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diff --git a/docs/dev/reference/mmkin.html b/docs/dev/reference/mmkin.html new file mode 100644 index 00000000..c2bbd3c4 --- /dev/null +++ b/docs/dev/reference/mmkin.html @@ -0,0 +1,239 @@ +<!DOCTYPE html> +<!-- 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 one or more kinetic models with one or more state variables to one or more datasets — mmkin • 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 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arguments."><meta name="robots" content="noindex"></head><body> + <a href="#main" class="visually-hidden-focusable">Skip to contents</a> + + + <nav class="navbar navbar-expand-lg fixed-top bg-light" data-bs-theme="default" aria-label="Site navigation"><div class="container"> + + <a class="navbar-brand me-2" href="../index.html">mkin</a> + + <small class="nav-text text-info me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="In-development version">1.2.10</small> + + + <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation"> + <span class="navbar-toggler-icon"></span> + </button> + + <div id="navbar" class="collapse navbar-collapse ms-3"> + <ul class="navbar-nav me-auto"><li class="active nav-item"><a class="nav-link" href="../reference/index.html">Reference</a></li> +<li class="nav-item dropdown"> + <button class="nav-link dropdown-toggle" type="button" id="dropdown-articles" data-bs-toggle="dropdown" aria-expanded="false" aria-haspopup="true">Articles</button> + <ul class="dropdown-menu" aria-labelledby="dropdown-articles"><li><a class="dropdown-item" href="../articles/mkin.html">Introduction to mkin</a></li> + <li><hr class="dropdown-divider"></li> + <li><h6 class="dropdown-header" data-toc-skip>Example evaluations with (generalised) nonlinear least squares</h6></li> + <li><a class="dropdown-item" href="../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a></li> + <li><a class="dropdown-item" href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a></li> + <li><a class="dropdown-item" href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a></li> + <li><hr class="dropdown-divider"></li> + <li><h6 class="dropdown-header" data-toc-skip>Example evaluations with hierarchical models (nonlinear mixed-effects models)</h6></li> + <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> + <li><a class="dropdown-item" href="../articles/prebuilt/2023_mesotrione_parent.html">Testing covariate modelling in hierarchical parent degradation kinetics with residue data on mesotrione</a></li> + <li><a class="dropdown-item" href="../articles/prebuilt/2022_cyan_pathway.html">Testing hierarchical pathway kinetics with residue data on cyantraniliprole</a></li> + <li><a class="dropdown-item" href="../articles/web_only/dimethenamid_2018.html">Comparison of saemix and nlme evaluations of dimethenamid data from 2018</a></li> + <li><a class="dropdown-item" href="../articles/web_only/multistart.html">Short demo of the multistart method</a></li> + <li><hr class="dropdown-divider"></li> + <li><h6 class="dropdown-header" data-toc-skip>Performance</h6></li> + <li><a class="dropdown-item" href="../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a></li> + <li><a class="dropdown-item" href="../articles/web_only/benchmarks.html">Benchmark timings for mkin</a></li> + <li><a class="dropdown-item" href="../articles/web_only/saem_benchmarks.html">Benchmark timings for saem.mmkin</a></li> + <li><hr class="dropdown-divider"></li> + <li><h6 class="dropdown-header" data-toc-skip>Miscellaneous</h6></li> + <li><a class="dropdown-item" href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a></li> + <li><a class="dropdown-item" href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a></li> + </ul></li> +<li class="nav-item"><a class="nav-link" href="../coverage/coverage.html">Test coverage</a></li> +<li class="nav-item"><a class="nav-link" href="../news/index.html">News</a></li> + </ul><ul class="navbar-nav"><li class="nav-item"><form class="form-inline" role="search"> + <input class="form-control" type="search" name="search-input" id="search-input" autocomplete="off" aria-label="Search site" placeholder="Search for" data-search-index="../search.json"></form></li> +<li class="nav-item"><a class="external-link nav-link" href="https://github.com/jranke/mkin/" aria-label="GitHub"><span class="fa fab fa-github fa-lg"></span></a></li> + </ul></div> + + + </div> +</nav><div class="container template-reference-topic"> +<div class="row"> + <main id="main" class="col-md-9"><div class="page-header"> + + <h1>Fit one or more kinetic models with one or more state variables to one or more datasets</h1> + <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/mmkin.R" class="external-link"><code>R/mmkin.R</code></a></small> + <div class="d-none name"><code>mmkin.Rd</code></div> + </div> + + <div class="ref-description section level2"> + <p>This function calls <code><a href="mkinfit.html">mkinfit</a></code> on all combinations of models and +datasets specified in its first two arguments.