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-<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Fit nonlinear mixed models with SAEM — saem • mkin</title><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Fit nonlinear mixed models with SAEM — saem"><meta property="og:description" content="This function uses saemix::saemix() as a backend for fitting nonlinear mixed
+<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><title>Fit nonlinear mixed models with SAEM — saem • mkin</title><script src="../deps/jquery-3.6.0/jquery-3.6.0.min.js"></script><meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"><link href="../deps/bootstrap-5.3.1/bootstrap.min.css" rel="stylesheet"><script src="../deps/bootstrap-5.3.1/bootstrap.bundle.min.js"></script><link href="../deps/font-awesome-6.5.2/css/all.min.css" rel="stylesheet"><link href="../deps/font-awesome-6.5.2/css/v4-shims.min.css" rel="stylesheet"><script src="../deps/headroom-0.11.0/headroom.min.js"></script><script src="../deps/headroom-0.11.0/jQuery.headroom.min.js"></script><script src="../deps/bootstrap-toc-1.0.1/bootstrap-toc.min.js"></script><script src="../deps/clipboard.js-2.0.11/clipboard.min.js"></script><script src="../deps/search-1.0.0/autocomplete.jquery.min.js"></script><script src="../deps/search-1.0.0/fuse.min.js"></script><script src="../deps/search-1.0.0/mark.min.js"></script><!-- pkgdown --><script src="../pkgdown.js"></script><meta property="og:title" content="Fit nonlinear mixed models with SAEM — saem"><meta name="description" content="This function uses saemix::saemix() as a backend for fitting nonlinear mixed
effects models created from mmkin row objects using the Stochastic Approximation
-Expectation Maximisation algorithm (SAEM)."><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
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+Expectation Maximisation algorithm (SAEM)."><meta property="og:description" content="This function uses saemix::saemix() as a backend for fitting nonlinear mixed
+effects models created from mmkin row objects using the Stochastic Approximation
+Expectation Maximisation algorithm (SAEM)."></head><body>
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+ <li><a class="dropdown-item" href="../articles/prebuilt/2022_dmta_parent.html">Testing hierarchical parent degradation kinetics with residue data on dimethenamid and dimethenamid-P</a></li>
+ <li><a class="dropdown-item" href="../articles/prebuilt/2022_dmta_pathway.html">Testing hierarchical pathway kinetics with residue data on dimethenamid and dimethenamid-P</a></li>
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+ <li><a class="dropdown-item" href="../articles/prebuilt/2022_cyan_pathway.html">Testing hierarchical pathway kinetics with residue data on cyantraniliprole</a></li>
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+ <li><a class="dropdown-item" href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a></li>
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- <h1>Fit nonlinear mixed models with SAEM</h1>
- <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/saem.R" class="external-link"><code>R/saem.R</code></a></small>
- <div class="hidden name"><code>saem.Rd</code></div>
+<li class="nav-item"><a class="nav-link" href="../coverage/coverage.html">Test coverage</a></li>
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+</nav><div class="container template-reference-topic">
+<div class="row">
+ <main id="main" class="col-md-9"><div class="page-header">
+
+ <h1>Fit nonlinear mixed models with SAEM</h1>
+ <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/saem.R" class="external-link"><code>R/saem.R</code></a></small>
+ <div class="d-none name"><code>saem.Rd</code></div>
</div>
- <div class="ref-description">
+ <div class="ref-description section level2">
<p>This function uses <code><a href="https://rdrr.io/pkg/saemix/man/saemix.html" class="external-link">saemix::saemix()</a></code> as a backend for fitting nonlinear mixed
effects models created from <a href="mmkin.html">mmkin</a> row objects using the Stochastic Approximation
Expectation Maximisation algorithm (SAEM).</p>
</div>
- <div id="ref-usage">
+ <div class="section level2">
+ <h2 id="ref-usage">Usage<a class="anchor" aria-label="anchor" href="#ref-usage"></a></h2>
<div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">saem</span><span class="op">(</span><span class="va">object</span>, <span class="va">...</span><span class="op">)</span></span>
<span></span>
-<span><span class="co"># S3 method for mmkin</span></span>
+<span><span class="co"># S3 method for class 'mmkin'</span></span>
<span><span class="fu">saem</span><span class="op">(</span></span>
