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| author | Johannes Ranke <jranke@uni-bremen.de> | 2022-11-24 09:02:26 +0100 | 
|---|---|---|
| committer | Johannes Ranke <jranke@uni-bremen.de> | 2022-11-24 09:02:26 +0100 | 
| commit | af7c6de4db9981ac814362c441fbac22c8faa2d7 (patch) | |
| tree | 33c2963936ce6c38abe6533afcce3994a08d4ba9 /docs/dev/articles/FOCUS_D.html | |
| parent | 8e953c409e0020ea7e7c2a5121019c42cb66dde4 (diff) | |
Start online docs of the development version
Diffstat (limited to 'docs/dev/articles/FOCUS_D.html')
| -rw-r--r-- | docs/dev/articles/FOCUS_D.html | 411 | 
1 files changed, 213 insertions, 198 deletions
| diff --git a/docs/dev/articles/FOCUS_D.html b/docs/dev/articles/FOCUS_D.html index a35a255a..a7617d55 100644 --- a/docs/dev/articles/FOCUS_D.html +++ b/docs/dev/articles/FOCUS_D.html @@ -20,6 +20,8 @@  <![endif]-->  </head>  <body data-spy="scroll" data-target="#toc"> +     +      <div class="container template-article">        <header><div class="navbar navbar-default navbar-fixed-top" role="navigation">    <div class="container"> @@ -32,7 +34,7 @@        </button>        <span class="navbar-brand">          <a class="navbar-link" href="../index.html">mkin</a> -        <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.0.3.9000</span> +        <span class="version label label-info" data-toggle="tooltip" data-placement="bottom" title="In-development version">1.2.2</span>        </span>      </div> @@ -42,7 +44,7 @@    <a href="../reference/index.html">Functions and data</a>  </li>  <li class="dropdown"> -  <a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" aria-expanded="false"> +  <a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" data-bs-toggle="dropdown" aria-expanded="false">      Articles      <span class="caret"></span> @@ -58,19 +60,28 @@        <a href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a>      </li>      <li> -      <a href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a> +      <a href="../articles/web_only/dimethenamid_2018.html">Example evaluations of dimethenamid data from 2018 with nonlinear mixed-effects models</a> +    </li> +    <li> +      <a href="../articles/web_only/multistart.html">Short demo of the multistart method</a>      </li>      <li>        <a href="../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a>      </li>      <li> +      <a href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a> +    </li> +    <li>        <a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a>      </li>      <li>        <a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a>      </li>      <li> -      <a href="../articles/web_only/benchmarks.html">Some benchmark timings</a> +      <a href="../articles/web_only/benchmarks.html">Benchmark timings for mkin</a> +    </li> +    <li> +      <a href="../articles/web_only/saem_benchmarks.html">Benchmark timings for saem.mmkin</a>      </li>    </ul>  </li> @@ -80,7 +91,7 @@        </ul>  <ul class="nav navbar-nav navbar-right">  <li> -  <a href="https://github.com/jranke/mkin/"> +  <a href="https://github.com/jranke/mkin/" class="external-link">      <span class="fab fa-github fa-lg"></span>    </a> @@ -95,15 +106,15 @@ -      </header><script src="FOCUS_D_files/header-attrs-2.6/header-attrs.js"></script><script src="FOCUS_D_files/accessible-code-block-0.0.1/empty-anchor.js"></script><div class="row"> +      </header><script src="FOCUS_D_files/accessible-code-block-0.0.1/empty-anchor.js"></script><div class="row">    <div class="col-md-9 contents">      <div class="page-header toc-ignore">        <h1 data-toc-skip>Example evaluation of FOCUS Example Dataset D</h1> -                        <h4 class="author">Johannes Ranke</h4> +                        <h4 data-toc-skip class="author">Johannes Ranke</h4> -            <h4 class="date">Last change 31 January 2019 (rebuilt 2021-02-15)</h4> +            <h4 data-toc-skip class="date">Last change 31 January 2019 (rebuilt 2022-11-24)</h4> -      <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/master/vignettes/FOCUS_D.rmd"><code>vignettes/FOCUS_D.rmd</code></a></small> +      <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/vignettes/FOCUS_D.rmd" class="external-link"><code>vignettes/FOCUS_D.rmd</code></a></small>        <div class="hidden name"><code>FOCUS_D.rmd</code></div>      </div> @@ -112,207 +123,207 @@  <p>This is just a very simple vignette showing how to fit a degradation model for a parent compound with one transformation product using <code>mkin</code>. After loading the library we look at the data. We have observed concentrations in the column named <code>value</code> at the times specified in column <code>time</code> for the two observed variables named <code>parent</code> and <code>m1</code>.