</p> + </div> + + <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">mmkin</span><span class="op">(</span></span> +<span> models <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">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span><span class="op">)</span>,</span> +<span> <span class="va">datasets</span>,</span> +<span> cores <span class="op">=</span> <span class="kw">if</span> <span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/Sys.info.html" class="external-link">Sys.info</a></span><span class="op">(</span><span class="op">)</span><span class="op">[</span><span class="st">"sysname"</span><span class="op">]</span> <span class="op">==</span> <span class="st">"Windows"</span><span class="op">)</span> <span class="fl">1</span> <span class="kw">else</span> <span class="fu">parallel</span><span class="fu">::</span><span class="fu"><a href="https://rdrr.io/r/parallel/detectCores.html" class="external-link">detectCores</a></span><span class="op">(</span><span class="op">)</span>,</span> +<span> cluster <span class="op">=</span> <span class="cn">NULL</span>,</span> +<span> <span class="va">...</span></span> +<span><span class="op">)</span></span> +<span></span> +<span><span class="co"># S3 method for class '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>, <span class="va">...</span><span class="op">)</span></span></code></pre></div> + </div> + + <div class="section level2"> + <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#arguments"></a></h2> + + +<dl><dt id="arg-models">models<a class="anchor" aria-label="anchor" href="#arg-models"></a></dt> +<dd><p>Either a character vector of shorthand names like +<code>c("SFO", "FOMC", "DFOP", "HS", "SFORB")</code>, or an optionally named +list of <code><a href="mkinmod.html">mkinmod</a></code> objects.</p></dd> + + +<dt id="arg-datasets">datasets<a class="anchor" aria-label="anchor" href="#arg-datasets"></a></dt> +<dd><p>An optionally named list of datasets suitable as observed +data for <code><a href="mkinfit.html">mkinfit</a></code>.</p></dd> + + +<dt id="arg-cores">cores<a class="anchor" aria-label="anchor" href="#arg-cores"></a></dt> +<dd><p>The number of cores to be used for multicore processing. This +is only used when the <code>cluster</code> argument is <code>NULL</code>. On Windows +machines, cores > 1 is not supported, you need to use the <code>cluster</code> +argument to use multiple logical processors. Per default, all cores +detected by <code><a href="https://rdrr.io/r/parallel/detectCores.html" class="external-link">parallel::detectCores()</a></code> are used, except on Windows where +the default is 1.</p></dd> + + +<dt id="arg-cluster">cluster<a class="anchor" aria-label="anchor" href="#arg-cluster"></a></dt> +<dd><p>A cluster as returned by <code>makeCluster</code> to be used +for parallel execution.</p></dd> + + +<dt id="arg--">...<a class="anchor" aria-label="anchor" href="#arg--"></a></dt> +<dd><p>Not used.</p></dd> + + +<dt id="arg-x">x<a class="anchor" aria-label="anchor" href="#arg-x"></a></dt> +<dd><p>An mmkin object.</p></dd> + +</dl></div> + <div class="section level2"> + <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2> + <p>A two-dimensional <code><a href="https://rdrr.io/r/base/array.html" class="external-link">array</a></code> of <code><a href="mkinfit.html">mkinfit</a></code> +objects and/or try-errors that can be indexed using the model names for the +first index (row index) and the dataset names for the second index (column +index).</p> + </div> + <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><code><a href="Extract.mmkin.html">[.mmkin</a></code> for subsetting, <code><a href="plot.mmkin.html">plot.mmkin</a></code> for +plotting.</p></div> + </div> + <div class="section level2"> + <h2 id="author">Author<a class="anchor" aria-label="anchor" href="#author"></a></h2> + <p>Johannes Ranke</p> + </div> + + <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></span> +<span class="r-in"><span><span class="co"># \dontrun{</span></span></span> +<span class="r-in"><span><span class="va">m_synth_SFO_lin</span> <span class="op"><-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"M1"</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> M1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"M2"</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> M2 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, use_of_ff <span class="op">=</span> <span class="st">"max"</span><span