.html
@@ -360,17 +360,17 @@ Per default, parameters in the kinetic models are internally transformed in
<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: 0.9.49.4
+<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; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
#&gt; R version used for fitting: 3.6.0
-#&gt; Date of fit: Fri May 3 19:07:19 2019
-#&gt; Date of summary: Fri May 3 19:07:19 2019
+#&gt; Date of fit: Tue May 7 08:08:23 2019
+#&gt; Date of summary: Tue May 7 08:08:23 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 using 222 model solutions performed in 0.463 s
+#&gt; Fitted using 66 model solutions performed in 0.139 s
#&gt;
#&gt; Error model:
#&gt; Constant variance
@@ -393,28 +393,23 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt; None
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&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; Estimate Std. Error Lower Upper
+#&gt; parent_0 85.87000 NA NA NA
+#&gt; log_alpha 0.05192 NA NA NA
+#&gt; log_beta 0.65100 NA NA NA
+#&gt; sigma 1.85700 NA NA NA
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_alpha log_beta sigma
-#&gt; parent_0 1.000e+00 -1.565e-01 -3.142e-01 4.770e-08
-#&gt; log_alpha -1.565e-01 1.000e+00 9.564e-01 9.974e-08
-#&gt; log_beta -3.142e-01 9.564e-01 1.000e+00 8.468e-08
-#&gt; sigma 4.770e-08 9.974e-08 8.468e-08 1.000e+00
-#&gt;
+#&gt; No covariance matrix
#&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 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; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 85.870 NA NA NA NA
+#&gt; alpha 1.053 NA NA NA NA
+#&gt; beta 1.917 NA NA NA NA
+#&gt; sigma 1.857 NA NA NA NA
#&gt;
#&gt; FOCUS Chi2 error levels in percent:
#&gt; err.min n.optim df
@@ -443,7 +438,7 @@ Per default, parameters in the kinetic models are internally transformed in
<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; <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; 1.493 0.000 1.494 </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; 0.637 0.000 0.640 </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;
@@ -514,10 +509,8 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt; Sum of squared residuals at call 125: 371.2134
#&gt; Sum of squared residuals at call 126: 371.2134
#&gt; Sum of squared residuals at call 135: 371.2134
-#&gt; Negative log-likelihood at call 145: 97.22429
-#&gt; Optimisation successfully terminated.
-#&gt; User System verstrichen
-#&gt; 1.082 0.000 1.083 </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; Negative log-likelihood at call 145: 97.22429</div><div class='output co'>#&gt; <span class='message'>Optimisation successfully terminated.</span></div><div class='output co'>#&gt; User System verstrichen
+#&gt; 0.544 0.000 0.550 </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; $ff
#&gt; parent_sink parent_m1 m1_sink
#&gt; 0.485524 0.514476 1.000000
#&gt;
@@ -547,10 +540,10 @@ Per default, parameters in the kinetic models are internally transformed in
<span class='no'>fit.SFORB_SFO</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>SFORB_SFO</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>parms.ini</span> <span class='kw'>=</span> <span class='no'>fit.SFORB</span>$<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>)</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
+ <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; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
#&gt; R version used for fitting: 3.6.0
-#&gt; Date of fit: Fri May 3 19:07:35 2019
-#&gt; Date of summary: Fri May 3 19:07:35 2019
+#&gt; Date of fit: Tue May 7 08:08:30 2019
+#&gt; Date of summary: Tue May 7 08:08:30 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent * parent
@@ -558,7 +551,7 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt;
#&gt; Model predictions using solution type deSolve
#&gt;
-#&gt; Fitted using 421 model solutions performed in 1.099 s
+#&gt; Fitted using 185 model solutions performed in 0.499 s
#&gt;