<span> <span class="va">object</span>,</span>
<span> transformations <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">"mkin"</span>, <span class="st">"saemix"</span><span class="op">)</span>,</span>
@@ -142,7 +97,7 @@ Expectation Maximisation algorithm (SAEM).</p>
<span> <span class="va">...</span></span>
<span><span class="op">)</span></span>
<span></span>
-<span><span class="co"># S3 method for saem.mmkin</span></span>
+<span><span class="co"># S3 method for class 'saem.mmkin'</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">x</span>, digits <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fu"><a href="https://rdrr.io/r/base/options.html" class="external-link">getOption</a></span><span class="op">(</span><span class="st">"digits"</span><span class="op">)</span> <span class="op">-</span> <span class="fl">3</span><span class="op">)</span>, <span class="va">...</span><span class="op">)</span></span>
<span></span>
<span><span class="fu">saemix_model</span><span class="op">(</span></span>
@@ -166,18 +121,20 @@ Expectation Maximisation algorithm (SAEM).</p>
<span><span class="fu">saemix_data</span><span class="op">(</span><span class="va">object</span>, covariates <span class="op">=</span> <span class="cn">NULL</span>, verbose <span class="op">=</span> <span class="cn">FALSE</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
</div>
- <div id="arguments">
- <h2>Arguments</h2>
- <dl><dt>object</dt>
+ <div class="section level2">
+ <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2>
+
+
+<dl><dt id="arg-object">object<a class="anchor" aria-label="anchor" href="#arg-object"></a></dt>
<dd><p>An <a href="mmkin.html">mmkin</a> row object containing several fits of the same
<a href="mkinmod.html">mkinmod</a> model to different datasets</p></dd>
-<dt>...</dt>
+<dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt>
<dd><p>Further parameters passed to <a href="https://rdrr.io/pkg/saemix/man/saemixModel.html" class="external-link">saemix::saemixModel</a>.</p></dd>
-<dt>transformations</dt>
+<dt id="arg-transformations">transformations<a class="anchor" aria-label="anchor" href="#arg-transformations"></a></dt>
<dd><p>Per default, all parameter transformations are done
in mkin. If this argument is set to 'saemix', parameter transformations
are done in 'saemix' for the supported cases, i.e. (as of version 1.1.2)
@@ -185,39 +142,39 @@ SFO, FOMC, DFOP and HS without fixing <code>parent_0</code>, and SFO or DFOP wit
one SFO metabolite.</p></dd>
-<dt>error_model</dt>
+<dt id="arg-error-model">error_model<a class="anchor" aria-label="anchor" href="#arg-error-model"></a></dt>
<dd><p>Possibility to override the error model used in the mmkin object</p></dd>
-<dt>degparms_start</dt>
+<dt id="arg-degparms-start">degparms_start<a class="anchor" aria-label="anchor" href="#arg-degparms-start"></a></dt>
<dd><p>Parameter values given as a named numeric vector will
be used to override the starting values obtained from the 'mmkin' object.</p></dd>
-<dt>test_log_parms</dt>
+<dt id="arg-test-log-parms">test_log_parms<a class="anchor" aria-label="anchor" href="#arg-test-log-parms"></a></dt>
<dd><p>If TRUE, an attempt is made to use more robust starting
values for population parameters fitted as log parameters in mkin (like
rate constants) by only considering rate constants that pass the t-test
when calculating mean degradation parameters using <a href="mean_degparms.html">mean_degparms</a>.</p></dd>
-<dt>conf.level</dt>
+<dt id="arg-conf-level">conf.level<a class="anchor" aria-label="anchor" href="#arg-conf-level"></a></dt>
<dd><p>Possibility to adjust the required confidence level
for parameter that are tested if requested by 'test_log_parms'.</p></dd>
-<dt>solution_type</dt>
+<dt id="arg-solution-type">solution_type<a class="anchor" aria-label="anchor" href="#arg-solution-type"></a></dt>
<dd><p>Possibility to specify the solution type in case the
automatic choice is not desired</p></dd>
-<dt>covariance.model</dt>
+<dt id="arg-covariance-model">covariance.model<a class="anchor" aria-label="anchor" href="#arg-covariance-model"></a></dt>
<dd><p>Will be passed to <code><a href="https://rdrr.io/pkg/saemix/man/saemixModel.html" class="external-link">saemix::saemixModel()</a></code>. Per
default, uncorrelated random effects are specified for all degradation
parameters.</p></dd>
-<dt>omega.init</dt>
+<dt id="arg-omega-init">omega.init<a class="anchor" aria-label="anchor" href="#arg-omega-init"></a></dt>
<dd><p>Will be passed to <code><a href="https://rdrr.io/pkg/saemix/man/saemixModel.html" class="external-link">saemix::saemixModel()</a></code>. If using
mkin transformations and the default covariance model with optionally
excluded random effects, the variances of the degradation parameters