</p>  <div class="sourceCode" id="cb1"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="kw"><a href="https://rdrr.io/r/base/library.html">library</a></span><span class="op">(</span><span class="va"><a href="https://pkgdown.jrwb.de/mkin/">mkin</a></span>, quietly <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span> -<span class="fu"><a href="https://rdrr.io/r/base/print.html">print</a></span><span class="op">(</span><span class="va">FOCUS_2006_D</span><span class="op">)</span></code></pre></div> -<pre><code>##      name time  value -## 1  parent    0  99.46 -## 2  parent    0 102.04 -## 3  parent    1  93.50 -## 4  parent    1  92.50 -## 5  parent    3  63.23 -## 6  parent    3  68.99 -## 7  parent    7  52.32 -## 8  parent    7  55.13 -## 9  parent   14  27.27 -## 10 parent   14  26.64 -## 11 parent   21  11.50 -## 12 parent   21  11.64 -## 13 parent   35   2.85 -## 14 parent   35   2.91 -## 15 parent   50   0.69 -## 16 parent   50   0.63 -## 17 parent   75   0.05 -## 18 parent   75   0.06 -## 19 parent  100     NA -## 20 parent  100     NA -## 21 parent  120     NA -## 22 parent  120     NA -## 23     m1    0   0.00 -## 24     m1    0   0.00 -## 25     m1    1   4.84 -## 26     m1    1   5.64 -## 27     m1    3  12.91 -## 28     m1    3  12.96 -## 29     m1    7  22.97 -## 30     m1    7  24.47 -## 31     m1   14  41.69 -## 32     m1   14  33.21 -## 33     m1   21  44.37 -## 34     m1   21  46.44 -## 35     m1   35  41.22 -## 36     m1   35  37.95 -## 37     m1   50  41.19 -## 38     m1   50  40.01 -## 39     m1   75  40.09 -## 40     m1   75  33.85 -## 41     m1  100  31.04 -## 42     m1  100  33.13 -## 43     m1  120  25.15 -## 44     m1  120  33.31</code></pre> +<code class="sourceCode R"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://pkgdown.jrwb.de/mkin/">mkin</a></span>, quietly <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span> +<span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">FOCUS_2006_D</span><span class="op">)</span></span></code></pre></div> +<pre><code><span><span class="co">##      name time  value</span></span> +<span><span class="co">## 1  parent    0  99.46</span></span> +<span><span class="co">## 2  parent    0 102.04</span></span> +<span><span class="co">## 3  parent    1  93.50</span></span> +<span><span class="co">## 4  parent    1  92.50</span></span> +<span><span class="co">## 5  parent    3  63.23</span></span> +<span><span class="co">## 6  parent    3  68.99</span></span> +<span><span class="co">## 7  parent    7  52.32</span></span> +<span><span class="co">## 8  parent    7  55.13</span></span> +<span><span class="co">## 9  parent   14  27.27</span></span> +<span><span class="co">## 10 parent   14  26.64</span></span> +<span><span class="co">## 11 parent   21  11.50</span></span> +<span><span class="co">## 12 parent   21  11.64</span></span> +<span><span class="co">## 13 parent   35   2.85</span></span> +<span><span class="co">## 14 parent   35   2.91</span></span> +<span><span class="co">## 15 parent   50   0.69</span></span> +<span><span class="co">## 16 parent   50   0.63</span></span> +<span><span class="co">## 17 parent   75   0.05</span></span> +<span><span class="co">## 18 parent   75   0.06</span></span> +<span><span class="co">## 19 parent  100     NA</span></span> +<span><span class="co">## 20 parent  100     NA</span></span> +<span><span class="co">## 21 parent  120     NA</span></span> +<span><span class="co">## 22 parent  120     NA</span></span> +<span><span class="co">## 23     m1    0   0.00</span></span> +<span><span class="co">## 24     m1    0   0.00</span></span> +<span><span class="co">## 25     m1    1   4.84</span></span> +<span><span class="co">## 26     m1    1   5.64</span></span> +<span><span class="co">## 27     m1    3  12.91</span></span> +<span><span class="co">## 28     m1    3  12.96</span></span> +<span><span class="co">## 29     m1    7  22.97</span></span> +<span><span class="co">## 30     m1    7  24.47</span></span> +<span><span