#&gt; Error model:
#&gt; Constant variance
@@ -584,31 +577,25 @@ Per default, parameters in the kinetic models are internally transformed in
#&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 1.57000 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; Estimate Std. Error Lower Upper
+#&gt; parent_0 99.60000 NA NA NA
+#&gt; log_k_parent -2.31600 NA NA NA
+#&gt; log_k_m1 -5.24800 NA NA NA
+#&gt; f_parent_ilr_1 0.04096 NA NA NA
+#&gt; sigma 3.12600 NA NA NA
#&gt;
#&gt; Parameter correlation:
-#&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 -2.265e-07
-#&gt; log_k_parent 5.174e-01 1.000e+00 -3.263e-01 -5.426e-01 3.785e-07
-#&gt; log_k_m1 -1.688e-01 -3.263e-01 1.000e+00 7.478e-01 -1.386e-07
-#&gt; f_parent_ilr_1 -5.471e-01 -5.426e-01 7.478e-01 1.000e+00 -3.641e-08
-#&gt; sigma -2.265e-07 3.785e-07 -1.386e-07 -3.641e-08 1.000e+00
-#&gt;
+#&gt; No covariance matrix
#&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 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; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 99.600000 NA NA NA NA
+#&gt; k_parent 0.098700 NA NA NA NA
+#&gt; k_m1 0.005261 NA NA NA NA
+#&gt; f_parent_to_m1 0.514500 NA NA NA NA
+#&gt; sigma 3.126000 NA NA NA NA
#&gt;
#&gt; FOCUS Chi2 error levels in percent:
#&gt; err.min n.optim df
@@ -665,10 +652,10 @@ Per default, parameters in the kinetic models are internally transformed in
#&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.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; 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; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
#&gt; R version used for fitting: 3.6.0
-#&gt; Date of fit: Fri May 3 19:07:37 2019
-#&gt; Date of summary: Fri May 3 19:07:37 2019
+#&gt; Date of fit: Tue May 7 08:08:32 2019
+#&gt; Date of summary: Tue May 7 08:08:32 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent * parent
@@ -676,7 +663,7 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt;
#&gt; Model predictions using solution type deSolve
#&gt;
-#&gt; Fitted using 756 model solutions performed in 1.973 s
+#&gt; Fitted using 426 model solutions performed in 1.139 s
#&gt;
#&gt; Error model:
#&gt; Variance unique to each observed variable
@@ -704,41 +691,27 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt; m1_0 0 state
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&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; Estimate Std. Error Lower Upper
+#&gt; parent_0 99.65000 NA NA NA
+#&gt; log_k_parent -2.31300 NA NA NA
+#&gt; log_k_m1 -5.25000 NA NA NA
+#&gt; f_parent_ilr_1 0.03861 NA NA NA
+#&gt; sigma_parent 3.40100 NA NA NA
+#&gt; sigma_m1 2.85500 NA NA NA
#&gt;
#&gt; Parameter correlation:
-#&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 0.035685
-#&gt; log_k_parent 0.51078 1.00000 -0.37458 -0.59239 0.069840
-#&gt; log_k_m1 -0.19133 -0.37458 1.00000 0.74398 -0.026160
-#&gt; f_parent_ilr_1 -0.59997 -0.59239 0.74398 1.00000 -0.041377
-#&gt; sigma_parent 0.03569 0.06984 -0.02616 -0.04138 1.000000
-#&gt; sigma_m1 -0.03385 -0.06626 0.02482 0.03925 -0.004628
-#&gt; sigma_m1
-#&gt; parent_0 -0.033847
-#&gt; log_k_parent -0.066264
-#&gt; log_k_m1 0.024822
-#&gt; f_parent_ilr_1 0.039254
-#&gt; sigma_parent -0.004628
-#&gt; sigma_m1 1.000000
-#&gt;
+#&gt; No covariance matrix
#&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 99.650000 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; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 99.650000 NA NA NA NA
+#&gt; k_parent 0.098970 NA NA NA NA
+#&gt; k_m1 0.005245 NA NA NA NA
+#&gt; f_parent_to_m1 0.513600 NA NA NA NA
+#&gt; sigma_parent 3.401000 NA NA NA NA
+#&gt; sigma_m1 2.855000 NA NA NA NA
#&gt;
#&gt; FOCUS Chi2 error levels in percent:
#&gt; err.min n.optim df
@@ -758,47 +731,47 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt;
#&gt; Data:
#&gt; time variable observed predicted residual
-#&gt; 0 parent 99.46 99.65425 -1.942e-01
-#&gt; 0 parent 102.04 99.65425 2.386e+00
