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| author | Johannes Ranke <jranke@uni-bremen.de> | 2020-03-27 11:47:48 +0100 |
|---|---|---|
| committer | Johannes Ranke <jranke@uni-bremen.de> | 2020-03-27 11:47:48 +0100 |
| commit | 20ece4e0bcbeceb90a940e04a858f4ffb6d6b5e4 (patch) | |
| tree | 7595dbb6e129332a6ad0c273ecd3fbd92643e0d5 /docs/reference/loftest.html | |
| parent | 731dd9450f08868140f90af7a305133ec9342994 (diff) | |
| parent | 68eed166cbe10a5ee79f5b1139261dea98234b22 (diff) | |
Merge branch 'master' into mxkin
Diffstat (limited to 'docs/reference/loftest.html')
| -rw-r--r-- | docs/reference/loftest.html | 343 |
1 files changed, 343 insertions, 0 deletions
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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." /> +<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> +<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script> +<![endif]--> + + + + </head> + + <body> + <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">mkin</a> + <span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">0.9.49.8</span> + </span> + </div> + + <div id="navbar" class="navbar-collapse collapse"> + <ul class="nav navbar-nav"> + <li> + <a href="../reference/index.html">Functions and data</a> +</li> +<li class="dropdown"> + <a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" aria-expanded="false"> + Articles + + <span class="caret"></span> + </a> + <ul class="dropdown-menu" role="menu"> + <li> + <a href="../articles/mkin.html">Introduction to mkin</a> + </li> + <li> + <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> + <li> + <a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a> + </li> + </ul> +</li> +<li> + <a href="../news/index.html">News</a> +</li> + </ul> + <ul class="nav navbar-nav navbar-right"> + + </ul> + + </div><!--/.nav-collapse --> + </div><!--/.container --> +</div><!--/.navbar --> + + + + </header> + +<div class="row"> + <div class="col-md-9 contents"> + <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'><-</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'><-</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'>#> Likelihood ratio test +#> +#> Model 1: ANOVA with error model const +#> Model 2: SFO with error model const +#> #Df LogLik Df Chisq Pr(>Chisq) +#> 1 10 -40.710 +#> 2 3 -63.954 -7 46.487 7.027e-08 *** +#> --- +#> 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'><-</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'>#> Likelihood ratio test +#> +#> Model 1: ANOVA with error model const +#> Model 2: DFOP with error model const +#> #Df LogLik Df Chisq Pr(>Chisq) +#> 1 10 -40.710 +#> 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'><-</span> <span class='no'>test_data</span> +<span class='no'>test_data_anova</span>$<span class='no'>time</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/factor.html'>as.factor</a></span>(<span class='no'>test_data_anova</span>$<span class='no'>time</span>) +<span class='no'>anova_fit</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/stats/lm.html'>lm</a></span>(<span class='no'>value</span> ~ <span class='no'>time</span>, <span class='kw'>data</span> <span class='kw'>=</span> <span class='no'>test_data_anova</span>) +<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>anova_fit</span>)</div><div class='output co'>#> +#> Call: +#> lm(formula = value ~ time, data = test_data_anova) +#> +#> Residuals: +#> Min 1Q Median 3Q Max +#> -6.1000 -0.5625 0.0000 0.5625 6.1000 +#> +#> Coefficients: +#> Estimate Std. Error t value Pr(>|t|) +#> (Intercept) 103.150 2.323 44.409 7.44e-12 *** +#> time1 -19.950 3.285 -6.073 0.000185 *** +#> time3 -50.800 3.285 -15.465 8.65e-08 *** +#> time7 -68.500 3.285 -20.854 6.28e-09 *** +#> time14 -79.750 3.285 -24.278 1.63e-09 *** +#> time28 -86.000 3.285 -26.181 8.35e-10 *** +#> time60 -94.900 3.285 -28.891 3.48e-10 *** +#> time90 -98.500 3.285 -29.986 2.49e-10 *** +#> time120 -100.450 3.285 -30.580 2.09e-10 *** +#> --- +#> Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 +#> +#> Residual standard error: 3.285 on 9 degrees of freedom +#> Multiple R-squared: 0.9953, Adjusted R-squared: 0.9912 +#> F-statistic: 240.5 on 8 and 9 DF, p-value: 1.417e-09 +#> </div><div class='input'><span