class="co">## 31     m1   14  41.69</span></span> +<span><span class="co">## 32     m1   14  33.21</span></span> +<span><span class="co">## 33     m1   21  44.37</span></span> +<span><span class="co">## 34     m1   21  46.44</span></span> +<span><span class="co">## 35     m1   35  41.22</span></span> +<span><span class="co">## 36     m1   35  37.95</span></span> +<span><span class="co">## 37     m1   50  41.19</span></span> +<span><span class="co">## 38     m1   50  40.01</span></span> +<span><span class="co">## 39     m1   75  40.09</span></span> +<span><span class="co">## 40     m1   75  33.85</span></span> +<span><span class="co">## 41     m1  100  31.04</span></span> +<span><span class="co">## 42     m1  100  33.13</span></span> +<span><span class="co">## 43     m1  120  25.15</span></span> +<span><span class="co">## 44     m1  120  33.31</span></span></code></pre>  <p>Next we specify the degradation model: The parent compound degrades with simple first-order kinetics (SFO) to one metabolite named m1, which also degrades with SFO kinetics.</p>  <p>The call to mkinmod returns a degradation model. The differential equations represented in R code can be found in the character vector <code>$diffs</code> of the <code>mkinmod</code> object. If a C compiler (gcc) is installed and functional, the differential equation model will be compiled from auto-generated C code.</p>  <div class="sourceCode" id="cb3"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="va">SFO_SFO</span> <span class="op"><-</span> <span class="fu"><a href="../reference/mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="../reference/mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"m1"</span><span class="op">)</span>, m1 <span class="op">=</span> <span class="fu"><a href="../reference/mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span><span class="op">)</span></code></pre></div> -<pre><code>## Temporary DLL for differentials generated and loaded</code></pre> +<code class="sourceCode R"><span><span class="va">SFO_SFO</span> <span class="op"><-</span> <span class="fu"><a href="../reference/mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="../reference/mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"m1"</span><span class="op">)</span>, m1 <span class="op">=</span> <span class="fu"><a href="../reference/mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div> +<pre><code><span><span class="co">## Temporary DLL for differentials generated and loaded</span></span></code></pre>  <div class="sourceCode" id="cb5"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="fu"><a href="https://rdrr.io/r/base/print.html">print</a></span><span class="op">(</span><span class="va">SFO_SFO</span><span class="op">$</span><span class="va">diffs</span><span class="op">)</span></code></pre></div> -<pre><code>##                                                    parent  -##                          "d_parent = - k_parent * parent"  -##                                                        m1  -## "d_m1 = + f_parent_to_m1 * k_parent * parent - k_m1 * m1"</code></pre> +<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">SFO_SFO</span><span class="op">$</span><span class="va">diffs</span><span class="op">)</span></span></code></pre></div> +<pre><code><span><span class="co">##                                                    parent </span></span> +<span><span class="co">##                          "d_parent = - k_parent * parent" </span></span> +<span><span class="co">##                                                        m1 </span></span> +<span><span class="co">## "d_m1 = + f_parent_to_m1 * k_parent * parent - k_m1 * m1"</span></span></code></pre>  <p>We do the fitting without progress report (<code>quiet = TRUE</code>).