-#&gt; 1 parent 93.50 90.26338 3.237e+00
-#&gt; 1 parent 92.50 90.26338 2.237e+00
-#&gt; 3 parent 63.23 74.05309 -1.082e+01
-#&gt; 3 parent 68.99 74.05309 -5.063e+00
-#&gt; 7 parent 52.32 49.84326 2.477e+00
-#&gt; 7 parent 55.13 49.84326 5.287e+00
-#&gt; 14 parent 27.27 24.92970 2.340e+00
-#&gt; 14 parent 26.64 24.92970 1.710e+00
-#&gt; 21 parent 11.50 12.46888 -9.689e-01
-#&gt; 21 parent 11.64 12.46888 -8.289e-01
-#&gt; 35 parent 2.85 3.11924 -2.692e-01
-#&gt; 35 parent 2.91 3.11924 -2.092e-01
-#&gt; 50 parent 0.69 0.70678 -1.678e-02
-#&gt; 50 parent 0.63 0.70678 -7.678e-02
-#&gt; 75 parent 0.05 0.05952 -9.522e-03
-#&gt; 75 parent 0.06 0.05952 4.776e-04
+#&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 90.26332 3.237e+00
+#&gt; 1 parent 92.50 90.26332 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 25.06848 -2.098e+00
-#&gt; 7 m1 24.47 25.06848 -5.985e-01
+#&gt; 3 m1 12.91 13.04196 -1.320e-01
+#&gt; 3 m1 12.96 13.04196 -8.196e-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 43.29464 -2.075e+00
-#&gt; 35 m1 37.95 43.29464 -5.345e+00
-#&gt; 50 m1 41.19 41.19947 -9.473e-03
-#&gt; 50 m1 40.01 41.19947 -1.189e+00
-#&gt; 75 m1 40.09 36.44035 3.650e+00
-#&gt; 75 m1 33.85 36.44035 -2.590e+00
-#&gt; 100 m1 31.04 31.98773 -9.477e-01
-#&gt; 100 m1 33.13 31.98773 1.142e+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 -9.481e-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; <span class='warning'>Warning: NaNs wurden erzeugt</span></div><div class='output co'>#&gt; <span class='warning'>Warning: NaNs wurden erzeugt</span></div><div class='output co'>#&gt; <span class='warning'>Warning: NaNs wurden erzeugt</span></div><div class='output co'>#&gt; <span class='warning'>Warning: diag(.) had 0 or NA entries; non-finite result is doubtful</span></div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
+#&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; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
#&gt; R version used for fitting: 3.6.0
-#&gt; Date of fit: Fri May 3 19:07:40 2019
-#&gt; Date of summary: Fri May 3 19:07:40 2019
+#&gt; Date of fit: Tue May 7 08:08:34 2019
+#&gt; Date of summary: Tue May 7 08:08:34 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent * parent
@@ -806,7 +779,7 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt;
#&gt; Model predictions using solution type deSolve
#&gt;
-#&gt; Fitted using 888 model solutions performed in 3.579 s
+#&gt; Fitted using 489 model solutions performed in 2.013 s
#&gt;
#&gt; Error model:
#&gt; Two-component variance function
@@ -834,98 +807,84 @@ Per default, parameters in the kinetic models are internally transformed in
#&gt; m1_0 0 state
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 100.30000 3.06400 94.08000 106.60000
-#&gt; log_k_parent -2.31100 0.02913 -2.37100 -2.25200
-#&gt; log_k_m1 -5.27800 0.10890 -5.49900 -5.05600
-#&gt; f_parent_ilr_1 0.02128 0.07223 -0.12590 0.16840
-#&gt; sigma_low 0.99650 NaN NaN NaN
-#&gt; rsd_high 0.07560 0.01059 0.05402 0.09717
+#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 100.70000 NA NA NA
+#&gt; log_k_parent -2.29700 NA NA NA
+#&gt; log_k_m1 -5.26600 NA NA NA
+#&gt; f_parent_ilr_1 0.02374 NA NA NA
+#&gt; sigma_low 0.00305 NA NA NA
+#&gt; rsd_high 0.07928 NA NA NA
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent log_k_m1 f_parent_ilr_1 sigma_low
-#&gt; parent_0 1.00000 0.64703 -0.220160 -0.79035 NaN
-#&gt; log_k_parent 0.64703 1.00000 -0.339633 -0.67982 NaN
-#&gt; log_k_m1 -0.22016 -0.33963 1.000000 0.62815 NaN
-#&gt; f_parent_ilr_1 -0.79035 -0.67982 0.628148 1.00000 NaN
-#&gt; sigma_low NaN NaN NaN NaN 1
-#&gt; rsd_high -0.05745 -0.01123 0.003502 0.00568 NaN
-#&gt; rsd_high
-#&gt; parent_0 -0.057450
-#&gt; log_k_parent -0.011230
-#&gt; log_k_m1 0.003502
-#&gt; f_parent_ilr_1 0.005680
-#&gt; sigma_low NaN
-#&gt; rsd_high 1.000000
-#&gt;
+#&gt; No covariance matrix
#&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 1.003e+02 32.740 1.759e-26 94.080000 1.066e+02
