1
0
mirror of https://github.com/msberends/AMR.git synced 2024-12-27 05:26:11 +01:00
AMR/docs/reference/as.mic.html

290 lines
24 KiB
HTML

<!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=1.0"><title>Transform Input to Minimum Inhibitory Concentrations (MIC) — as.mic • AMR (for R)</title><!-- favicons --><link rel="icon" type="image/png" sizes="16x16" href="../favicon-16x16.png"><link rel="icon" type="image/png" sizes="32x32" href="../favicon-32x32.png"><link rel="apple-touch-icon" type="image/png" sizes="180x180" href="../apple-touch-icon.png"><link rel="apple-touch-icon" type="image/png" sizes="120x120" href="../apple-touch-icon-120x120.png"><link rel="apple-touch-icon" type="image/png" sizes="76x76" href="../apple-touch-icon-76x76.png"><link rel="apple-touch-icon" type="image/png" sizes="60x60" href="../apple-touch-icon-60x60.png"><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link href="https://cdnjs.cloudflare.com/ajax/libs/bootswatch/3.4.0/flatly/bootstrap.min.css" rel="stylesheet" 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><link href="../extra.css" rel="stylesheet"><script src="../extra.js"></script><meta property="og:title" content="Transform Input to Minimum Inhibitory Concentrations (MIC) — as.mic"><meta property="og:description" content='This transforms vectors to a new class mic, which treats the input as decimal numbers, while maintaining operators (such as "&amp;gt;=") and only allowing valid MIC values known to the field of (medical) microbiology.'><meta property="og:image" content="https://msberends.github.io/AMR/logo.png"><meta name="twitter:card" content="summary_large_image"><meta name="twitter:creator" content="@msberends"><meta name="twitter:site" content="@univgroningen"><!-- 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]>
<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
<![endif]--></head><body data-spy="scroll" data-target="#toc">
<div class="container template-reference-topic">
<header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
<div class="container">
<div class="navbar-header">
<button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../index.html">AMR (for R)</a>
<span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">1.7.1.9062</span>
</span>
</div>
<div id="navbar" class="navbar-collapse collapse">
<ul class="nav navbar-nav"><li>
<a href="../index.html">
<span class="fa fa-home"></span>
Home
</a>
</li>
<li class="dropdown">
<a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" aria-expanded="false">
<span class="fa fa-question-circle"></span>
How to
<span class="caret"></span>
</a>
<ul class="dropdown-menu" role="menu"><li>
<a href="../articles/AMR.html">
<span class="fa fa-directions"></span>
Conduct AMR analysis
</a>
</li>
<li>
<a href="../articles/resistance_predict.html">
<span class="fa fa-dice"></span>
Predict antimicrobial resistance
</a>
</li>
<li>
<a href="../articles/datasets.html">
<span class="fa fa-database"></span>
Data sets for download / own use
</a>
</li>
<li>
<a href="../articles/PCA.html">
<span class="fa fa-compress"></span>
Conduct principal component analysis for AMR
</a>
</li>
<li>
<a href="../articles/MDR.html">
<span class="fa fa-skull-crossbones"></span>
Determine multi-drug resistance (MDR)
</a>
</li>
<li>
<a href="../articles/WHONET.html">
<span class="fa fa-globe-americas"></span>
Work with WHONET data
</a>
</li>
<li>
<a href="../articles/SPSS.html">
<span class="fa fa-file-upload"></span>
Import data from SPSS/SAS/Stata
</a>
</li>
<li>
<a href="../articles/EUCAST.html">
<span class="fa fa-exchange-alt"></span>
Apply EUCAST rules
</a>
</li>
<li>
<a href="../reference/mo_property.html">
<span class="fa fa-bug"></span>
Get properties of a microorganism
</a>
</li>
<li>
<a href="../reference/ab_property.html">
<span class="fa fa-capsules"></span>
Get properties of an antibiotic
</a>
</li>
<li>
<a href="../articles/benchmarks.html">
<span class="fa fa-shipping-fast"></span>
Other: benchmarks
</a>
</li>