</p>  <div class="sourceCode" id="cb7"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="va">fit</span> <span class="op"><-</span> <span class="fu"><a href="../reference/mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="va">SFO_SFO</span>, <span class="va">FOCUS_2006_D</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></code></pre></div> -<pre><code>## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE): Observations with value -## of zero were removed from the data</code></pre> +<code class="sourceCode R"><span><span class="va">fit</span> <span class="op"><-</span> <span class="fu"><a href="../reference/mkinfit.html">mkinfit</a></span><span class="op">(</span><span class="va">SFO_SFO</span>, <span class="va">FOCUS_2006_D</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></code></pre></div> +<pre><code><span><span class="co">## Warning in mkinfit(SFO_SFO, FOCUS_2006_D, quiet = TRUE): Observations with value</span></span> +<span><span class="co">## of zero were removed from the data</span></span></code></pre>  <p>A plot of the fit including a residual plot for both observed variables is obtained using the <code>plot_sep</code> method for <code>mkinfit</code> objects, which shows separate graphs for all compounds and their residuals.</p>  <div class="sourceCode" id="cb9"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="fu"><a href="../reference/plot.mkinfit.html">plot_sep</a></span><span class="op">(</span><span class="va">fit</span>, lpos <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html">c</a></span><span class="op">(</span><span class="st">"topright"</span>, <span class="st">"bottomright"</span><span class="op">)</span><span class="op">)</span></code></pre></div> +<code class="sourceCode R"><span><span class="fu"><a href="../reference/plot.mkinfit.html">plot_sep</a></span><span class="op">(</span><span class="va">fit</span>, lpos <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"topright"</span>, <span class="st">"bottomright"</span><span class="op">)</span><span class="op">)</span></span></code></pre></div>  <p><img src="FOCUS_D_files/figure-html/plot-1.png" width="768"></p>  <p>Confidence intervals for the parameter estimates are obtained using the <code>mkinparplot</code> function.</p>  <div class="sourceCode" id="cb10"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="fu"><a href="../reference/mkinparplot.html">mkinparplot</a></span><span class="op">(</span><span class="va">fit</span><span class="op">)</span></code></pre></div> +<code class="sourceCode R"><span><span class="fu"><a href="../reference/mkinparplot.html">mkinparplot</a></span><span class="op">(</span><span class="va">fit</span><span class="op">)</span></span></code></pre></div>  <p><img src="FOCUS_D_files/figure-html/plot_2-1.png" width="768"></p>  <p>A comprehensive report of the results is obtained using the <code>summary</code> method for <code>mkinfit</code> objects.</p>  <div class="sourceCode" id="cb11"><pre class="downlit sourceCode r"> -<code class="sourceCode R"><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html">summary</a></span><span class="op">(</span><span class="va">fit</span><span class="op">)</span></code></pre></div> -<pre><code>## mkin version used for fitting:    1.0.3.9000  -## R version used for fitting:       4.0.3  -## Date of fit:     Mon Feb 15 17:13:36 2021  -## Date of summary: Mon Feb 15 17:13:37 2021  -##  -## Equations: -## d_parent/dt = - k_parent * parent -## d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1 -##  -## Model predictions using solution type analytical  -##  -## Fitted using 401 model solutions performed in 0.161 s -##  -## Error model: Constant variance  -##  -## Error model algorithm: OLS  -##  -## Starting values for parameters to be optimised: -##                   value   type -## parent_0       100.7500  state -## k_parent         0.1000 deparm -## k_m1             0.1001 deparm -## f_parent_to_m1   0.5000 deparm -##  -## Starting values for the transformed parameters actually optimised: -##                      value lower upper -## parent_0        100.750000  -Inf   Inf -## log_k_parent     -2.302585  -Inf   Inf -## log_k_m1         -2.301586  -Inf   Inf -## f_parent_qlogis   0.000000  -Inf   Inf -##  -## Fixed parameter values: -##      value  type -## m1_0     0 state -##  -##  -## Warning(s):  -## Observations with value of zero were removed from the data -##  -## Results: -##  -##        AIC      BIC    logLik -##   204.4486 212.6365 -97.22429 -##  -## Optimised, transformed parameters with symmetric confidence intervals: -##                 Estimate Std. Error   Lower    Upper -## parent_0        99.60000    1.57000 96.4000 102.8000 -## log_k_parent    -2.31600    0.04087 -2.3990  -2.2330 -## log_k_m1        -5.24700    0.13320 -5.5180  -4.9770 -## f_parent_qlogis  0.05792    0.08926 -0.1237   0.2395 -## sigma            3.12600    0.35850  2.3960   3.8550 -##  -## Parameter correlation: -##                   parent_0 log_k_parent   