class="op">)</span></span></span> +<span class="r-msg co"><span class="r-pr">#></span> Temporary DLL for differentials generated and loaded</span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="va">m_synth_FOMC_lin</span> <span class="op"><-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"FOMC"</span>, <span class="st">"M1"</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> M1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"M2"</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> M2 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, use_of_ff <span class="op">=</span> <span class="st">"max"</span><span class="op">)</span></span></span> +<span class="r-msg co"><span class="r-pr">#></span> Temporary DLL for differentials generated and loaded</span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="va">models</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>SFO_lin <span class="op">=</span> <span class="va">m_synth_SFO_lin</span>, FOMC_lin <span class="op">=</span> <span class="va">m_synth_FOMC_lin</span><span class="op">)</span></span></span> +<span class="r-in"><span><span class="va">datasets</span> <span class="op"><-</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">synthetic_data_for_UBA_2014</span><span class="op">[</span><span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, <span class="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="va">x</span><span class="op">$</span><span class="va">data</span><span class="op">)</span></span></span> +<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/names.html" class="external-link">names</a></span><span class="op">(</span><span class="va">datasets</span><span class="op">)</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="st">"Dataset"</span>, <span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">)</span></span></span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="va">time_default</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html" class="external-link">system.time</a></span><span class="op">(</span><span class="va">fits.0</span> <span class="op"><-</span> <span class="fu">mmkin</span><span class="op">(</span><span class="va">models</span>, <span class="va">datasets</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span> +<span class="r-in"><span><span class="va">time_1</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html" class="external-link">system.time</a></span><span class="op">(</span><span class="va">fits.4</span> <span class="op"><-</span> <span class="fu">mmkin</span><span class="op">(</span><span class="va">models</span>, <span class="va">datasets</span>, cores <span class="op">=</span> <span class="fl">1</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="va">time_default</span></span></span> +<span class="r-out co"><span class="r-pr">#></span> user system elapsed </span> +<span class="r-out co"><span class="r-pr">#></span> 1.522 0.957 0.720 </span> +<span class="r-in"><span><span class="va">time_1</span></span></span> +<span class="r-out co"><span class="r-pr">#></span> user system elapsed </span> +<span class="r-out co"><span class="r-pr">#></span> 1.991 0.024 2.015 </span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[[</span><span class="st">"SFO_lin"</span>, <span class="fl">2</span><span class="op">]</span><span class="op">]</span><span class="op">)</span></span></span> +<span class="r-out co"><span class="r-pr">#></span> $ff</span> +<span class="r-out co"><span class="r-pr">#></span> parent_M1 parent_sink M1_M2 M1_sink </span> +<span class="r-out co"><span class="r-pr">#></span> 0.7340481 0.2659519 0.7505690 0.2494310 </span> +<span class="r-out co"><span class="r-pr">#></span> </span> +<span class="r-out co"><span class="r-pr">#></span> $distimes</span> +<span class="r-out co"><span class="r-pr">#></span> DT50 DT90</span> +<span class="r-out co"><span class="r-pr">#></span> parent 0.8777689 2.915885</span> +<span class="r-out co"><span class="r-pr">#></span> M1 2.3257403 7.725942</span> +<span class="r-out co"><span class="r-pr">#></span> M2 33.7201060 112.015767</span> +<span class="r-out co"><span class="r-pr">#></span> </span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="co"># plot.mkinfit handles rows or columns of mmkin result objects</span></span></span> +<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span><span class="fl">1</span>, <span class="op">]</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="mmkin-1.png" alt="" width="700" height="433"></span> +<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span><span class="fl">1</span>, <span class="op">]</span>, obs_var <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">"M1"</span>, <span class="st">"M2"</span><span