class='fu'><a href='https://rdrr.io/r/stats/logLik.html'>logLik</a></span>(<span class='no'>anova_fit</span>) <span class='co'># We get the same likelihood and degrees of freedom</span></div><div class='output co'>#> 'log Lik.' -40.71015 (df=10)</div><div class='input'><span class='co'>#</span> +<span class='no'>test_data_2</span> <span class='kw'><-</span> <span class='no'>synthetic_data_for_UBA_2014</span><span class='kw'>[[</span><span class='fl'>12</span>]]$<span class='no'>data</span> +<span class='no'>m_synth_SFO_lin</span> <span class='kw'><-</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'>#> <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'><-</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'>#> Likelihood ratio test +#> +#> Model 1: ANOVA with error model const +#> Model 2: m_synth_SFO_lin with error model const and fixed parameter(s) M1_0, M2_0 +#> #Df LogLik Df Chisq Pr(>Chisq) +#> 1 28 -93.606 +#> 2 7 -171.927 -21 156.64 < 2.2e-16 *** +#> --- +#> 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'><-</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'>#> <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'><-</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'>#> Likelihood ratio test +#> +#> Model 1: ANOVA with error model const +#> Model 2: m_synth_SFO_par with error model const and fixed parameter(s) M1_0, M2_0 +#> #Df LogLik Df Chisq Pr(>Chisq) +#> 1 28 -93.606 +#> 2 7 -156.331 -21 125.45 < 2.2e-16 *** +#> --- +#> 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'><-</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'>#> <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'><-</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'>#> Likelihood ratio test +#> +#> Model 1: ANOVA with error model const +#> Model 2: m_synth_DFOP_par with error model const and fixed parameter(s) M1_0, M2_0 +#> #Df LogLik Df Chisq Pr(>Chisq) +#> 1 28 -93.606 +#> 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'><-</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'><-</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'><-</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'><-</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'>#> +#> Call: +#> lm(formula = observed ~ time:variable - 1, data = test_data_anova_2) +#> +#> Residuals: +#> Min 1Q Median 3Q Max +#> -6.1000 -0.5875 0.0000 0.5875 6.1000 +#> +#> Coefficients: (2 not defined because of singularities) +#> Estimate Std. Error t value Pr(>|t|) +#> time0:variableparent 103.150 1.573 65.562 < 2e-16 *** +#> time1:variableparent 83.200 1.573 52.882 < 2e-16 *** +#> time3:variableparent 52.350 1.573 33.274 < 2e-16 *** +#> time7:variableparent 34.650 1.573 22.024 < 2e-16 *** +#> time14:variableparent 23.400 1.573 14.873 6.35e-14 *** +#> time28:variableparent 17.150 1.573 10.901 5.47e-11 *** +#> time60:variableparent 8.250 1.573 5.244 1.99e-05 *** +#> time90:variableparent 4.650 1.573 2.956 0.006717 ** +#> time120:variableparent 2.700 1.573 1.716 0.098507 . +#> time0:variableM1 NA NA NA NA +#> time1:variableM1 11.850 1.573 7.532 6.93e-08 *** +#> time3:variableM1 22.700 1.573 14.428 1.26e-13 *** +#> time7:variableM1 33.050 1.573 21.007 < 2e-16 *** +#> time14:variableM1 31.250 1.573 19.863 < 2e-16 *** +#> time28:variableM1 18.900 1.573 12.013 7.02e-12 *** +#> time60:variableM1 7.550 1.573 4.799 6.28e-05 *** +#> time90:variableM1 3.850 1.573 2.447 0.021772 * +#> time120:variableM1 2.050 1.573 1.303 0.204454 +#> time0:variableM2 NA NA NA NA +#> time1:variableM2 6.700 1.573 4.259 0.000254 *** +#> time3:variableM2 16.750 1.573 10.646 8.93e-11 *** +#> time7:variableM2 25.800 1.573 16.399 6.89e-15 *** +#> time14:variableM2 28.600 1.573 18.178 6.35e-16 *** +#> time28:variableM2 25.400 1.573 16.144 9.85e-15 *** +#> time60:variableM2 21.600 1.573 13.729 3.81e-13 *** +#> time90:variableM2 17.800 1.573 11.314 2.51e-11 *** +#> time120:variableM2 14.100 1.573 8.962 2.79e-09 *** +#> --- +#> Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 +#> +#> Residual standard error: 2.225 on 25 degrees of freedom +#> Multiple R-squared: 0.9979, Adjusted R-squared: 0.9957 +#> F-statistic: 469.2 on 25 and 25 DF, p-value: < 2.2e-16 +#> </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> + + |