Merge branch 'master' into mxkin

18 files changed, 630 insertions, 28 deletions

diff --git a/docs/404.html b/docs/404.html
index 2a71e496..3658a137 100644
--- a/docs/404.html
+++ b/docs/404.html
@@ -67,7 +67,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="https://pkgdown.jrwb.de/mkin/index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
diff --git a/docs/articles/index.html b/docs/articles/index.html
index ac5f5df1..3e181a2c 100644
--- a/docs/articles/index.html
+++ b/docs/articles/index.html
@@ -67,7 +67,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
diff --git a/docs/authors.html b/docs/authors.html
index fb50f268..2bb2557a 100644
--- a/docs/authors.html
+++ b/docs/authors.html
@@ -67,7 +67,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
diff --git a/docs/index.html b/docs/index.html
index 231ef39f..fe334eb8 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -14,11 +14,10 @@
 <meta property="og:description" content="Calculation routines based on the FOCUS Kinetics Report (2006,
   2014).  Includes a function for conveniently defining differential equation
   models, model solution based on eigenvalues if possible or using numerical
-  solvers and a choice of the optimisation methods made available by the FME
-  package.  If a C compiler (on windows: Rtools) is installed, differential
-  equation models are solved using compiled C functions.  Please note that no
-  warranty is implied for correctness of results or fitness for a particular
-  purpose.">
+  solvers.  If a C compiler (on windows: Rtools) is installed, differential
+  equation models are solved using automatically generated C functions.  Please
+  note that no warranty is implied for correctness of results or fitness for a
+  particular purpose.">
 <meta name="twitter:card" content="summary">
 <!-- 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>
@@ -38,7 +37,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
@@ -127,14 +126,14 @@
 <li>As of version 0.9-39, fitting of several models to several datasets, optionally in parallel, is supported, see for example <a href="https://pkgdown.jrwb.de/mkin/reference/plot.mmkin.html"><code>plot.mmkin</code></a>.</li>
 <li>Model solution (forward modelling) in the function <a href="https://pkgdown.jrwb.de/mkin/reference/mkinpredict.html"><code>mkinpredict</code></a> is performed either using the analytical solution for the case of parent only degradation, an eigenvalue based solution if only simple first-order (SFO) or SFORB kinetics are used in the model, or using a numeric solver from the <code>deSolve</code> package (default is <code>lsoda</code>).</li>
 <li>If a C compiler is installed, the kinetic models are compiled from automatically generated C code, see <a href="https://pkgdown.jrwb.de/mkin/articles/web_only/compiled_models.html">vignette <code>compiled_models</code></a>. The autogeneration of C code was inspired by the <a href="https://github.com/karlines/ccSolve"><code>ccSolve</code></a> package. Thanks to Karline Soetaert for her work on that.</li>
-<li>By default, kinetic rate constants and kinetic formation fractions are transformed internally using <a href="https://pkgdown.jrwb.de/mkin/reference/transform_odeparms.html"><code>transform_odeparms</code></a> so their estimators can more reasonably be expected to follow a normal distribution. This has the side effect that no constraints are needed in the optimisation. Thanks to René Lehmann for the nice cooperation on this, especially the isometric logration transformation that is now used for the formation fractions.</li>
+<li>By default, kinetic rate constants and kinetic formation fractions are transformed internally using <a href="https://pkgdown.jrwb.de/mkin/reference/transform_odeparms.html"><code>transform_odeparms</code></a> so their estimators can more reasonably be expected to follow a normal distribution. This has the side effect that no constraints are needed in the optimisation. Thanks to René Lehmann for the nice cooperation on this, especially the isometric log-ratio transformation that is now used for the formation fractions.</li>
 <li>A side effect of this is that when parameter estimates are backtransformed to match the model definition, confidence intervals calculated from standard errors are also backtransformed to the correct scale, and will not include meaningless values like negative rate constants or formation fractions adding up to more than 1, which can not occur in a single experiment with a single defined radiolabel position.</li>
 <li>The usual one-sided t-test for significant difference from zero is nevertheless shown based on estimators for the untransformed parameters.</li>
 <li>Summary and plotting functions. The <code>summary</code> of an <code>mkinfit</code> object is in fact a full report that should give enough information to be able to approximately reproduce the fit with other tools.</li>
 <li>The chi-squared error level as defined in the FOCUS kinetics guidance (see below) is calculated for each observed variable.</li>
 <li>When a metabolite decline phase is not described well by SFO kinetics, SFORB kinetics can be used for the metabolite.</li>
 <li>Three different error models can be selected using the argument <code>error_model</code> to the <a href="https://pkgdown.jrwb.de/mkin/reference/mkinfit.html"><code>mkinfit</code></a> function.</li>
-<li>Iteratively reweighted least squares fitting is now obsolete, and the variance by variable error model should now be specified as <code>error_model = "obs"</code>.</li>
+<li>The ‘variance by variable’ error model which is often fitted using Iteratively Reweighted Least Squares (IRLS) should now be specified as <code>error_model = "obs"</code>.</li>
 <li>A two-component error model similar to the one proposed by <a href="https://pkgdown.jrwb.de/mkin/reference/sigma_twocomp.html">Rocke and Lorenzato</a> can be selected using the argument <code>error_model = "tc"</code>.</li>
 </ul>
 </div>
@@ -151,8 +150,8 @@
 <div id="credits-and-historical-remarks" class="section level2">
 <h2 class="hasAnchor">
 <a href="#credits-and-historical-remarks" class="anchor"></a>Credits and historical remarks</h2>
-<p><code>mkin</code> would not be possible without the underlying software stack consisting of R and the packages <a href="https://cran.r-project.org/package=deSolve">deSolve</a> and <a href="https://cran.r-project.org/package=FME">FME</a>, to say the least.</p>