@@ -227,83 +184,77 @@ mkin transformations or a custom covariance model, the default
initialisation of <a href="https://rdrr.io/pkg/saemix/man/saemixModel.html" class="external-link">saemix::saemixModel</a> is used for omega.init.</p></dd>
-<dt>covariates</dt>
+<dt id="arg-covariates">covariates<a class="anchor" aria-label="anchor" href="#arg-covariates"></a></dt>
<dd><p>A data frame with covariate data for use in
'covariate_models', with dataset names as row names.</p></dd>
-<dt>covariate_models</dt>
+<dt id="arg-covariate-models">covariate_models<a class="anchor" aria-label="anchor" href="#arg-covariate-models"></a></dt>
<dd><p>A list containing linear model formulas with one explanatory
variable, i.e. of the type 'parameter ~ covariate'. Covariates must be available
in the 'covariates' data frame.</p></dd>
-<dt>no_random_effect</dt>
+<dt id="arg-no-random-effect">no_random_effect<a class="anchor" aria-label="anchor" href="#arg-no-random-effect"></a></dt>
<dd><p>Character vector of degradation parameters for
which there should be no variability over the groups. Only used
if the covariance model is not explicitly specified.</p></dd>
-<dt>error.init</dt>
+<dt id="arg-error-init">error.init<a class="anchor" aria-label="anchor" href="#arg-error-init"></a></dt>
<dd><p>Will be passed to <code><a href="https://rdrr.io/pkg/saemix/man/saemixModel.html" class="external-link">saemix::saemixModel()</a></code>.</p></dd>
-<dt>nbiter.saemix</dt>
+<dt id="arg-nbiter-saemix">nbiter.saemix<a class="anchor" aria-label="anchor" href="#arg-nbiter-saemix"></a></dt>
<dd><p>Convenience option to increase the number of
iterations</p></dd>
-<dt>control</dt>
+<dt id="arg-control">control<a class="anchor" aria-label="anchor" href="#arg-control"></a></dt>
<dd><p>Passed to <a href="https://rdrr.io/pkg/saemix/man/saemix.html" class="external-link">saemix::saemix</a>.</p></dd>
-<dt>verbose</dt>
+<dt id="arg-verbose">verbose<a class="anchor" aria-label="anchor" href="#arg-verbose"></a></dt>
<dd><p>Should we print information about created objects of
type <a href="https://rdrr.io/pkg/saemix/man/SaemixModel-class.html" class="external-link">saemix::SaemixModel</a> and <a href="https://rdrr.io/pkg/saemix/man/SaemixData-class.html" class="external-link">saemix::SaemixData</a>?</p></dd>
-<dt>quiet</dt>
+<dt id="arg-quiet">quiet<a class="anchor" aria-label="anchor" href="#arg-quiet"></a></dt>
<dd><p>Should we suppress the messages saemix prints at the beginning
and the end of the optimisation process?</p></dd>
-<dt>x</dt>
+<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt>
<dd><p>An saem.mmkin object to print</p></dd>
-<dt>digits</dt>
+<dt id="arg-digits">digits<a class="anchor" aria-label="anchor" href="#arg-digits"></a></dt>
<dd><p>Number of digits to use for printing</p></dd>
</dl></div>
- <div id="value">
- <h2>Value</h2>
-
-
-<p>An S3 object of class 'saem.mmkin', containing the fitted
+ <div class="section level2">
+ <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2>
+ <p>An S3 object of class 'saem.mmkin', containing the fitted
<a href="https://rdrr.io/pkg/saemix/man/SaemixObject-class.html" class="external-link">saemix::SaemixObject</a> as a list component named 'so'. The
object also inherits from 'mixed.mmkin'.</p>
-
-
<p>An <a href="https://rdrr.io/pkg/saemix/man/SaemixModel-class.html" class="external-link">saemix::SaemixModel</a> object.</p>
-
-
<p>An <a href="https://rdrr.io/pkg/saemix/man/SaemixData-class.html" class="external-link">saemix::SaemixData</a> object.</p>
</div>
- <div id="details">
- <h2>Details</h2>
+ <div class="section level2">
+ <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></a></h2>
<p>An mmkin row object is essentially a list of mkinfit objects that have been
obtained by fitting the same model to a list of datasets using <a href="mkinfit.html">mkinfit</a>.</p>
<p>Starting values for the fixed effects (population mean parameters, argument
psi0 of <code><a href="https://rdrr.io/pkg/saemix/man/saemixModel.html" class="external-link">saemix::saemixModel()</a></code> are the mean values of the parameters found
using <a href="mmkin.html">mmkin</a>.</p>
</div>
- <div id="see-also">
- <h2>See also</h2>
+ <div class="section level2">
+ <h2 id="see-also">See also<a class="anchor" aria-label="anchor" href="#see-also"></a></h2>
<div class="dont-index"><p><a href="summary.saem.mmkin.html">summary.saem.mmkin</a> <a href="plot.mixed.mmkin.html">plot.mixed.mmkin</a></p></div>
</div>
- <div id="ref-examples">
- <h2>Examples</h2>
+ <div class="section level2">
+ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-examples"></a></h2>
<div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="co"># \dontrun{</span></span></span>