log_k_m1 f_parent_qlogis      sigma -## parent_0         1.000e+00    5.174e-01 -1.688e-01      -5.471e-01 -1.172e-06 -## log_k_parent     5.174e-01    1.000e+00 -3.263e-01      -5.426e-01 -8.483e-07 -## log_k_m1        -1.688e-01   -3.263e-01  1.000e+00       7.478e-01  8.205e-07 -## f_parent_qlogis -5.471e-01   -5.426e-01  7.478e-01       1.000e+00  1.305e-06 -## sigma           -1.172e-06   -8.483e-07  8.205e-07       1.305e-06  1.000e+00 -##  -## Backtransformed parameters: -## Confidence intervals for internally transformed parameters are asymmetric. -## t-test (unrealistically) based on the assumption of normal distribution -## for estimators of untransformed parameters. -##                 Estimate t value    Pr(>t)     Lower     Upper -## parent_0       99.600000  63.430 2.298e-36 96.400000 1.028e+02 -## k_parent        0.098700  24.470 4.955e-23  0.090820 1.073e-01 -## k_m1            0.005261   7.510 6.165e-09  0.004012 6.898e-03 -## f_parent_to_m1  0.514500  23.070 3.104e-22  0.469100 5.596e-01 -## sigma           3.126000   8.718 2.235e-10  2.396000 3.855e+00 -##  -## FOCUS Chi2 error levels in percent: -##          err.min n.optim df -## All data   6.398       4 15 -## parent     6.459       2  7 -## m1         4.690       2  8 -##  -## Resulting formation fractions: -##                 ff -## parent_m1   0.5145 -## parent_sink 0.4855 -##  -## Estimated disappearance times: -##           DT50   DT90 -## parent   7.023  23.33 -## m1     131.761 437.70 -##  -## Data: -##  time variable observed predicted   residual -##     0   parent    99.46  99.59848 -1.385e-01 -##     0   parent   102.04  99.59848  2.442e+00 -##     1   parent    93.50  90.23787  3.262e+00 -##     1   parent    92.50  90.23787  2.262e+00 -##     3   parent    63.23  74.07319 -1.084e+01 -##     3   parent    68.99  74.07319 -5.083e+00 -##     7   parent    52.32  49.91207  2.408e+00 -##     7   parent    55.13  49.91207  5.218e+00 -##    14   parent    27.27  25.01258  2.257e+00 -##    14   parent    26.64  25.01258  1.627e+00 -##    21   parent    11.50  12.53462 -1.035e+00 -##    21   parent    11.64  12.53462 -8.946e-01 -##    35   parent     2.85   3.14787 -2.979e-01 -##    35   parent     2.91   3.14787 -2.379e-01 -##    50   parent     0.69   0.71624 -2.624e-02 -##    50   parent     0.63   0.71624 -8.624e-02 -##    75   parent     0.05   0.06074 -1.074e-02 -##    75   parent     0.06   0.06074 -7.382e-04 -##     1       m1     4.84   4.80296  3.704e-02 -##     1       m1     5.64   4.80296  8.370e-01 -##     3       m1    12.91  13.02400 -1.140e-01 -##     3       m1    12.96  13.02400 -6.400e-02 -##     7       m1    22.97  25.04476 -2.075e+00 -##     7       m1    24.47  25.04476 -5.748e-01 -##    14       m1    41.69  36.69003  5.000e+00 -##    14       m1    33.21  36.69003 -3.480e+00 -##    21       m1    44.37  41.65310  2.717e+00 -##    21       m1    46.44  41.65310  4.787e+00 -##    35       m1    41.22  43.31313 -2.093e+00 -##    35       m1    37.95  43.31313 -5.363e+00 -##    50       m1    41.19  41.21832 -2.832e-02 -##    50       m1    40.01  41.21832 -1.208e+00 -##    75       m1    40.09  36.44704  3.643e+00 -##    75       m1    33.85  36.44704 -2.597e+00 -##   100       m1    31.04  31.98162 -9.416e-01 -##   100       m1    33.13  31.98162  1.148e+00 -##   120       m1    25.15  28.78984 -3.640e+00 -##   120       m1    33.31  28.78984  4.520e+00</code></pre> +<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">fit</span><span class="op">)</span></span></code></pre></div> +<pre><code><span><span class="co">## mkin version used for fitting:    1.2.2 </span></span> +<span><span class="co">## R version used for fitting:       4.2.2 </span></span> +<span><span class="co">## Date of fit:     Thu Nov 24 08:12:04 2022 </span></span> +<span><span class="co">## Date of summary: Thu Nov 24 08:12:05 2022 </span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Equations:</span></span> +<span><span class="co">## d_parent/dt = - k_parent * parent</span></span> +<span><span class="co">## d_m1/dt = + f_parent_to_m1 * k_parent * parent - k_m1 * m1</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Model predictions using solution type analytical </span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Fitted using 401 model solutions performed in 0.152 s</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Error