-<p>It could not have been written without me being introduced to regulatory fate modelling of pesticides by Adrian Gurney during my time at Harlan Laboratories Ltd (formerly RCC Ltd). <code>mkin</code> greatly profits from and largely follows the work done by the <a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics">FOCUS Degradation Kinetics Workgroup</a>, as detailed in their guidance document from 2006, slightly updated in 2011 and in 2014.</p>
+<p><code>mkin</code> would not be possible without the underlying software stack consisting of, among others, R and the package <a href="https://cran.r-project.org/package=deSolve">deSolve</a>. In previous version, <code>mkin</code> was also using the functionality of the <a href="https://cran.r-project.org/package=FME">FME</a> package. Please refer to the <a href="https://cran.r-project.org/package=mkin">package page on CRAN</a> for the full list of imported and suggested R packages. Also, <a href="https://debian.org">Debian Linux</a>, the vim editor and the <a href="https://github.com/jalvesaq/Nvim-R">Nvim-R</a> plugin have been invaluable in its development.</p>
+<p><code>mkin</code> could not have been written without me being introduced to regulatory fate modelling of pesticides by Adrian Gurney during my time at Harlan Laboratories Ltd (formerly RCC Ltd). <code>mkin</code> greatly profits from and largely follows the work done by the <a href="http://esdac.jrc.ec.europa.eu/projects/degradation-kinetics">FOCUS Degradation Kinetics Workgroup</a>, as detailed in their guidance document from 2006, slightly updated in 2011 and in 2014.</p>
 <p>Also, it was inspired by the first version of KinGUI developed by BayerCropScience, which is based on the MatLab runtime environment.</p>
 <p>The companion package <a href="http://kinfit.r-forge.r-project.org/kinfit_static/index.html">kinfit</a> (now deprecated) was <a href="https://r-forge.r-project.org/scm/viewvc.php?view=rev&amp;root=kinfit&amp;revision=2">started in 2008</a> and <a href="https://cran.r-project.org/src/contrib/Archive/kinfit/">first published</a> on CRAN on 01 May 2010.</p>
 <p>The first <code>mkin</code> code was <a href="https://r-forge.r-project.org/scm/viewvc.php?view=rev&amp;root=kinfit&amp;revision=8">published on 11 May 2010</a> and the <a href="https://cran.r-project.org/src/contrib/Archive/mkin">first CRAN version</a> on 18 May 2010.</p>
@@ -160,10 +159,28 @@
 <p>Somewhat in parallel, Syngenta has sponsored the development of an <code>mkin</code> and KinGUII based GUI application called CAKE, which also adds IRLS and MCMC, is more limited in the model formulation, but puts more weight on usability. CAKE is available for download from the <a href="https://www.tessella.com/showcase/computer-assisted-kinetic-evaluation">CAKE website</a>, where you can also find a zip archive of the R scripts derived from <code>mkin</code>, published under the GPL license.</p>
 <p>Finally, there is <a href="http://github.com/zhenglei-gao/KineticEval">KineticEval</a>, which contains a further development of the scripts used for KinGUII, so the different tools will hopefully be able to learn from each other in the future as well.</p>
 </div>
+<div id="references" class="section level2">
+<h2 class="hasAnchor">
+<a href="#references" class="anchor"></a>References</h2>
+<table class="table">
+<tr><td>Ranke J, Meinecke S (2019)
+  Error Models for the Kinetic Evaluation of Chemical Degradation Data
+  <i>Environments</i>
+  <b>6</b> (12) 124
+  <a href="https://doi.org/10.3390/environments6120124">doi:10.3390/environments6120124</a>
+  </td></tr>
+<tr><td>Ranke J, Wöltjen J, Meinecke S (2018)
+  Comparison of software tools for kinetic evaluation of chemical degradation data
+  <i>Environmental Sciences Europe</i>
+  <b>30</b> 17
+  <a href="https://doi.org/10.1186/s12302-018-0145-1">doi:10.1186/s12302-018-0145-1</a>
+  </td></tr>
+</table>
+</div>
 <div id="development" class="section level2">
 <h2 class="hasAnchor">
 <a href="#development" class="anchor"></a>Development</h2>
-<p>Contributions are welcome! Your <a href="https://help.github.com/articles/fork-a-repo">mkin fork</a> is just a mouse click away… The master branch on github should always be in good shape, I implement new features in separate branches now. If you prefer subversion, project members for the <a href="http://r-forge.r-project.org/R/?group_id=615">r-forge project</a> are welcome as well. Generally, the source code of the latest CRAN version should be available there. You can also browse the source code at <a href="http://cgit.jrwb.de/mkin">cgit.jrwb.de/mkin</a>.</p>
+<p>Contributions are welcome!</p>
 </div>
 </div>
   </div>
diff --git a/docs/news/index.html b/docs/news/index.html
index 48ba25e5..3327e48f 100644
--- a/docs/news/index.html
+++ b/docs/news/index.html
@@ -67,7 +67,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
@@ -134,6 +134,8 @@
 <a href="#mkin-0-9-49-8-unreleased" class="anchor"></a>mkin 0.9.49.8 (unreleased)<small> Unreleased </small>
 </h1>
 <ul>
+<li><p>‘aw’: Generic function for calculating Akaike weights, methods for mkinfit objects and mmkin columns</p></li>
+<li><p>‘loftest’: Add a lack-of-fit test</p></li>
 <li><p>‘plot_res’, ‘plot_sep’ and ‘mkinerrplot’: Add the possibility to show standardized residuals and make it the default for fits with error models other than ‘const’</p></li>
 <li><p>‘lrtest.mkinfit’: Improve naming of the compared fits in the case of fixed parameters</p></li>
 <li><p>‘confint.mkinfit’: Make the quadratic approximation the default, as the likelihood profiling takes a lot of time, especially if the fit has more than three parameters</p></li>
@@ -145,7 +147,7 @@
 </h1>
 <ul>
 <li><p>Fix a bug introduced in 0.9.49.6 that occurred if the direct optimisation yielded a higher likelihood than the three-step optimisation in the d_3 algorithm, which caused the fitted parameters of the three-step optimisation to be returned instead of the parameters of the direct optimisation</p></li>
-<li><p>Add an ‘nobs’ method for mkinfit methods, enabling the default ‘BIC’ method from the stats package. Also, add a ‘BIC’ method for mmkin column objects.</p></li>
+<li><p>Add a ‘nobs’ method for mkinfit objects, enabling the default ‘BIC’ method from the stats package. Also, add a ‘BIC’ method for mmkin column objects.</p></li>
 </ul>
 </div>
     <div id="mkin-0-9-49-6-2019-10-31" class="section level1">
diff --git a/docs/reference/aw.html b/docs/reference/aw.html