</ul></li>
<li>
<a href="../reference/index.html">
<span class="fa fa-book-open"></span>
Manual
</a>
</li>
<li>
<a href="../authors.html">
<span class="fa fa-users"></span>
Authors
</a>
</li>
<li>
<a href="../news/index.html">
<span class="far fa-newspaper"></span>
Changelog
</a>
</li>
</ul><ul class="nav navbar-nav navbar-right"><li>
<a href="https://github.com/msberends/AMR" class="external-link">
<span class="fab fa-github"></span>
Source Code
</a>
</li>
</ul></div><!--/.nav-collapse -->
</div><!--/.container -->
</div><!--/.navbar -->
</header><div class="row">
<div class="col-md-9 contents">
<div class="page-header">
<h1>Transform Input to Minimum Inhibitory Concentrations (MIC)</h1>
<small class="dont-index">Source: <a href="https://github.com/msberends/AMR/blob/HEAD/R/mic.R" class="external-link"><code>R/mic.R</code></a></small>
<div class="hidden name"><code>as.mic.Rd</code></div>
</div>
<div class="ref-description">
<p>This transforms vectors to a new class <code>mic</code>, which treats the input as decimal numbers, while maintaining operators (such as "&gt;=") and only allowing valid MIC values known to the field of (medical) microbiology.</p>
</div>
<div id="ref-usage">Usage,<div class="sourceCode"><pre class="sourceCode r"><code><span class="fu">as.mic</span><span class="op">(</span><span class="va">x</span>, na.rm <span class="op">=</span> <span class="cn">FALSE</span><span class="op">)</span>
<span class="va">NA_mic_</span>
<span class="fu">is.mic</span><span class="op">(</span><span class="va">x</span><span class="op">)</span></code></pre></div></div>
<div id="format">
<h2>Format</h2>
<p>An object of class <code>mic</code> (inherits from <code>ordered</code>, <code>factor</code>) of length 1.</p>
</div>
<div id="arguments">
<h2>Arguments</h2>
<dl><dt>x</dt>
<dd><p>a <a href="https://rdrr.io/r/base/character.html" class="external-link">character</a> or <a href="https://rdrr.io/r/base/numeric.html" class="external-link">numeric</a> vector</p></dd>
<dt>na.rm</dt>
<dd><p>a <a href="https://rdrr.io/r/base/logical.html" class="external-link">logical</a> indicating whether missing values should be removed</p></dd>
</dl></div>
<div id="value">
<h2>Value</h2>
<p>Ordered <a href="https://rdrr.io/r/base/factor.html" class="external-link">factor</a> with additional class <code>mic</code>, that in mathematical operations acts as decimal numbers. Bare in mind that the outcome of any mathematical operation on MICs will return a <a href="https://rdrr.io/r/base/numeric.html" class="external-link">numeric</a> value.</p>
</div>
<div id="details">
<h2>Details</h2>
<p>To interpret MIC values as RSI values, use <code><a href="as.rsi.html">as.rsi()</a></code> on MIC values. It supports guidelines from EUCAST and CLSI.</p>
<p>This class for MIC values is a quite a special data type: formally it is an ordered <a href="https://rdrr.io/r/base/factor.html" class="external-link">factor</a> with valid MIC values as <a href="https://rdrr.io/r/base/factor.html" class="external-link">factor</a> levels (to make sure only valid MIC values are retained), but for any mathematical operation it acts as decimal numbers:</p><div class="sourceCode"><pre><code><span class="va">x</span> <span class="op">&lt;-</span> <span class="fu"><a href="../reference/random.html">random_mic</a></span><span class="op">(</span><span class="fl">10</span><span class="op">)</span>
<span class="va">x</span>
<span class="co">#&gt; Class &lt;mic&gt;</span>
<span class="co">#&gt; [1] 16 1 8 8 64 &gt;=128 0.0625 32 32 16</span>
<span class="fu"><a href="https://rdrr.io/r/base/factor.html" class="external-link">is.factor</a></span><span class="op">(</span><span class="va">x</span><span class="op">)</span>
<span class="co">#&gt; [1] TRUE</span>
<span class="va">x</span><span class="op">[</span><span class="fl">1</span><span class="op">]</span> <span class="op">*</span> <span class="fl">2</span>
<span class="co">#&gt; [1] 32</span>