-#&gt; k_parent 9.914e-02 34.330 4.045e-27 0.093430 1.052e-01
-#&gt; k_m1 5.105e-03 9.186 8.682e-11 0.004089 6.372e-03
-#&gt; f_parent_to_m1 5.075e-01 19.880 7.143e-20 0.455600 5.593e-01
-#&gt; sigma_low 9.965e-01 NaN NaN NaN NaN
-#&gt; rsd_high 7.560e-02 7.137 2.114e-08 0.054020 9.717e-02
+#&gt; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 1.007e+02 NA NA NA NA
+#&gt; k_parent 1.006e-01 NA NA NA NA
+#&gt; k_m1 5.167e-03 NA NA NA NA
+#&gt; f_parent_to_m1 5.084e-01 NA NA NA NA
+#&gt; sigma_low 3.050e-03 NA NA NA NA
+#&gt; rsd_high 7.928e-02 NA NA NA NA
#&gt;
#&gt; FOCUS Chi2 error levels in percent:
#&gt; err.min n.optim df
-#&gt; All data 6.433 4 15
-#&gt; parent 6.506 2 7
-#&gt; m1 4.692 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 0.5075
-#&gt; parent_sink 0.4925
+#&gt; parent_m1 0.5084
+#&gt; parent_sink 0.4916
#&gt;
#&gt; Estimated disappearance times:
-#&gt; DT50 DT90
-#&gt; parent 6.992 23.23
-#&gt; m1 135.787 451.08
+#&gt; DT50 DT90
+#&gt; parent 6.893 22.9
+#&gt; m1 134.156 445.7
#&gt;
#&gt; Data:
#&gt; time variable observed predicted residual
-#&gt; 0 parent 99.46 100.32122 -0.861220
-#&gt; 0 parent 102.04 100.32122 1.718780
-#&gt; 1 parent 93.50 90.85266 2.647340
-#&gt; 1 parent 92.50 90.85266 1.647340
-#&gt; 3 parent 63.23 74.51219 -11.282190
-#&gt; 3 parent 68.99 74.51219 -5.522190
-#&gt; 7 parent 52.32 50.11950 2.200504
-#&gt; 7 parent 55.13 50.11950 5.010504
-#&gt; 14 parent 27.27 25.03921 2.230792
-#&gt; 14 parent 26.64 25.03921 1.600792
-#&gt; 21 parent 11.50 12.50934 -1.009342
-#&gt; 21 parent 11.64 12.50934 -0.869342
-#&gt; 35 parent 2.85 3.12221 -0.272211
-#&gt; 35 parent 2.91 3.12221 -0.212211
-#&gt; 50 parent 0.69 0.70572 -0.015724
-#&gt; 50 parent 0.63 0.70572 -0.075724
-#&gt; 75 parent 0.05 0.05919 -0.009191
-#&gt; 75 parent 0.06 0.05919 0.000809
-#&gt; 1 m1 4.84 4.79307 0.046928
-#&gt; 1 m1 5.64 4.79307 0.846928
-#&gt; 3 m1 12.91 12.99398 -0.083980
-#&gt; 3 m1 12.96 12.99398 -0.033980
-#&gt; 7 m1 22.97 24.97744 -2.007441
-#&gt; 7 m1 24.47 24.97744 -0.507441
-#&gt; 14 m1 41.69 36.57917 5.110827
-#&gt; 14 m1 33.21 36.57917 -3.369173
-#&gt; 21 m1 44.37 41.52931 2.840692
-#&gt; 21 m1 46.44 41.52931 4.910692
-#&gt; 35 m1 41.22 43.22614 -2.006138
-#&gt; 35 m1 37.95 43.22614 -5.276138
-#&gt; 50 m1 41.19 41.20972 -0.019717
-#&gt; 50 m1 40.01 41.20972 -1.199717
-#&gt; 75 m1 40.09 36.57312 3.516882
-#&gt; 75 m1 33.85 36.57312 -2.723118
-#&gt; 100 m1 31.04 32.21655 -1.176546
-#&gt; 100 m1 33.13 32.21655 0.913454
-#&gt; 120 m1 25.15 29.09181 -3.941814
-#&gt; 120 m1 33.31 29.09181 4.218186</div><div class='input'>
+#&gt; 0 parent 99.46 100.73433 -1.274329
+#&gt; 0 parent 102.04 100.73433 1.305671
+#&gt; 1 parent 93.50 91.09750 2.402495
+#&gt; 1 parent 92.50 91.09750 1.402495
+#&gt; 3 parent 63.23 74.50140 -11.271403
+#&gt; 3 parent 68.99 74.50140 -5.511403
+#&gt; 7 parent 52.32 49.82880 2.491205
+#&gt; 7 parent 55.13 49.82880 5.301205
+#&gt; 14 parent 27.27 24.64809 2.621909
+#&gt; 14 parent 26.64 24.64809 1.991909
+#&gt; 21 parent 11.50 12.19231 -0.692315
+#&gt; 21 parent 11.64 12.19231 -0.552315
+#&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 -0.318668
+#&gt; 3 m1 12.96 13.22867 -0.268668
+#&gt; 7 m1 22.97 25.36416 -2.394164
+#&gt; 7 m1 24.47 25.36416 -0.894164
+#&gt; 14 m1 41.69 37.00974 4.680265
+#&gt; 14 m1 33.21 37.00974 -3.799735
+#&gt; 21 m1 44.37 41.90133 2.468670
+#&gt; 21 m1 46.44 41.90133 4.538670
+#&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 -0.151988
+#&gt; 50 m1 40.01 41.34199 -1.331988
+#&gt; 75 m1 40.09 36.61471 3.475290
+#&gt; 75 m1 33.85 36.61471 -2.764710
+#&gt; 100 m1 31.04 32.20083 -1.160830
+#&gt; 100 m1 33.13 32.20083 0.929170
+#&gt; 120 m1 25.15 29.04131 -3.891312
+#&gt; 120 m1 33.31 29.04131 4.268688</div><div class='input'>
</div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
diff --git a/docs/reference/mkinmod.html b/docs/reference/mkinmod.html
index 9ba463e3..9f417cf3 100644
--- a/docs/reference/mkinmod.html
+++ b/docs/reference/mkinmod.html