new file mode 100644
index 00000000..22201229
--- /dev/null
+++ b/docs/reference/aw.html
@@ -0,0 +1,214 @@
+<!-- Generated by pkgdown: do not edit by hand -->
+<!DOCTYPE html>
+<html lang="en">
+  <head>
+  <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>Calculate Akaike weights for model averaging — aw • mkin</title>
+
+
+<!-- jquery -->
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+<!-- Bootstrap -->
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+
+<!-- headroom.js -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/headroom.min.js" integrity="sha256-DJFC1kqIhelURkuza0AvYal5RxMtpzLjFhsnVIeuk+U=" crossorigin="anonymous"></script>
+<script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.9.4/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script>
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+<meta property="og:title" content="Calculate Akaike weights for model averaging — aw" />
+<meta property="og:description" content="Akaike weights are calculated based on the relative
+expected Kullback-Leibler information as specified
+by Burnham and Anderson (2004)." />
+<meta name="twitter:card" content="summary" />
+
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+
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+      <a href="../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a>
+    </li>
+    <li>
+      <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>
+    </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/twa.html">Calculation of time weighted average concentrations with mkin</a>
+    </li>
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+      <a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a>
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+  <div class="col-md-9 contents">
+    <div class="page-header">
+    <h1>Calculate Akaike weights for model averaging</h1>
+    
+    <div class="hidden name"><code>aw.Rd</code></div>
+    </div>
+
+    <div class="ref-description">
+    <p>Akaike weights are calculated based on the relative
+expected Kullback-Leibler information as specified
+by Burnham and Anderson (2004).</p>
+    </div>
+
+    <pre class="usage"><span class='fu'>aw</span>(<span class='no'>object</span>, <span class='no'>...</span>)
+
+<span class='co'># S3 method for mkinfit</span>
+<span class='fu'>aw</span>(<span class='no'>object</span>, <span class='no'>...</span>)
+
+<span class='co'># S3 method for mmkin</span>
+<span class='fu'>aw</span>(<span class='no'>object</span>, <span class='no'>...</span>)</pre>
+
+    <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
+    <table class="ref-arguments">
+    <colgroup><col class="name" /><col class="desc" /></colgroup>
+    <tr>
+      <th>object</th>
+      <td><p>An <a href='mmkin.html'>mmkin</a> column object, containing two or more
+<a href='mkinfit.html'>mkinfit</a> models that have been fitted to the same data,
+or an mkinfit object. In the latter case, further mkinfit
+objects fitted to the same data should be specified
+as dots arguments.</p></td>
+    </tr>
+    <tr>
+      <th>...</th>
+      <td><p>Not used in the method for <a href='mmkin.html'>mmkin</a> column objects,
+further <a href='mkinfit.html'>mkinfit</a> objects in the method for mkinfit objects.</p></td>
+    </tr>
+    </table>
+
+    <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>
+
+    <p>Burnham KP and Anderson DR (2004) Multimodel
+Inference: Understanding AIC and BIC in Model Selection.
+<em>Sociological Methods &amp; Research</em> <strong>33</strong>(2) 261-304</p>
+
+    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
+    <pre class="examples"><div class='input'><span class='co'># \dontrun{</span>
+<span class='no'>f_sfo</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"SFO"</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='no'>f_dfop</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"DFOP"</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='no'>aw_sfo_dfop</span> <span class='kw'>&lt;-</span> <span class='fu'>aw</span>(<span class='no'>f_sfo</span>, <span class='no'>f_dfop</span>)
+<span class='fu'><a href='https://rdrr.io/r/base/sum.html'>sum</a></span>(<span class='no'>aw_sfo_dfop</span>)</div><div class='output co'>#&gt; [1] 1</div><div class='input'><span class='no'>aw_sfo_dfop</span> <span class='co'># SFO gets more weight as it has less parameters and a similar fit</span></div><div class='output co'>#&gt; [1] 0.5970258 0.4029742</div><div class='input'><span class='no'>f</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mmkin.html'>mmkin</a></span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"FOMC"</span>, <span class='st'>"DFOP"</span>), <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='st'>"FOCUS D"</span> <span class='kw'>=</span> <span class='no'>FOCUS_2006_D</span>), <span class='kw'>cores</span> <span class='kw'>=</span> <span class='fl'>1</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='fu'>aw</span>(<span class='no'>f</span>)</div><div class='output co'>#&gt; [1] 0.4808722 0.1945539 0.3245740</div><div class='input'><span class='fu'><a href='https://rdrr.io/r/base/sum.html'>sum</a></span>(<span class='fu'>aw</span>(<span class='no'>f</span>))</div><div class='output co'>#&gt; [1] 1</div><div class='input'><span class='fu'>aw</span>(<span class='no'>f</span>[<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"SFO"</span>, <span class='st'>"DFOP"</span>)])</div><div class='output co'>#&gt; [1] 0.5970258 0.4029742</div><div class='input'># }
+</div></pre>
+  </div>
+  <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
+    <h2>Contents</h2>
+    <ul class="nav nav-pills nav-stacked">
+      <li><a href="#arguments">Arguments</a></li>
+      <li><a href="#references">References</a></li>
+      <li><a href="#examples">Examples</a></li>
+    </ul>
+
+  </div>
+</div>
+
+
+      <footer>
+      <div class="copyright">
+  <p>Developed by Johannes Ranke.</p>
+</div>
+
+<div class="pkgdown">
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+</div>
+
+      </footer>
+   </div>
+
+  
+
+
+  </body>
+</html>
+
+
diff --git a/docs/reference/index.html b/docs/reference/index.html
index 1c9975e0..6ccc9255 100644
--- a/docs/reference/index.html
+++ b/docs/reference/index.html
@@ -67,7 +67,7 @@
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
@@ -209,12 +209,18 @@ more datasets</p></td>
       </tr><tr>
         