class="op">)</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="mmkin-2.png" alt="" width="700" height="433"></span> +<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span>, <span class="fl">1</span><span class="op">]</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="mmkin-3.png" alt="" width="700" height="433"></span> +<span class="r-in"><span><span class="co"># Use double brackets to extract a single mkinfit object, which will be plotted</span></span></span> +<span class="r-in"><span><span class="co"># by plot.mkinfit and can be plotted using plot_sep</span></span></span> +<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[[</span><span class="fl">1</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, sep_obs <span class="op">=</span> <span class="cn">TRUE</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="mmkin-4.png" alt="" width="700" height="433"></span> +<span class="r-in"><span><span class="fu"><a href="plot.mkinfit.html">plot_sep</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[[</span><span class="fl">1</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span><span class="op">)</span></span></span> +<span class="r-in"><span><span class="co"># Plotting with mmkin (single brackets, extracting an mmkin object) does not</span></span></span> +<span class="r-in"><span><span class="co"># allow to plot the observed variables separately</span></span></span> +<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span><span class="fl">1</span>, <span class="fl">1</span><span class="op">]</span><span class="op">)</span></span></span> +<span class="r-plt img"><img src="mmkin-5.png" alt="" width="700" height="433"></span> +<span class="r-in"><span></span></span> +<span class="r-in"><span><span class="co"># On Windows, we can use multiple cores by making a cluster first</span></span></span> +<span class="r-in"><span><span class="va">cl</span> <span class="op"><-</span> <span class="fu">parallel</span><span class="fu">::</span><span class="fu"><a href="https://rdrr.io/r/parallel/makeCluster.html" class="external-link">makePSOCKcluster</a></span><span class="op">(</span><span class="fl">12</span><span class="op">)</span></span></span> +<span class="r-in"><span><span class="va">f</span> <span class="op"><-</span> <span class="fu">mmkin</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">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>A <span class="op">=</span> <span class="va">FOCUS_2006_A</span>, B <span class="op">=</span> <span class="va">FOCUS_2006_B</span>, C <span class="op">=</span> <span class="va">FOCUS_2006_C</span>, D <span class="op">=</span> <span class="va">FOCUS_2006_D</span><span class="op">)</span>,</span></span> +<span class="r-in"><span> cluster <span class="op">=</span> <span class="va">cl</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span> +<span class="r-in"><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">f</span><span class="op">)</span></span></span> +<span class="r-out co"><span class="r-pr">#></span> <mmkin> object</span> +<span class="r-out co"><span class="r-pr">#></span> Status of individual fits:</span> +<span class="r-out co"><span class="r-pr">#></span> </span> +<span class="r-out co"><span class="r-pr">#></span> dataset</span> +<span class="r-out co"><span class="r-pr">#></span> model A B C D </span> +<span class="r-out co"><span class="r-pr">#></span> SFO OK OK OK OK</span> +<span class="r-out co"><span class="r-pr">#></span> FOMC C OK OK OK</span> +<span class="r-out co"><span class="r-pr">#></span> DFOP OK OK OK OK</span> +<span class="r-out co"><span class="r-pr">#></span> </span> +<span class="r-out co"><span class="r-pr">#></span> C: Optimisation did not converge:</span> +<span class="r-out co"><span class="r-pr">#></span> false convergence (8)</span> +<span class="r-out co"><span class="r-pr">#></span> OK: No warnings</span> +<span class="r-in"><span><span class="co"># We get false convergence for the FOMC fit to FOCUS_2006_A because this</span></span></span> +<span class="r-in"><span><span class="co"># dataset is really SFO, and the FOMC fit is overparameterised</span></span></span> +<span class="r-in"><span><span class="fu">parallel</span><span class="fu">::</span><span class="fu"><a href="https://rdrr.io/r/parallel/makeCluster.html" class="external-link">stopCluster</a></span><span class="op">(</span><span class="va">cl</span><span class="op">)</span></span></span> +<span class="r-in"><span><span class="co"># }</span></span></span> +<span class="r-in"><span></span></span> +</code></pre></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="pkgdown-footer-left"> + <p>Developed by Johannes Ranke.</p> +</div> + +<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> +</div> + + </footer></div> + + + + + + </body></html> + |