@@ -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 file2b304be466d0.c 2&gt; file2b304be466d0.c.err.txt
+#&gt; /usr/lib/R/bin/R CMD SHLIB file6d1314eef3d7.c 2&gt; file6d1314eef3d7.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 65918d53..d4e465d4 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 8cfb9374..05af0f15 100644
--- a/docs/reference/mkinparplot.html
+++ b/docs/reference/mkinparplot.html
@@ -154,7 +154,7 @@
<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>)</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'>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='input'><span class='fu'>mkinparplot</span>(<span class='no'>fit</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</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/mkinpredict.html b/docs/reference/mkinpredict.html
index 074ac3ac..8c5c50e4 100644
--- a/docs/reference/mkinpredict.html
+++ b/docs/reference/mkinpredict.html
@@ -333,12 +333,12 @@
<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 0.001 </div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/system.time'>system.time</a></span>(
+#&gt; 0.001 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; 0.022 0.000 0.021 </div><div class='input'>
+#&gt; 0.021 0.000 0.022 </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; <span class='message'>Ordinary least squares optimisation</span></div><div class='output co'>#&gt; Sum of squared residuals at call 1: 552.5739
#&gt; Sum of squared residuals at call 3: 552.5739
@@ -368,9 +368,7 @@
#&gt; Sum of squared residuals at call 59: 196.5334
#&gt; Sum of squared residuals at call 65: 196.5334
#&gt; Sum of squared residuals at call 73: 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; Negative log-likelihood at call 75: 26.64668</div><div class='output co'>#&gt; <span class='message'>Optimisation successfully terminated.</span></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
diff --git a/docs/reference/mmkin.html b/docs/reference/mmkin.html
index c730ecb0..849e619e 100644
--- a/docs/reference/mmkin.html
+++ b/docs/reference/mmkin.html
@@ -194,8 +194,8 @@
<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; 0.042 0.028 5.095 </div><div class='input'><span class='no'>time_1</span></div><div class='output co'>#&gt; User System verstrichen
-#&gt; 19.29 0.00 19.30 </div><div class='input'>
+#&gt; 0.039 0.031 3.113 </div><div class='input'><span class='no'>time_1</span></div><div class='output co'>#&gt; User System verstrichen
+#&gt; 10.445 0.001 10.456 </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; 0.7340481 0.2659519 0.7505684 0.2494316
diff --git a/docs/reference/nafta.html b/docs/reference/nafta.html
index a9ee2f76..62027fab 100644
--- a/docs/reference/nafta.html
+++ b/docs/reference/nafta.html
@@ -182,7 +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='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='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</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;
@@ -191,25 +191,25 @@
#&gt;
#&gt; Parameters:
#&gt; $SFO
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 83.7558 NA NA NA
+#&gt; k_parent_sink 0.0017 NA NA NA
+#&gt; sigma 8.7518 NA NA NA
#&gt;
#&gt; $IORE
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 9.69e+01 NA NA NA
+#&gt; k__iore_parent_sink 8.40e-14 NA NA NA
+#&gt; N_parent 6.68e+00 NA NA NA
+#&gt; sigma 5.85e+00 NA NA NA
#&gt;
#&gt; $DFOP
-#&gt; Estimate Pr(&gt;t) Lower Upper
-#&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; Estimate Pr(&gt;t) Lower Upper
+#&gt; parent_0 9.76e+01 NA NA NA
+#&gt; k1 4.24e-02 NA NA NA
+#&gt; k2 8.24e-04 NA NA NA
+#&gt; g 2.88e-01 NA NA NA
+#&gt; sigma 5.36e+00 NA NA NA
#&gt;
#&gt;
#&gt; DTx values:
diff --git a/docs/reference/summary.mkinfit.html b/docs/reference/summary.mkinfit.html
index 351d7a7e..a4f3d04f 100644
--- a/docs/reference/summary.mkinfit.html
+++ b/docs/reference/summary.mkinfit.html
@@ -209,17 +209,17 @@
<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: 0.9.49.4