         <td>
-          <p><code><a href="lrtest.mkinfit.html">lrtest(<i>&lt;mkinfit&gt;</i>)</a></code> </p>
+          <p><code><a href="lrtest.mkinfit.html">lrtest(<i>&lt;mkinfit&gt;</i>)</a></code> <code><a href="lrtest.mkinfit.html">lrtest(<i>&lt;mmkin&gt;</i>)</a></code> </p>
         </td>
         <td><p>Likelihood ratio test for mkinfit models</p></td>
       </tr><tr>
         
         <td>
+          <p><code><a href="loftest.html">loftest()</a></code> </p>
+        </td>
+        <td><p>Lack-of-fit test for models fitted to data with replicates</p></td>
+      </tr><tr>
+        
+        <td>
           <p><code><a href="mkinerrmin.html">mkinerrmin()</a></code> </p>
         </td>
         <td><p>Calculate the minimum error to assume in order to pass the variance test</p></td>
@@ -228,6 +234,12 @@ with mkinfit</p></td>
       </tr><tr>
         
         <td>
+          <p><code><a href="aw.html">aw()</a></code> </p>
+        </td>
+        <td><p>Calculate Akaike weights for model averaging</p></td>
+      </tr><tr>
+        
+        <td>
           <p><code><a href="CAKE_export.html">CAKE_export()</a></code> </p>
         </td>
         <td><p>Export a list of datasets format to a CAKE study file</p></td>
@@ -432,7 +444,7 @@ kinetic models fitted with mkinfit</p></td>
         <td>
           <p><code><a href="sigma_twocomp.html">sigma_twocomp()</a></code> </p>
         </td>
-        <td><p>Two component error model</p></td>
+        <td><p>Two-component error model</p></td>
       </tr><tr>
         