<span class="fu"><a href="https://rdrr.io/r/stats/median.html" class="external-link">median</a></span><span class="op">(</span><span class="va">x</span><span class="op">)</span>
<span class="co">#&gt; [1] 26</span></code></pre></div>
<p>This makes it possible to maintain operators that often come with MIC values, such "&gt;=" and "&lt;=", even when filtering using <a href="https://rdrr.io/r/base/numeric.html" class="external-link">numeric</a> values in data analysis, e.g.:</p><div class="sourceCode"><pre><code><span class="va">x</span><span class="op">[</span><span class="va">x</span> <span class="op">&gt;</span> <span class="fl">4</span><span class="op">]</span>
<span class="co">#&gt; Class &lt;mic&gt;</span>
<span class="co">#&gt; [1] 16 8 8 64 &gt;=128 32 32 16</span>
<span class="va">df</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/data.frame.html" class="external-link">data.frame</a></span><span class="op">(</span><span class="va">x</span>, hospital <span class="op">=</span> <span class="st">"A"</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">df</span>, <span class="va">x</span> <span class="op">&gt;</span> <span class="fl">4</span><span class="op">)</span> <span class="co"># or with dplyr: df %&gt;% filter(x &gt; 4)</span>
<span class="co">#&gt; x hospital</span>
<span class="co">#&gt; 1 16 A</span>
<span class="co">#&gt; 5 64 A</span>
<span class="co">#&gt; 6 &gt;=128 A</span>
<span class="co">#&gt; 8 32 A</span>
<span class="co">#&gt; 9 32 A</span>
<span class="co">#&gt; 10 16 A</span></code></pre></div>
<p>The following <a href="https://rdrr.io/r/base/groupGeneric.html" class="external-link">generic functions</a> are implemented for the MIC class: <code>!</code>, <code>!=</code>, <code>%%</code>, <code>%/%</code>, <code>&amp;</code>, <code>*</code>, <code>+</code>, <code>-</code>, <code>/</code>, <code>&lt;</code>, <code>&lt;=</code>, <code>==</code>, <code>&gt;</code>, <code>&gt;=</code>, <code>^</code>, <code>|</code>, <code><a href="https://rdrr.io/r/base/MathFun.html" class="external-link">abs()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">acos()</a></code>, <code><a href="https://rdrr.io/r/base/Hyperbolic.html" class="external-link">acosh()</a></code>, <code><a href="https://rdrr.io/r/base/all.html" class="external-link">all()</a></code>, <code><a href="https://rdrr.io/r/base/any.html" class="external-link">any()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">asin()</a></code>, <code><a href="https://rdrr.io/r/base/Hyperbolic.html" class="external-link">asinh()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">atan()</a></code>, <code><a href="https://rdrr.io/r/base/Hyperbolic.html" class="external-link">atanh()</a></code>, <code><a href="https://rdrr.io/r/base/Round.html" class="external-link">ceiling()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">cos()</a></code>, <code><a href="https://rdrr.io/r/base/Hyperbolic.html" class="external-link">cosh()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">cospi()</a></code>, <code><a href="https://rdrr.io/r/base/cumsum.html" class="external-link">cummax()</a></code>, <code><a href="https://rdrr.io/r/base/cumsum.html" class="external-link">cummin()</a></code>, <code><a href="https://rdrr.io/r/base/cumsum.html" class="external-link">cumprod()</a></code>, <code><a href="https://rdrr.io/r/base/cumsum.html" class="external-link">cumsum()</a></code>, <code><a href="https://rdrr.io/r/base/Special.html" class="external-link">digamma()</a></code>, <code><a href="https://rdrr.io/r/base/Log.html" class="external-link">exp()</a></code>, <code><a href="https://rdrr.io/r/base/Log.html" class="external-link">expm1()</a></code>, <code><a href="https://rdrr.io/r/base/Round.html" class="external-link">floor()</a></code>, <code><a href="https://rdrr.io/r/base/Special.html" class="external-link">gamma()</a></code>, <code><a href="https://rdrr.io/r/base/Special.html" class="external-link">lgamma()</a></code>, <code><a href="https://rdrr.io/r/base/Log.html" class="external-link">log()</a></code>, <code><a