+ <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; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; mkin version used for fitting: 0.9.49.4
#&gt; R version used for fitting: 3.6.0
-#&gt; Date of fit: Fri May 3 19:08:31 2019
-#&gt; Date of summary: Fri May 3 19:08:31 2019
+#&gt; Date of fit: Tue May 7 08:09:03 2019
+#&gt; Date of summary: Tue May 7 08:09:03 2019
#&gt;
#&gt; Equations:
#&gt; d_parent/dt = - k_parent_sink * parent
#&gt;
#&gt; Model predictions using solution type analytical
#&gt;
-#&gt; Fitted using 131 model solutions performed in 0.27 s
+#&gt; Fitted using 39 model solutions performed in 0.08 s
#&gt;
#&gt; Error model:
#&gt; Constant variance
@@ -240,25 +240,21 @@
#&gt; None
#&gt;
#&gt; Optimised, transformed parameters with symmetric confidence intervals:
-#&gt; Estimate Std. Error Lower Upper
-#&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; Estimate Std. Error Lower Upper
+#&gt; parent_0 109.200 NA NA NA
+#&gt; log_k_parent_sink -3.291 NA NA NA
+#&gt; sigma 5.266 NA NA NA
#&gt;
#&gt; Parameter correlation:
-#&gt; parent_0 log_k_parent_sink sigma
-#&gt; parent_0 1.000e+00 5.428e-01 1.648e-07
-#&gt; log_k_parent_sink 5.428e-01 1.000e+00 2.513e-07
-#&gt; sigma 1.648e-07 2.513e-07 1.000e+00
-#&gt;
+#&gt; No covariance matrix
#&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 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; Estimate t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 109.20000 NA NA NA NA
+#&gt; k_parent_sink 0.03722 NA NA NA NA
+#&gt; sigma 5.26600 NA NA NA NA
#&gt;
#&gt; FOCUS Chi2 error levels in percent:
#&gt; err.min n.optim df
diff --git a/docs/reference/test_data_from_UBA_2014.html b/docs/reference/test_data_from_UBA_2014.html
index bc988340..11cb6420 100644
--- a/docs/reference/test_data_from_UBA_2014.html
+++ b/docs/reference/test_data_from_UBA_2014.html
@@ -159,20 +159,13 @@
<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>)</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>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t)
-#&gt; parent_w_0 9.598567e+01 2.12351789 4.520126e+01 9.476190e-18
-#&gt; k_parent_w_sink 3.603743e-01 0.03149282 1.144306e+01 4.126593e-09
-#&gt; k_parent_w_parent_s 6.031371e-02 0.01603582 3.761186e+00 9.436275e-04
-#&gt; k_parent_s_sink 5.108964e-11 0.09482736 5.387647e-10 5.000000e-01
-#&gt; k_parent_s_parent_w 7.419672e-02 0.10737376 6.910135e-01 2.500560e-01
-#&gt; sigma 2.982879e+00 0.50545649 5.901356e+00 1.454535e-05
-#&gt; Lower Upper
-#&gt; parent_w_0 91.48420503 100.4871438
-#&gt; k_parent_w_sink 0.30668904 0.4234571
-#&gt; k_parent_w_parent_s 0.03423904 0.1062455
-#&gt; k_parent_s_sink 0.00000000 Inf
-#&gt; k_parent_s_parent_w 0.02289956 0.2404043
-#&gt; sigma 2.00184022 3.9639169</div><div class='input'> <span class='fu'><a href='mkinerrmin.html'>mkinerrmin</a></span>(<span class='no'>f_river</span>)</div><div class='output co'>#&gt; err.min n.optim df
+ <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f_river</span>)$<span class='no'>bpar</span></div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_w_0 9.598567e+01 NA NA NA NA NA
+#&gt; k_parent_w_sink 3.603743e-01 NA NA NA NA NA
+#&gt; k_parent_w_parent_s 6.031371e-02 NA NA NA NA NA
+#&gt; k_parent_s_sink 5.108964e-11 NA NA NA NA NA
+#&gt; k_parent_s_parent_w 7.419672e-02 NA NA NA NA NA
+#&gt; sigma 2.982879e+00 NA NA NA NA 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
#&gt; All data 0.09246946 5 6
#&gt; parent_w 0.06377096 3 3
#&gt; parent_s 0.20882325 2 3</div><div class='input'>
@@ -183,28 +176,17 @@
<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>]]$<span class='no'>data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'> <span class='fu'><a href='plot.mkinfit.html'>plot_sep</a></span>(<span class='no'>f_soil</span>, <span class='kw'>lpos</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"topright"</span>, <span class='st'>"topright"</span>, <span class='st'>"topright"</span>, <span class='st'>"bottomright"</span>))</div><div class='img'><img src='test_data_from_UBA_2014-2.png' alt='' width='700' height='433' /></div><div class='input'> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>f_soil</span>)$<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 0.859186619 89.1008474 1.113866e-26 74.755959756