         <td>
diff --git a/docs/reference/loftest-1.png b/docs/reference/loftest-1.png
new file mode 100644
index 00000000..3d20f41e
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+++ b/docs/reference/loftest-1.png
diff --git a/docs/reference/loftest-2.png b/docs/reference/loftest-2.png
new file mode 100644
index 00000000..be8bf815
--- /dev/null
+++ b/docs/reference/loftest-2.png
diff --git a/docs/reference/loftest-3.png b/docs/reference/loftest-3.png
new file mode 100644
index 00000000..c66c95f1
--- /dev/null
+++ b/docs/reference/loftest-3.png
diff --git a/docs/reference/loftest-4.png b/docs/reference/loftest-4.png
new file mode 100644
index 00000000..da86d97f
--- /dev/null
+++ b/docs/reference/loftest-4.png
diff --git a/docs/reference/loftest-5.png b/docs/reference/loftest-5.png
new file mode 100644
index 00000000..54b176e7
--- /dev/null
+++ b/docs/reference/loftest-5.png
diff --git a/docs/reference/loftest.html b/docs/reference/loftest.html
new file mode 100644
index 00000000..757f0bbe
--- /dev/null
+++ b/docs/reference/loftest.html
@@ -0,0 +1,343 @@
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+objects. It fits an anova model to the data contained in the object and
+compares the likelihoods using the likelihood ratio test
+lrtest.default from the lmtest package." />
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+    <div class="page-header">
+    <h1>Lack-of-fit test for models fitted to data with replicates</h1>
+    
+    <div class="hidden name"><code>loftest.Rd</code></div>
+    </div>
+
+    <div class="ref-description">
+    <p>This is a generic function with a method currently only defined for mkinfit
+objects. It fits an anova model to the data contained in the object and
+compares the likelihoods using the likelihood ratio test
+<code><a href='https://rdrr.io/pkg/lmtest/man/lrtest.html'>lrtest.default</a></code> from the lmtest package.</p>
+    </div>
+
+    <pre class="usage"><span class='fu'>loftest</span>(<span class='no'>object</span>, <span class='no'>...</span>)
+
+<span class='co'># S3 method for mkinfit</span>
+<span class='fu'>loftest</span>(<span class='no'>object</span>, <span class='no'>...</span>)</pre>
+
+    <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
+    <table class="ref-arguments">
+    <colgroup><col class="name" /><col class="desc" /></colgroup>
+    <tr>
+      <th>object</th>
+      <td><p>A model object with a defined loftest method</p></td>
+    </tr>
+    <tr>
+      <th>...</th>
+      <td><p>Not used</p></td>
+    </tr>
+    </table>
+
+    <h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2>
+
+    <p>The anova model is interpreted as the simplest form of an mkinfit model,
+assuming only a constant variance about the means, but not enforcing any
+structure of the means, so we have one model parameter for every mean
+of replicate samples.</p>
+    <h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
+
+    <div class='dont-index'><p>lrtest</p></div>
+
+    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
+    <pre class="examples"><div class='input'><span class='co'># \dontrun{</span>
+<span class='no'>test_data</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/subset.html'>subset</a></span>(<span class='no'>synthetic_data_for_UBA_2014</span><span class='kw'>[[</span><span class='fl'>12</span>]]$<span class='no'>data</span>, <span class='no'>name</span> <span class='kw'>==</span> <span class='st'>"parent"</span>)
+<span class='no'>sfo_fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"SFO"</span>, <span class='no'>test_data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='fu'><a href='plot.mkinfit.html'>plot_res</a></span>(<span class='no'>sfo_fit</span>) <span class='co'># We see a clear pattern in the residuals</span></div><div class='img'><img src='loftest-1.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'>loftest</span>(<span class='no'>sfo_fit</span>)  <span class='co'># We have a clear lack of fit</span></div><div class='output co'>#&gt; Likelihood ratio test
+#&gt; 
+#&gt; Model 1: ANOVA with error model const
+#&gt; Model 2: SFO with error model const
+#&gt;   #Df  LogLik Df  Chisq Pr(&gt;Chisq)    
+#&gt; 1  10 -40.710                         
+#&gt; 2   3 -63.954 -7 46.487  7.027e-08 ***
+#&gt; ---
+#&gt; Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1</div><div class='input'><span class='co'>#</span>
+<span class='co'># We try a different model (the one that was used to generate the data)</span>
+<span class='no'>dfop_fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='st'>"DFOP"</span>, <span class='no'>test_data</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='fu'><a href='plot.mkinfit.html'>plot_res</a></span>(<span class='no'>dfop_fit</span>) <span class='co'># We don't see systematic deviations, but heteroscedastic residuals</span></div><div class='img'><img src='loftest-2.png' alt='' width='700' height='433' /></div><div class='input'><span class='co'># therefore we should consider adapting the error model, although we have</span>
+<span class='fu'>loftest</span>(<span class='no'>dfop_fit</span>) <span class='co'># no lack of fit</span></div><div class='output co'>#&gt; Likelihood ratio test
+#&gt; 
+#&gt; Model 1: ANOVA with error model const
+#&gt; Model 2: DFOP with error model const
+#&gt;   #Df  LogLik Df Chisq Pr(&gt;Chisq)
+#&gt; 1  10 -40.710                    
+#&gt; 2   5 -42.453 -5 3.485     0.6257</div><div class='input'><span class='co'>#</span>
+<span class='co'># This is the anova model used internally for the comparison</span>
+<span class='no'>test_data_anova</span> <span class='kw'>&lt;-</span> <span class='no'>test_data</span>
+<span class='no'>test_data_anova</span>$<span class='no'>time</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/factor.html'>as.factor</a></span>(<span class='no'>test_data_anova</span>$<span class='no'>time</span>)
+<span class='no'>anova_fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/stats/lm.html'>lm</a></span>(<span class='no'>value</span> ~ <span class='no'>time</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>test_data_anova</span>)
+<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>anova_fit</span>)</div><div class='output co'>#&gt; 
+#&gt; Call:
+#&gt; lm(formula = value ~ time, data = test_data_anova)
+#&gt; 
+#&gt; Residuals:
+#&gt;     Min      1Q  Median      3Q     Max 
+#&gt; -6.1000 -0.5625  0.0000  0.5625  6.1000 
+#&gt; 
+#&gt; Coefficients:
+#&gt;             Estimate Std. Error t value Pr(&gt;|t|)    
+#&gt; (Intercept)  103.150      2.323  44.409 7.44e-12 ***
+#&gt; time1        -19.950      3.285  -6.073 0.000185 ***
+#&gt; time3        -50.800      3.285 -15.465 8.65e-08 ***
+#&gt; time7        -68.500      3.285 -20.854 6.28e-09 ***
+#&gt; time14       -79.750      3.285 -24.278 1.63e-09 ***
+#&gt; time28       -86.000      3.285 -26.181 8.35e-10 ***
+#&gt; time60       -94.900      3.285 -28.891 3.48e-10 ***
+#&gt; time90       -98.500      3.285 -29.986 2.49e-10 ***
+#&gt; time120     -100.450      3.285 -30.580 2.09e-10 ***
+#&gt; ---
+#&gt; Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#&gt; 
+#&gt; Residual standard error: 3.285 on 9 degrees of freedom
+#&gt; Multiple R-squared:  0.9953,	Adjusted R-squared:  0.9912 
+#&gt; F-statistic: 240.5 on 8 and 9 DF,  p-value: 1.417e-09
+#&gt; </div><div class='input'><span class='fu'><a href='https://rdrr.io/r/stats/logLik.html'>logLik</a></span>(<span class='no'>anova_fit</span>) <span class='co'># We get the same likelihood and degrees of freedom</span></div><div class='output co'>#&gt; 'log Lik.' -40.71015 (df=10)</div><div class='input'><span class='co'>#</span>
+<span class='no'>test_data_2</span> <span class='kw'>&lt;-</span> <span class='no'>synthetic_data_for_UBA_2014</span><span class='kw'>[[</span><span class='fl'>12</span>]]$<span class='no'>data</span>
+<span class='no'>m_synth_SFO_lin</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"M1"</span>),
+  <span class='kw'>M1</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='st'>"M2"</span>),