href="https://rdrr.io/r/base/Log.html" class="external-link">log1p()</a></code>, <code><a href="https://rdrr.io/r/base/Log.html" class="external-link">log2()</a></code>, <code><a href="https://rdrr.io/r/base/Log.html" class="external-link">log10()</a></code>, <code><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max()</a></code>, <code><a href="https://rdrr.io/r/base/mean.html" class="external-link">mean()</a></code>, <code><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">min()</a></code>, <code><a href="https://rdrr.io/r/base/prod.html" class="external-link">prod()</a></code>, <code><a href="https://rdrr.io/r/base/range.html" class="external-link">range()</a></code>, <code><a href="https://rdrr.io/r/base/Round.html" class="external-link">round()</a></code>, <code><a href="https://rdrr.io/r/base/sign.html" class="external-link">sign()</a></code>, <code><a href="https://rdrr.io/r/base/Round.html" class="external-link">signif()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">sin()</a></code>, <code><a href="https://rdrr.io/r/base/Hyperbolic.html" class="external-link">sinh()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">sinpi()</a></code>, <code><a href="https://rdrr.io/r/base/MathFun.html" class="external-link">sqrt()</a></code>, <code><a href="https://rdrr.io/r/base/sum.html" class="external-link">sum()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">tan()</a></code>, <code><a href="https://rdrr.io/r/base/Hyperbolic.html" class="external-link">tanh()</a></code>, <code><a href="https://rdrr.io/r/base/Trig.html" class="external-link">tanpi()</a></code>, <code><a href="https://rdrr.io/r/base/Special.html" class="external-link">trigamma()</a></code> and <code><a href="https://rdrr.io/r/base/Round.html" class="external-link">trunc()</a></code>. Some functions of the <code>stats</code> package are also implemented: <code><a href="https://rdrr.io/r/stats/median.html" class="external-link">median()</a></code>, <code><a href="https://rdrr.io/r/stats/quantile.html" class="external-link">quantile()</a></code>, <code><a href="https://rdrr.io/r/stats/mad.html" class="external-link">mad()</a></code>, <code><a href="https://rdrr.io/r/stats/IQR.html" class="external-link">IQR()</a></code>, <code><a href="https://rdrr.io/r/stats/fivenum.html" class="external-link">fivenum()</a></code>. Also, <code><a href="https://rdrr.io/r/grDevices/boxplot.stats.html" class="external-link">boxplot.stats()</a></code> is supported. Since <code><a href="https://rdrr.io/r/stats/sd.html" class="external-link">sd()</a></code> and <code><a href="https://rdrr.io/r/stats/cor.html" class="external-link">var()</a></code> are non-generic functions, these could not be extended. Use <code><a href="https://rdrr.io/r/stats/mad.html" class="external-link">mad()</a></code> as an alternative, or use e.g. <code>sd(as.numeric(x))</code> where <code>x</code> is your vector of MIC values.</p>
<p><code>NA_mic_</code> is a missing value of the new <code>&lt;mic&gt;</code> class.</p>
</div>
<div id="stable-lifecycle">
<h2>Stable Lifecycle</h2>
<p><img src="figures/lifecycle_stable.svg" style="margin-bottom:5px"><br>
The <a href="lifecycle.html">lifecycle</a> of this function is <strong>stable</strong>. In a stable function, major changes are unlikely. This means that the unlying code will generally evolve by adding new arguments; removing arguments or changing the meaning of existing arguments will be avoided.</p>
<p>If the unlying code needs breaking changes, they will occur gradually. For example, an argument will be deprecated and first continue to work, but will emit an message informing you of the change. Next, typically after at least one newly released version on CRAN, the message will be transformed to an error.</p>
</div>
<div id="read-more-on-our-website-">
<h2>Read more on Our Website!</h2>