model: Constant variance </span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Error model algorithm: OLS </span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Starting values for parameters to be optimised:</span></span> +<span><span class="co">##                   value   type</span></span> +<span><span class="co">## parent_0       100.7500  state</span></span> +<span><span class="co">## k_parent         0.1000 deparm</span></span> +<span><span class="co">## k_m1             0.1001 deparm</span></span> +<span><span class="co">## f_parent_to_m1   0.5000 deparm</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Starting values for the transformed parameters actually optimised:</span></span> +<span><span class="co">##                      value lower upper</span></span> +<span><span class="co">## parent_0        100.750000  -Inf   Inf</span></span> +<span><span class="co">## log_k_parent     -2.302585  -Inf   Inf</span></span> +<span><span class="co">## log_k_m1         -2.301586  -Inf   Inf</span></span> +<span><span class="co">## f_parent_qlogis   0.000000  -Inf   Inf</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Fixed parameter values:</span></span> +<span><span class="co">##      value  type</span></span> +<span><span class="co">## m1_0     0 state</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Warning(s): </span></span> +<span><span class="co">## Observations with value of zero were removed from the data</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Results:</span></span> +<span><span class="co">## </span></span> +<span><span class="co">##        AIC      BIC    logLik</span></span> +<span><span class="co">##   204.4486 212.6365 -97.22429</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Optimised, transformed parameters with symmetric confidence intervals:</span></span> +<span><span class="co">##                 Estimate Std. Error   Lower    Upper</span></span> +<span><span class="co">## parent_0        99.60000    1.57000 96.4000 102.8000</span></span> +<span><span class="co">## log_k_parent    -2.31600    0.04087 -2.3990  -2.2330</span></span> +<span><span class="co">## log_k_m1        -5.24700    0.13320 -5.5180  -4.9770</span></span> +<span><span class="co">## f_parent_qlogis  0.05792    0.08926 -0.1237   0.2395</span></span> +<span><span class="co">## sigma            3.12600    0.35850  2.3960   3.8550</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Parameter correlation:</span></span> +<span><span class="co">##                   parent_0 log_k_parent   log_k_m1 f_parent_qlogis      sigma</span></span> +<span><span class="co">## parent_0         1.000e+00    5.174e-01 -1.688e-01      -5.471e-01 -1.172e-06</span></span> +<span><span class="co">## log_k_parent     5.174e-01    1.000e+00 -3.263e-01      -5.426e-01 -8.483e-07</span></span> +<span><span class="co">## log_k_m1        -1.688e-01   -3.263e-01  1.000e+00       7.478e-01  8.205e-07</span></span> +<span><span class="co">## f_parent_qlogis -5.471e-01   -5.426e-01  7.478e-01       1.000e+00  1.305e-06</span></span> +<span><span class="co">## sigma           -1.172e-06   -8.483e-07  8.205e-07       1.305e-06  1.000e+00</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Backtransformed parameters:</span></span> +<span><span class="co">## Confidence intervals for internally transformed parameters are asymmetric.</span></span> +<span><span class="co">## t-test (unrealistically) based on the assumption of normal distribution</span></span> +<span><span class="co">## for estimators of untransformed parameters.</span></span> +<span><span class="co">##                 Estimate t value    Pr(>t)     Lower     Upper</span></span> +<span><span class="co">## parent_0       99.600000  63.430 2.298e-36 96.400000 1.028e+02</span></span> +<span><span class="co">## k_parent        0.098700  24.470 4.955e-23  0.090820 1.073e-01</span></span> +<span><span class="co">## k_m1            0.005261   7.510 6.165e-09  0.004012 6.898e-03</span></span> +<span><span class="co">## f_parent_to_m1  0.514500  23.070 3.104e-22  0.469100 5.596e-01</span></span> +<span><span class="co">## sigma           3.126000   8.718 2.235e-10  2.396000 3.855e+00</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## FOCUS Chi2 error levels in percent:</span></span> +<span><span class="co">##          err.min n.optim df</span></span> +<span><span