+  <span class='kw'>M2</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>sfo_lin_fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_synth_SFO_lin</span>, <span class='no'>test_data_2</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='fu'><a href='plot.mkinfit.html'>plot_res</a></span>(<span class='no'>sfo_lin_fit</span>) <span class='co'># not a good model, we try parallel formation</span></div><div class='img'><img src='loftest-3.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'>loftest</span>(<span class='no'>sfo_lin_fit</span>)</div><div class='output co'>#&gt; Likelihood ratio test
+#&gt; 
+#&gt; Model 1: ANOVA with error model const
+#&gt; Model 2: m_synth_SFO_lin with error model const and fixed parameter(s) M1_0, M2_0
+#&gt;   #Df   LogLik  Df  Chisq Pr(&gt;Chisq)    
+#&gt; 1  28  -93.606                          
+#&gt; 2   7 -171.927 -21 156.64  &lt; 2.2e-16 ***
+#&gt; ---
+#&gt; Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1</div><div class='input'><span class='co'>#</span>
+<span class='no'>m_synth_SFO_par</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"M1"</span>, <span class='st'>"M2"</span>)),
+  <span class='kw'>M1</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>),
+  <span class='kw'>M2</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>sfo_par_fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_synth_SFO_par</span>, <span class='no'>test_data_2</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='fu'><a href='plot.mkinfit.html'>plot_res</a></span>(<span class='no'>sfo_par_fit</span>) <span class='co'># much better for metabolites</span></div><div class='img'><img src='loftest-4.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'>loftest</span>(<span class='no'>sfo_par_fit</span>)</div><div class='output co'>#&gt; Likelihood ratio test
+#&gt; 
+#&gt; Model 1: ANOVA with error model const
+#&gt; Model 2: m_synth_SFO_par with error model const and fixed parameter(s) M1_0, M2_0
+#&gt;   #Df   LogLik  Df  Chisq Pr(&gt;Chisq)    
+#&gt; 1  28  -93.606                          
+#&gt; 2   7 -156.331 -21 125.45  &lt; 2.2e-16 ***
+#&gt; ---
+#&gt; Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1</div><div class='input'><span class='co'>#</span>
+<span class='no'>m_synth_DFOP_par</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinmod.html'>mkinmod</a></span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"DFOP"</span>, <span class='kw'>to</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"M1"</span>, <span class='st'>"M2"</span>)),
+  <span class='kw'>M1</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>),
+  <span class='kw'>M2</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>type</span> <span class='kw'>=</span> <span class='st'>"SFO"</span>), <span class='kw'>use_of_ff</span> <span class='kw'>=</span> <span class='st'>"max"</span>)</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>dfop_par_fit</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='mkinfit.html'>mkinfit</a></span>(<span class='no'>m_synth_DFOP_par</span>, <span class='no'>test_data_2</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)
+<span class='fu'><a href='plot.mkinfit.html'>plot_res</a></span>(<span class='no'>dfop_par_fit</span>) <span class='co'># No visual lack of fit</span></div><div class='img'><img src='loftest-5.png' alt='' width='700' height='433' /></div><div class='input'><span class='fu'>loftest</span>(<span class='no'>dfop_par_fit</span>)  <span class='co'># no lack of fit found by the test</span></div><div class='output co'>#&gt; Likelihood ratio test
+#&gt; 
+#&gt; Model 1: ANOVA with error model const
+#&gt; Model 2: m_synth_DFOP_par with error model const and fixed parameter(s) M1_0, M2_0
+#&gt;   #Df   LogLik  Df  Chisq Pr(&gt;Chisq)
+#&gt; 1  28  -93.606                      
+#&gt; 2   9 -102.763 -19 18.313     0.5016</div><div class='input'><span class='co'>#</span>
+<span class='co'># The anova model used for comparison in the case of transformation products</span>
+<span class='no'>test_data_anova_2</span> <span class='kw'>&lt;-</span> <span class='no'>dfop_par_fit</span>$<span class='no'>data</span>
+<span class='no'>test_data_anova_2</span>$<span class='no'>variable</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/factor.html'>as.factor</a></span>(<span class='no'>test_data_anova_2</span>$<span class='no'>variable</span>)
+<span class='no'>test_data_anova_2</span>$<span class='no'>time</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/base/factor.html'>as.factor</a></span>(<span class='no'>test_data_anova_2</span>$<span class='no'>time</span>)
+<span class='no'>anova_fit_2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='https://rdrr.io/r/stats/lm.html'>lm</a></span>(<span class='no'>observed</span> ~ <span class='no'>time</span>:<span class='no'>variable</span> - <span class='fl'>1</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>test_data_anova_2</span>)
+<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>anova_fit_2</span>)</div><div class='output co'>#&gt; 
+#&gt; Call:
+#&gt; lm(formula = observed ~ time:variable - 1, data = test_data_anova_2)
+#&gt; 
+#&gt; Residuals:
+#&gt;     Min      1Q  Median      3Q     Max 
+#&gt; -6.1000 -0.5875  0.0000  0.5875  6.1000 
+#&gt; 
+#&gt; Coefficients: (2 not defined because of singularities)
+#&gt;                        Estimate Std. Error t value Pr(&gt;|t|)    
+#&gt; time0:variableparent    103.150      1.573  65.562  &lt; 2e-16 ***
+#&gt; time1:variableparent     83.200      1.573  52.882  &lt; 2e-16 ***
+#&gt; time3:variableparent     52.350      1.573  33.274  &lt; 2e-16 ***
+#&gt; time7:variableparent     34.650      1.573  22.024  &lt; 2e-16 ***
+#&gt; time14:variableparent    23.400      1.573  14.873 6.35e-14 ***
+#&gt; time28:variableparent    17.150      1.573  10.901 5.47e-11 ***
+#&gt; time60:variableparent     8.250      1.573   5.244 1.99e-05 ***
+#&gt; time90:variableparent     4.650      1.573   2.956 0.006717 ** 
+#&gt; time120:variableparent    2.700      1.573   1.716 0.098507 .  
+#&gt; time0:variableM1             NA         NA      NA       NA    
+#&gt; time1:variableM1         11.850      1.573   7.532 6.93e-08 ***
+#&gt; time3:variableM1         22.700      1.573  14.428 1.26e-13 ***
+#&gt; time7:variableM1         33.050      1.573  21.007  &lt; 2e-16 ***
+#&gt; time14:variableM1        31.250      1.573  19.863  &lt; 2e-16 ***
+#&gt; time28:variableM1        18.900      1.573  12.013 7.02e-12 ***
+#&gt; time60:variableM1         7.550      1.573   4.799 6.28e-05 ***
+#&gt; time90:variableM1         3.850      1.573   2.447 0.021772 *  
+#&gt; time120:variableM1        2.050      1.573   1.303 0.204454    
+#&gt; time0:variableM2             NA         NA      NA       NA    
+#&gt; time1:variableM2          6.700      1.573   4.259 0.000254 ***
+#&gt; time3:variableM2         16.750      1.573  10.646 8.93e-11 ***
+#&gt; time7:variableM2         25.800      1.573  16.399 6.89e-15 ***
+#&gt; time14:variableM2        28.600      1.573  18.178 6.35e-16 ***
+#&gt; time28:variableM2        25.400      1.573  16.144 9.85e-15 ***
+#&gt; time60:variableM2        21.600      1.573  13.729 3.81e-13 ***
+#&gt; time90:variableM2        17.800      1.573  11.314 2.51e-11 ***
+#&gt; time120:variableM2       14.100      1.573   8.962 2.79e-09 ***
+#&gt; ---
+#&gt; Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
+#&gt; 
+#&gt; Residual standard error: 2.225 on 25 degrees of freedom
+#&gt; Multiple R-squared:  0.9979,	Adjusted R-squared:  0.9957 
+#&gt; F-statistic: 469.2 on 25 and 25 DF,  p-value: &lt; 2.2e-16
+#&gt; </div><div class='input'># }
+</div></pre>
+  </div>
+  <div class="col-md-3 hidden-xs hidden-sm" id="sidebar">
+    <h2>Contents</h2>
+    <ul class="nav nav-pills nav-stacked">
+      <li><a href="#arguments">Arguments</a></li>
+      <li><a href="#details">Details</a></li>
+      <li><a href="#see-also">See also</a></li>
+      <li><a href="#examples">Examples</a></li>
+    </ul>
+
+  </div>
+</div>
+
+
+      <footer>
+      <div class="copyright">
+  <p>Developed by Johannes Ranke.</p>
+</div>
+
+<div class="pkgdown">
+  <p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.4.1.</p>
+</div>
+
+      </footer>
+   </div>
+
+  
+
+
+  </body>
+</html>
+
+
diff --git a/docs/reference/lrtest.mkinfit.html b/docs/reference/lrtest.mkinfit.html
index 1d82eb74..70157db9 100644
--- a/docs/reference/lrtest.mkinfit.html
+++ b/docs/reference/lrtest.mkinfit.html
@@ -145,14 +145,18 @@ and can be expressed by fixing the parameters of the other.</p>
     </div>
 