<p>On our website <a href="https://msberends.github.io/AMR/">https://msberends.github.io/AMR/</a> you can find <a href="https://msberends.github.io/AMR/articles/AMR.html">a comprehensive tutorial</a> about how to conduct AMR data analysis, the <a href="https://msberends.github.io/AMR/reference/">complete documentation of all functions</a> and <a href="https://msberends.github.io/AMR/articles/WHONET.html">an example analysis using WHONET data</a>.</p>
</div>
<div id="see-also">
<h2>See also</h2>
<div class="dont-index"><p><code><a href="as.rsi.html">as.rsi()</a></code></p></div>
</div>
<div id="ref-examples">
<h2>Examples</h2>
<div class="sourceCode"><pre class="sourceCode r"><code><span class="va">mic_data</span> <span class="op">&lt;-</span> <span class="fu">as.mic</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">"&gt;=32"</span>, <span class="st">"1.0"</span>, <span class="st">"1"</span>, <span class="st">"1.00"</span>, <span class="fl">8</span>, <span class="st">"&lt;=0.128"</span>, <span class="st">"8"</span>, <span class="st">"16"</span>, <span class="st">"16"</span><span class="op">)</span><span class="op">)</span>
<span class="fu">is.mic</span><span class="op">(</span><span class="va">mic_data</span><span class="op">)</span>
<span class="co"># this can also coerce combined MIC/RSI values:</span>
<span class="fu">as.mic</span><span class="op">(</span><span class="st">"&lt;=0.002; S"</span><span class="op">)</span> <span class="co"># will return &lt;=0.002</span>
<span class="co"># mathematical processing treats MICs as [numeric] values</span>
<span class="fu"><a href="https://rdrr.io/r/stats/fivenum.html" class="external-link">fivenum</a></span><span class="op">(</span><span class="va">mic_data</span><span class="op">)</span>
<span class="fu"><a href="https://rdrr.io/r/stats/quantile.html" class="external-link">quantile</a></span><span class="op">(</span><span class="va">mic_data</span><span class="op">)</span>
<span class="fu"><a href="https://rdrr.io/r/base/all.html" class="external-link">all</a></span><span class="op">(</span><span class="va">mic_data</span> <span class="op">&lt;</span> <span class="fl">512</span><span class="op">)</span>
<span class="co"># interpret MIC values</span>
<span class="fu"><a href="as.rsi.html">as.rsi</a></span><span class="op">(</span>x <span class="op">=</span> <span class="fu">as.mic</span><span class="op">(</span><span class="fl">2</span><span class="op">)</span>,
mo <span class="op">=</span> <span class="fu"><a href="as.mo.html">as.mo</a></span><span class="op">(</span><span class="st">"S. pneumoniae"</span><span class="op">)</span>,
ab <span class="op">=</span> <span class="st">"AMX"</span>,
guideline <span class="op">=</span> <span class="st">"EUCAST"</span><span class="op">)</span>
<span class="fu"><a href="as.rsi.html">as.rsi</a></span><span class="op">(</span>x <span class="op">=</span> <span class="fu">as.mic</span><span class="op">(</span><span class="fl">4</span><span class="op">)</span>,
mo <span class="op">=</span> <span class="fu"><a href="as.mo.html">as.mo</a></span><span class="op">(</span><span class="st">"S. pneumoniae"</span><span class="op">)</span>,
ab <span class="op">=</span> <span class="st">"AMX"</span>,
guideline <span class="op">=</span> <span class="st">"EUCAST"</span><span class="op">)</span>
<span class="co"># plot MIC values, see ?plot</span>
<span class="fu"><a href="plot.html">plot</a></span><span class="op">(</span><span class="va">mic_data</span><span class="op">)</span>
<span class="fu"><a href="plot.html">plot</a></span><span class="op">(</span><span class="va">mic_data</span>, mo <span class="op">=</span> <span class="st">"E. coli"</span>, ab <span class="op">=</span> <span class="st">"cipro"</span><span class="op">)</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>
<footer><div class="copyright">
<p></p><p>Developed by Matthijs S. Berends, Christian F. Luz, Dennis Souverein, Erwin E. A. Hassing.</p>
</div>
<div class="pkgdown">
<p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.0.</p>
</div>
</footer></div>
</body></html>