-#&gt; k_parent 0.12081956 0.004601922 26.2541544 1.077373e-16 0.111561582
-#&gt; k_M1 0.84258649 0.806231419 1.0450926 1.545475e-01 0.113839803
-#&gt; k_M2 0.04210878 0.017083049 2.4649453 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 0.240803555 1.3388589 9.820820e-02 NA
-#&gt; f_parent_to_M2 0.16099854 0.033691991 4.7785403 6.531224e-05 NA
-#&gt; f_M1_to_M3 0.27921501 0.269443514 1.0362655 1.565440e-01 0.022992937
-#&gt; f_M2_to_M3 0.55641331 0.595125445 0.9349513 1.807725e-01 0.008003317
-#&gt; sigma 1.14005399 0.149696423 7.6157731 1.727024e-07 0.826735778
-#&gt; Upper
-#&gt; parent_0 78.35255192
-#&gt; k_parent 0.13084582
-#&gt; k_M1 6.23641265
-#&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 0.86443083
-#&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
+ <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; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
+#&gt; parent_0 76.55425584 NA NA NA NA NA
+#&gt; k_parent 0.12081956 NA NA NA NA NA
+#&gt; k_M1 0.84258649 NA NA NA NA NA
+#&gt; k_M2 0.04210878 NA NA NA NA NA
+#&gt; k_M3 0.01122919 NA NA NA NA NA
+#&gt; f_parent_to_M1 0.32240199 NA NA NA NA NA
+#&gt; f_parent_to_M2 0.16099854 NA NA NA NA NA
+#&gt; f_M1_to_M3 0.27921501 NA NA NA NA NA
+#&gt; f_M2_to_M3 0.55641331 NA NA NA NA NA
+#&gt; sigma 1.14005399 NA NA NA NA NA</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 7e05480e..c91565b9 100644
--- a/docs/reference/transform_odeparms.html
+++ b/docs/reference/transform_odeparms.html
@@ -202,32 +202,30 @@ 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>)</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>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.60 1.5702 96.40 102.79
-#&gt; log_k_parent_sink -3.04 0.0763 -3.19 -2.88
-#&gt; log_k_parent_m1 -2.98 0.0403 -3.06 -2.90
-#&gt; log_k_m1_sink -5.25 0.1332 -5.52 -4.98
-#&gt; sigma 3.13 0.3585 2.40 3.85</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<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'>
+<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>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='input'><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>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 99.60 NA NA NA
+#&gt; log_k_parent_sink -3.04 NA NA NA
+#&gt; log_k_parent_m1 -2.98 NA NA NA
+#&gt; log_k_m1_sink -5.25 NA NA NA
+#&gt; sigma 3.13 NA NA NA</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.s</span>$<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 NA NA NA NA NA
+#&gt; k_parent_sink 0.04792 NA NA NA NA NA
+#&gt; k_parent_m1 0.05078 NA NA NA NA NA
+#&gt; k_m1_sink 0.00526 NA NA NA NA NA
+#&gt; sigma 3.12550 NA NA NA NA NA</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>)</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>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
-#&gt; parent_0 99.59848 1.57022 96.40384 1.03e+02
-#&gt; k_parent_sink 0.04792 0.00365 0.04049 5.54e-02
-#&gt; k_parent_m1 0.05078 0.00205 0.04661 5.49e-02
-#&gt; k_m1_sink 0.00526 0.00070 0.00384 6.69e-03
-#&gt; sigma 3.12550 0.35852 2.39609 3.85e+00</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<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'>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>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></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>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 99.59848 NA NA NA
+#&gt; k_parent_sink 0.04792 NA NA NA
+#&gt; k_parent_m1 0.05078 NA NA NA
+#&gt; k_m1_sink 0.00526 NA NA NA
+#&gt; sigma 3.12550 NA NA NA</div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.2.s</span>$<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 NA NA NA NA NA