<span class="r-in"><span><span class="va">ds</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">experimental_data_for_UBA_2019</span><span class="op">[</span><span class="fl">6</span><span class="op">:</span><span class="fl">10</span><span class="op">]</span>,</span></span>
<span class="r-in"><span> <span class="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="fu"><a href="https://rdrr.io/r/base/subset.html" class="external-link">subset</a></span><span class="op">(</span><span class="va">x</span><span class="op">$</span><span class="va">data</span><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">"name"</span>, <span class="st">"time"</span>, <span class="st">"value"</span><span class="op">)</span><span class="op">]</span><span class="op">)</span><span class="op">)</span></span></span>
@@ -352,7 +303,7 @@ using <a href="mmkin.html">mmkin</a>.</p>
<span class="r-in"><span><span class="co"># functions from saemix</span></span></span>
<span class="r-in"><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">saemix</span><span class="op">)</span></span></span>
<span class="r-msg co"><span class="r-pr">#&gt;</span> Loading required package: npde</span>
-<span class="r-msg co"><span class="r-pr">#&gt;</span> Package saemix, version 3.2</span>
+<span class="r-msg co"><span class="r-pr">#&gt;</span> Package saemix, version 3.3, March 2024</span>
<span class="r-msg co"><span class="r-pr">#&gt;</span> please direct bugs, questions and feedback to emmanuelle.comets@inserm.fr</span>
<span class="r-msg co"><span class="r-pr">#&gt;</span> </span>
<span class="r-msg co"><span class="r-pr">#&gt;</span> Attaching package: ‘saemix’</span>
@@ -443,11 +394,11 @@ using <a href="mmkin.html">mmkin</a>.</p>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/plot.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">f_saem_dfop_sfo</span><span class="op">)</span></span></span>
<span class="r-plt img"><img src="saem-4.png" alt="" width="700" height="433"></span>
<span class="r-in"><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">f_saem_dfop_sfo</span>, data <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> saemix version used for fitting: 3.2 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> mkin version used for pre-fitting: 1.2.6 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> R version used for fitting: 4.3.1 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Date of fit: Mon Oct 30 09:34:35 2023 </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Date of summary: Mon Oct 30 09:34:35 2023 </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> saemix version used for fitting: 3.3 </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> mkin version used for pre-fitting: 1.2.9 </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> R version used for fitting: 4.4.2 </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> Date of fit: Thu Feb 13 14:59:07 2025 </span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> Date of summary: Thu Feb 13 14:59:07 2025 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Equations:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> d_parent/dt = - ((k1 * g * exp(-k1 * time) + k2 * (1 - g) * exp(-k2 *</span>
@@ -462,7 +413,7 @@ using <a href="mmkin.html">mmkin</a>.</p>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Model predictions using solution type analytical </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
-<span class="r-out co"><span class="r-pr">#&gt;</span> Fitted in 8.745 s</span>
+<span class="r-out co"><span class="r-pr">#&gt;</span> Fitted in 3.96 s</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Using 300, 100 iterations and 10 chains</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Variance model: Constant variance </span>
@@ -758,27 +709,23 @@ using <a href="mmkin.html">mmkin</a>.</p>
<span class="r-in"><span><span class="co"># }</span></span></span>
</code></pre></div>
</div>
- </div>
- <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
- <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2>
- </nav></div>
-</div>
+ </main><aside class="col-md-3"><nav id="toc" aria-label="Table of contents"><h2>On this page</h2>
+ </nav></aside></div>
- <footer><div class="copyright">
- <p></p><p>Developed by Johannes Ranke.</p>
+ <footer><div class="pkgdown-footer-left">
+ <p>Developed by Johannes Ranke.</p>
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-<div class="pkgdown">
- <p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.7.</p>
+<div class="pkgdown-footer-right">
+ <p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.1.1.</p>
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