     <pre class="usage"><span class='co'># S3 method for mkinfit</span>
-<span class='fu'><a href='https://rdrr.io/pkg/lmtest/man/lrtest.html'>lrtest</a></span>(<span class='no'>object</span>, <span class='kw'>object_2</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='no'>...</span>)</pre>
+<span class='fu'><a href='https://rdrr.io/pkg/lmtest/man/lrtest.html'>lrtest</a></span>(<span class='no'>object</span>, <span class='kw'>object_2</span> <span class='kw'>=</span> <span class='kw'>NULL</span>, <span class='no'>...</span>)
+
+<span class='co'># S3 method for mmkin</span>
+<span class='fu'><a href='https://rdrr.io/pkg/lmtest/man/lrtest.html'>lrtest</a></span>(<span class='no'>object</span>, <span class='no'>...</span>)</pre>
 
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
     <colgroup><col class="name" /><col class="desc" /></colgroup>
     <tr>
       <th>object</th>
-      <td><p>An <code><a href='mkinfit.html'>mkinfit</a></code> object</p></td>
+      <td><p>An <code><a href='mkinfit.html'>mkinfit</a></code> object, or an <code><a href='mmkin.html'>mmkin</a></code> column
+object containing two fits to the same data.</p></td>
     </tr>
     <tr>
       <th>object_2</th>
diff --git a/docs/reference/parms.html b/docs/reference/parms.html
index e3c52c53..2162fdc0 100644
--- a/docs/reference/parms.html
+++ b/docs/reference/parms.html
@@ -71,7 +71,7 @@ considering the error structure that was assumed for the fit." />
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.9</span>
       </span>
     </div>
 
