1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
|
<!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>Calculate the AIC for a column of an mmkin object — AIC.mmkin • mkin</title><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Calculate the AIC for a column of an mmkin object — AIC.mmkin"><meta property="og:description" content="Provides a convenient way to compare different kinetic models fitted to the
same dataset."><!-- 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">mkin</a>
<span class="version label label-default" data-toggle="tooltip" data-placement="bottom" title="Released version">1.1.0</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" data-bs-toggle="dropdown" 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/dimethenamid_2018.html">Example evaluations of dimethenamid data from 2018 with nonlinear mixed-effects models</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>
<li>
<a href="../articles/web_only/benchmarks.html">Some benchmark timings</a>
</li>
</ul></li>
<li>
<a href="../news/index.html">News</a>
</li>
</ul><ul class="nav navbar-nav navbar-right"><li>
<a href="https://github.com/jranke/mkin/" class="external-link">
<span class="fab fa-github fa-lg"></span>
</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>Calculate the AIC for a column of an mmkin object</h1>
<small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/AIC.mmkin.R" class="external-link"><code>R/AIC.mmkin.R</code></a></small>
<div class="hidden name"><code>AIC.mmkin.Rd</code></div>
</div>
<div class="ref-description">
<p>Provides a convenient way to compare different kinetic models fitted to the
same dataset.</p>
</div>
<div id="ref-usage">
<div class="sourceCode"><pre class="sourceCode r"><code><span class="co"># S3 method for mmkin</span>
<span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">object</span>, <span class="va">...</span>, k <span class="op">=</span> <span class="fl">2</span><span class="op">)</span>
<span class="co"># S3 method for mmkin</span>
<span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">BIC</a></span><span class="op">(</span><span class="va">object</span>, <span class="va">...</span><span class="op">)</span></code></pre></div>
</div>
<div id="arguments">
<h2>Arguments</h2>
<dl><dt>object</dt>
<dd><p>An object of class <code><a href="mmkin.html">mmkin</a></code>, containing only one
column.</p></dd>
<dt>...</dt>
<dd><p>For compatibility with the generic method</p></dd>
<dt>k</dt>
<dd><p>As in the generic method</p></dd>
</dl></div>
<div id="value">
<h2>Value</h2>
<p>As in the generic method (a numeric value for single fits, or a
dataframe if there are several fits in the column).</p>
</div>
<div id="author">
<h2>Author</h2>
<p>Johannes Ranke</p>
</div>
<div id="ref-examples">
<h2>Examples</h2>
<div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"></span>
<span class="r-in"> <span class="co"># skip, as it takes > 10 s on winbuilder</span></span>
<span class="r-in"> <span class="va">f</span> <span class="op"><-</span> <span class="fu"><a href="mmkin.html">mmkin</a></span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span><span class="op">)</span>,</span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span><span class="st">"FOCUS A"</span> <span class="op">=</span> <span class="va">FOCUS_2006_A</span>,</span>
<span class="r-in"> <span class="st">"FOCUS C"</span> <span class="op">=</span> <span class="va">FOCUS_2006_C</span><span class="op">)</span>, cores <span class="op">=</span> <span class="fl">1</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span>
<span class="r-wrn co"><span class="r-pr">#></span> <span class="warning">Warning: </span>Optimisation did not converge:</span>
<span class="r-wrn co"><span class="r-pr">#></span> false convergence (8)</span>
<span class="r-in"> <span class="co"># We get a warning because the FOMC model does not converge for the</span></span>
<span class="r-in"> <span class="co"># FOCUS A dataset, as it is well described by SFO</span></span>
<span class="r-in"></span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span><span class="st">"SFO"</span>, <span class="st">"FOCUS A"</span><span class="op">]</span><span class="op">)</span> <span class="co"># We get a single number for a single fit</span></span>
<span class="r-out co"><span class="r-pr">#></span> [1] 55.28197</span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[[</span><span class="st">"SFO"</span>, <span class="st">"FOCUS A"</span><span class="op">]</span><span class="op">]</span><span class="op">)</span> <span class="co"># or when extracting an mkinfit object</span></span>
<span class="r-out co"><span class="r-pr">#></span> [1] 55.28197</span>
<span class="r-in"></span>
<span class="r-in"> <span class="co"># For FOCUS A, the models fit almost equally well, so the higher the number</span></span>
<span class="r-in"> <span class="co"># of parameters, the higher (worse) the AIC</span></span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span>, <span class="st">"FOCUS A"</span><span class="op">]</span><span class="op">)</span></span>
<span class="r-out co"><span class="r-pr">#></span> df AIC</span>
<span class="r-out co"><span class="r-pr">#></span> SFO 3 55.28197</span>
<span class="r-out co"><span class="r-pr">#></span> FOMC 4 57.28198</span>
<span class="r-out co"><span class="r-pr">#></span> DFOP 5 59.28197</span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span>, <span class="st">"FOCUS A"</span><span class="op">]</span>, k <span class="op">=</span> <span class="fl">0</span><span class="op">)</span> <span class="co"># If we do not penalize additional parameters, we get nearly the same</span></span>
<span class="r-out co"><span class="r-pr">#></span> df AIC</span>
<span class="r-out co"><span class="r-pr">#></span> SFO 3 49.28197</span>
<span class="r-out co"><span class="r-pr">#></span> FOMC 4 49.28198</span>
<span class="r-out co"><span class="r-pr">#></span> DFOP 5 49.28197</span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">BIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span>, <span class="st">"FOCUS A"</span><span class="op">]</span><span class="op">)</span> <span class="co"># Comparing the BIC gives a very similar picture</span></span>
<span class="r-out co"><span class="r-pr">#></span> df BIC</span>
<span class="r-out co"><span class="r-pr">#></span> SFO 3 55.52030</span>
<span class="r-out co"><span class="r-pr">#></span> FOMC 4 57.59975</span>
<span class="r-out co"><span class="r-pr">#></span> DFOP 5 59.67918</span>
<span class="r-in"></span>
<span class="r-in"> <span class="co"># For FOCUS C, the more complex models fit better</span></span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">AIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span>, <span class="st">"FOCUS C"</span><span class="op">]</span><span class="op">)</span></span>
<span class="r-out co"><span class="r-pr">#></span> df AIC</span>
<span class="r-out co"><span class="r-pr">#></span> SFO 3 59.29336</span>
<span class="r-out co"><span class="r-pr">#></span> FOMC 4 44.68652</span>
<span class="r-out co"><span class="r-pr">#></span> DFOP 5 29.02372</span>
<span class="r-in"> <span class="fu"><a href="https://rdrr.io/r/stats/AIC.html" class="external-link">BIC</a></span><span class="op">(</span><span class="va">f</span><span class="op">[</span>, <span class="st">"FOCUS C"</span><span class="op">]</span><span class="op">)</span></span>
<span class="r-out co"><span class="r-pr">#></span> df BIC</span>
<span class="r-out co"><span class="r-pr">#></span> SFO 3 59.88504</span>
<span class="r-out co"><span class="r-pr">#></span> FOMC 4 45.47542</span>
<span class="r-out co"><span class="r-pr">#></span> DFOP 5 30.00984</span>
<span class="r-in"> </span>
<span class="r-in"></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 Johannes Ranke.</p>
</div>
<div class="pkgdown">
<p></p><p>Site built with <a href="https://pkgdown.r-lib.org/" class="external-link">pkgdown</a> 2.0.3.</p>
</div>
</footer></div>
</body></html>
|