class="co">## All data   6.398       4 15</span></span> +<span><span class="co">## parent     6.459       2  7</span></span> +<span><span class="co">## m1         4.690       2  8</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Resulting formation fractions:</span></span> +<span><span class="co">##                 ff</span></span> +<span><span class="co">## parent_m1   0.5145</span></span> +<span><span class="co">## parent_sink 0.4855</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Estimated disappearance times:</span></span> +<span><span class="co">##           DT50   DT90</span></span> +<span><span class="co">## parent   7.023  23.33</span></span> +<span><span class="co">## m1     131.761 437.70</span></span> +<span><span class="co">## </span></span> +<span><span class="co">## Data:</span></span> +<span><span class="co">##  time variable observed predicted   residual</span></span> +<span><span class="co">##     0   parent    99.46  99.59848 -1.385e-01</span></span> +<span><span class="co">##     0   parent   102.04  99.59848  2.442e+00</span></span> +<span><span class="co">##     1   parent    93.50  90.23787  3.262e+00</span></span> +<span><span class="co">##     1   parent    92.50  90.23787  2.262e+00</span></span> +<span><span class="co">##     3   parent    63.23  74.07319 -1.084e+01</span></span> +<span><span class="co">##     3   parent    68.99  74.07319 -5.083e+00</span></span> +<span><span class="co">##     7   parent    52.32  49.91207  2.408e+00</span></span> +<span><span class="co">##     7   parent    55.13  49.91207  5.218e+00</span></span> +<span><span class="co">##    14   parent    27.27  25.01258  2.257e+00</span></span> +<span><span class="co">##    14   parent    26.64  25.01258  1.627e+00</span></span> +<span><span class="co">##    21   parent    11.50  12.53462 -1.035e+00</span></span> +<span><span class="co">##    21   parent    11.64  12.53462 -8.946e-01</span></span> +<span><span class="co">##    35   parent     2.85   3.14787 -2.979e-01</span></span> +<span><span class="co">##    35   parent     2.91   3.14787 -2.379e-01</span></span> +<span><span class="co">##    50   parent     0.69   0.71624 -2.624e-02</span></span> +<span><span class="co">##    50   parent     0.63   0.71624 -8.624e-02</span></span> +<span><span class="co">##    75   parent     0.05   0.06074 -1.074e-02</span></span> +<span><span class="co">##    75   parent     0.06   0.06074 -7.382e-04</span></span> +<span><span class="co">##     1       m1     4.84   4.80296  3.704e-02</span></span> +<span><span class="co">##     1       m1     5.64   4.80296  8.370e-01</span></span> +<span><span class="co">##     3       m1    12.91  13.02400 -1.140e-01</span></span> +<span><span class="co">##     3       m1    12.96  13.02400 -6.400e-02</span></span> +<span><span class="co">##     7       m1    22.97  25.04476 -2.075e+00</span></span> +<span><span class="co">##     7       m1    24.47  25.04476 -5.748e-01</span></span> +<span><span class="co">##    14       m1    41.69  36.69003  5.000e+00</span></span> +<span><span class="co">##    14       m1    33.21  36.69003 -3.480e+00</span></span> +<span><span class="co">##    21       m1    44.37  41.65310  2.717e+00</span></span> +<span><span class="co">##    21       m1    46.44  41.65310  4.787e+00</span></span> +<span><span class="co">##    35       m1    41.22  43.31313 -2.093e+00</span></span> +<span><span class="co">##    35       m1    37.95  43.31313 -5.363e+00</span></span> +<span><span class="co">##    50       m1    41.19  41.21832 -2.832e-02</span></span> +<span><span class="co">##    50       m1    40.01  41.21832 -1.208e+00</span></span> +<span><span class="co">##    75       m1    40.09  36.44704  3.643e+00</span></span> +<span><span class="co">##    75       m1    33.85  36.44704 -2.597e+00</span></span> +<span><span class="co">##   100       m1    31.04  31.98162 -9.416e-01</span></span> +<span><span class="co">##   100       m1    33.13  31.98162  1.148e+00</span></span> +<span><span class="co">##   120       m1    25.15  28.78984 -3.640e+00</span></span> +<span><span class="co">##   120       m1    33.31  28.78984  4.520e+00</span></span></code></pre>    </div>    <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar"> @@ -324,11 +335,13 @@        <footer><div class="copyright"> -  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