diff --git a/docs/reference/plot.mmkin.html b/docs/reference/plot.mmkin.html
index 8b68cfae..18907aa2 100644
--- a/docs/reference/plot.mmkin.html
+++ b/docs/reference/plot.mmkin.html
@@ -73,7 +73,7 @@ the fit of at least one model to the same dataset is shown." />
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
       </span>
     </div>
 
@@ -147,7 +147,7 @@ the fit of at least one model to the same dataset is shown.</p>
 <span class='fu'><a href='https://rdrr.io/r/graphics/plot.html'>plot</a></span>(<span class='no'>x</span>, <span class='kw'>main</span> <span class='kw'>=</span> <span class='st'>"auto"</span>, <span class='kw'>legends</span> <span class='kw'>=</span> <span class='fl'>1</span>,
   <span class='kw'>resplot</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='st'>"time"</span>, <span class='st'>"errmod"</span>), <span class='kw'>show_errmin</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>,
   <span class='kw'>errmin_var</span> <span class='kw'>=</span> <span class='st'>"All data"</span>, <span class='kw'>errmin_digits</span> <span class='kw'>=</span> <span class='fl'>3</span>, <span class='kw'>cex</span> <span class='kw'>=</span> <span class='fl'>0.7</span>,
-  <span class='kw'>rel.height.middle</span> <span class='kw'>=</span> <span class='fl'>0.9</span>, <span class='no'>...</span>)</pre>
+  <span class='kw'>rel.height.middle</span> <span class='kw'>=</span> <span class='fl'>0.9</span>, <span class='kw'>ymax</span> <span class='kw'>=</span> <span class='st'>"auto"</span>, <span class='no'>...</span>)</pre>
 
     <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
     <table class="ref-arguments">
@@ -196,6 +196,10 @@ chi2 error percentage.</p></td>
 than two rows of plots are shown.</p></td>
     </tr>
     <tr>
+      <th>ymax</th>
+      <td><p>Maximum y axis value for <code><a href='plot.mkinfit.html'>plot.mkinfit</a></code>.</p></td>
+    </tr>
+    <tr>
       <th>...</th>
       <td><p>Further arguments passed to <code><a href='plot.mkinfit.html'>plot.mkinfit</a></code> and
 <code><a href='mkinresplot.html'>mkinresplot</a></code>.</p></td>
diff --git a/docs/reference/sigma_twocomp.html b/docs/reference/sigma_twocomp.html
index d95e1c28..1795e6c3 100644
--- a/docs/reference/sigma_twocomp.html
+++ b/docs/reference/sigma_twocomp.html
@@ -6,7 +6,7 @@
 <meta http-equiv="X-UA-Compatible" content="IE=edge">
 <meta name="viewport" content="width=device-width, initial-scale=1.0">
 
-<title>Two component error model — sigma_twocomp • mkin</title>
+<title>Two-component error model — sigma_twocomp • mkin</title>
 
 
 <!-- jquery -->
@@ -35,7 +35,7 @@
 
 
 
-<meta property="og:title" content="Two component error model — sigma_twocomp" />
+<meta property="og:title" content="Two-component error model — sigma_twocomp" />
 <meta property="og:description" content="Function describing the standard deviation of the measurement error in
 dependence of the measured value \(y\):" />
 <meta name="twitter:card" content="summary" />
@@ -70,7 +70,7 @@ dependence of the measured value \(y\):" />
       </button>
       <span class="navbar-brand">
         <a class="navbar-link" href="../index.html">mkin</a>
-        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.6</span>
+        <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span>
       </span>
     </div>
 
@@ -128,7 +128,7 @@ dependence of the measured value \(y\):" />
 <div class="row">
   <div class="col-md-9 contents">
     <div class="page-header">
-    <h1>Two component error model</h1>
+    <h1>Two-component error model</h1>
     
     <div class="hidden name"><code>sigma_twocomp.Rd</code></div>
     </div>
diff --git a/docs/sitemap.xml b/docs/sitemap.xml
index 3a56fe49..a8d6dfa4 100644
--- a/docs/sitemap.xml
+++ b/docs/sitemap.xml
@@ -55,6 +55,9 @@
     <loc>https://pkgdown.jrwb.de/mkin/reference/add_err.html</loc>
   </url>
   <url>
+    <loc>https://pkgdown.jrwb.de/mkin/reference/aw.html</loc>
+  </url>
+  <url>
     <loc>https://pkgdown.jrwb.de/mkin/reference/confint.mkinfit.html</loc>
   </url>
   <url>
@@ -67,6 +70,9 @@
     <loc>https://pkgdown.jrwb.de/mkin/reference/ilr.html</loc>
   </url>
   <url>
+    <loc>https://pkgdown.jrwb.de/mkin/reference/loftest.html</loc>
+  </url>
+  <url>
     <loc>https://pkgdown.jrwb.de/mkin/reference/logLik.mkinfit.html</loc>
   </url>
   <url>