+#&gt; k_parent_sink 0.04792 NA NA NA NA NA
+#&gt; k_parent_m1 0.05078 NA NA NA NA NA
+#&gt; k_m1_sink 0.00526 NA NA NA NA NA
+#&gt; sigma 3.12550 NA NA NA NA NA</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>$<span class='no'>value</span>
@@ -240,18 +238,17 @@ The transformation of sets of formation fractions is fragile, as it supposes
<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"m1"</span>, <span class='kw'>sink</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>),
<span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/list'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>),
<span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'>
-<span class='no'>fit.ff</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.ff.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff</span>)
-<span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<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 1.5702 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>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 99.59848 1.57022 63.43 2.30e-36 96.40384 102.7931
-#&gt; k_parent 0.09870 0.00403 24.47 4.96e-23 0.09082 0.1073
-#&gt; k_m1 0.00526 0.00070 7.51 6.16e-09 0.00401 0.0069
-#&gt; f_parent_to_m1 0.51448 0.02230 23.07 3.10e-22 0.46912 0.5596
-#&gt; sigma 3.12550 0.35852 8.72 2.24e-10 2.39609 3.8549</div><div class='input'><span class='no'>initials</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/c'>c</a></span>(<span class='st'>"f_parent_to_m1"</span> <span class='kw'>=</span> <span class='fl'>0.5</span>)
+<span class='no'>fit.ff</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.ff.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 99.598 NA NA NA
+#&gt; log_k_parent -2.316 NA NA NA
+#&gt; log_k_m1 -5.248 NA NA NA
+#&gt; f_parent_ilr_1 0.041 NA NA NA
+#&gt; sigma 3.126 NA NA NA</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 NA NA NA NA NA
+#&gt; k_parent 0.09870 NA NA NA NA NA
+#&gt; k_m1 0.00526 NA NA NA NA NA
+#&gt; f_parent_to_m1 0.51448 NA NA NA NA NA
+#&gt; sigma 3.12550 NA NA NA NA NA</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'>
@@ -261,16 +258,15 @@ 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>)</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 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>$<span class='no'>bpar</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate se_notrans t value Pr(&gt;t) Lower Upper
-#&gt; parent_0 84.7916 3.01203 28.15 1.92e-25 78.6704 90.913
-#&gt; k_parent 0.0635 0.00521 12.19 2.91e-14 0.0538 0.075
-#&gt; k_m1 0.0148 0.00182 8.13 8.81e-10 0.0115 0.019
-#&gt; sigma 8.2229 0.94323 8.72 1.73e-10 6.3060 10.140</div></pre>
+<span class='no'>fit.ff.2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>SFO_SFO.ff.2</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>fit.ff.2.s</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/summary'>summary</a></span>(<span class='no'>fit.ff.2</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Could not calculate correlation; no covariance matrix</span></div><div class='input'><span class='fu'><a href='https://www.rdocumentation.org/packages/base/topics/print'>print</a></span>(<span class='no'>fit.ff.2.s</span>$<span class='no'>par</span>, <span class='fl'>3</span>)</div><div class='output co'>#&gt; Estimate Std. Error Lower Upper
+#&gt; parent_0 84.79 NA NA NA
+#&gt; log_k_parent -2.76 NA NA NA
+#&gt; log_k_m1 -4.21 NA NA NA
+#&gt; sigma 8.22 NA NA NA</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 NA NA NA NA NA
+#&gt; k_parent 0.0635 NA NA NA NA NA
+#&gt; k_m1 0.0148 NA NA NA NA NA
+#&gt; sigma 8.2229 NA NA NA NA NA</div></pre>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
<h2>Contents</h2>
diff --git a/vignettes/mkin_benchmarks.rda b/vignettes/mkin_benchmarks.rda
index 985cdac6..33137d8a 100644
--- a/vignettes/mkin_benchmarks.rda
+++ b/vignettes/mkin_benchmarks.rda
Binary files differ

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