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<!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>Summary method for class "nlme.mmkin" — summary.nlme.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="Summary method for class " nlme.mmkin summary.nlme.mmkin><meta property="og:description" content="Lists model equations, initial parameter values, optimised parameters
for fixed effects (population), random effects (deviations from the
population mean) and residual error model, as well as the resulting
endpoints such as formation fractions and DT50 values. Optionally
(default is FALSE), the data are listed in full."><meta name="robots" content="noindex"><!-- 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]>
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    <div class="page-header">
    <h1>Summary method for class "nlme.mmkin"</h1>
    <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/summary.nlme.mmkin.R" class="external-link"><code>R/summary.nlme.mmkin.R</code></a></small>
    <div class="hidden name"><code>summary.nlme.mmkin.Rd</code></div>
    </div>

    <div class="ref-description">
    <p>Lists model equations, initial parameter values, optimised parameters
for fixed effects (population), random effects (deviations from the
population mean) and residual error model, as well as the resulting
endpoints such as formation fractions and DT50 values. Optionally
(default is FALSE), the data are listed in full.</p>
    </div>

    <div id="ref-usage">
    <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="co"># S3 method for nlme.mmkin</span></span>
<span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span></span>
<span>  <span class="va">object</span>,</span>
<span>  data <span class="op">=</span> <span class="cn">FALSE</span>,</span>
<span>  verbose <span class="op">=</span> <span class="cn">FALSE</span>,</span>
<span>  distimes <span class="op">=</span> <span class="cn">TRUE</span>,</span>
<span>  alpha <span class="op">=</span> <span class="fl">0.05</span>,</span>
<span>  <span class="va">...</span></span>
<span><span class="op">)</span></span>
<span></span>
<span><span class="co"># S3 method for summary.nlme.mmkin</span></span>
<span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">x</span>, digits <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/Extremes.html" class="external-link">max</a></span><span class="op">(</span><span class="fl">3</span>, <span class="fu"><a href="https://rdrr.io/r/base/options.html" class="external-link">getOption</a></span><span class="op">(</span><span class="st">"digits"</span><span class="op">)</span> <span class="op">-</span> <span class="fl">3</span><span class="op">)</span>, verbose <span class="op">=</span> <span class="va">x</span><span class="op">$</span><span class="va">verbose</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div>
    </div>

    <div id="arguments">
    <h2>Arguments</h2>
    <dl><dt>object</dt>
<dd><p>an object of class <a href="nlme.mmkin.html">nlme.mmkin</a></p></dd>


<dt>data</dt>
<dd><p>logical, indicating whether the full data should be included in
the summary.</p></dd>


<dt>verbose</dt>
<dd><p>Should the summary be verbose?</p></dd>


<dt>distimes</dt>
<dd><p>logical, indicating whether DT50 and DT90 values should be
included.</p></dd>


<dt>alpha</dt>
<dd><p>error level for confidence interval estimation from the t
distribution</p></dd>


<dt>...</dt>
<dd><p>optional arguments passed to methods like <code>print</code>.</p></dd>


<dt>x</dt>
<dd><p>an object of class summary.nlme.mmkin</p></dd>


<dt>digits</dt>
<dd><p>Number of digits to use for printing</p></dd>

</dl></div>
    <div id="value">
    <h2>Value</h2>
    

<p>The summary function returns a list based on the <a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a> object
obtained in the fit, with at least the following additional components</p>
<dl><dt>nlmeversion, mkinversion, Rversion</dt>
<dd><p>The nlme, mkin and R versions used</p></dd>

<dt>date.fit, date.summary</dt>
<dd><p>The dates where the fit and the summary were
produced</p></dd>

<dt>diffs</dt>
<dd><p>The differential equations used in the degradation model</p></dd>

<dt>use_of_ff</dt>
<dd><p>Was maximum or minimum use made of formation fractions</p></dd>

<dt>data</dt>
<dd><p>The data</p></dd>

<dt>confint_trans</dt>
<dd><p>Transformed parameters as used in the optimisation, with confidence intervals</p></dd>

<dt>confint_back</dt>
<dd><p>Backtransformed parameters, with confidence intervals if available</p></dd>

<dt>ff</dt>
<dd><p>The estimated formation fractions derived from the fitted
model.</p></dd>

<dt>distimes</dt>
<dd><p>The DT50 and DT90 values for each observed variable.</p></dd>

<dt>SFORB</dt>
<dd><p>If applicable, eigenvalues of SFORB components of the model.</p></dd>

</dl><p>The print method is called for its side effect, i.e. printing the summary.</p>
    </div>
    <div id="author">
    <h2>Author</h2>
    <p>Johannes Ranke for the mkin specific parts
José Pinheiro and Douglas Bates for the components inherited from nlme</p>
    </div>

    <div id="ref-examples">
    <h2>Examples</h2>
    <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span></span></span>
<span class="r-in"><span><span class="co"># Generate five datasets following SFO kinetics</span></span></span>
<span class="r-in"><span><span class="va">sampling_times</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="fl">0</span>, <span class="fl">1</span>, <span class="fl">3</span>, <span class="fl">7</span>, <span class="fl">14</span>, <span class="fl">28</span>, <span class="fl">60</span>, <span class="fl">90</span>, <span class="fl">120</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">dt50_sfo_in_pop</span> <span class="op">&lt;-</span> <span class="fl">50</span></span></span>
<span class="r-in"><span><span class="va">k_in_pop</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">log</a></span><span class="op">(</span><span class="fl">2</span><span class="op">)</span> <span class="op">/</span> <span class="va">dt50_sfo_in_pop</span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">1234</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">k_in</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/stats/Lognormal.html" class="external-link">rlnorm</a></span><span class="op">(</span><span class="fl">5</span>, <span class="fu"><a href="https://rdrr.io/r/base/Log.html" class="external-link">log</a></span><span class="op">(</span><span class="va">k_in_pop</span><span class="op">)</span>, <span class="fl">0.5</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">SFO</span> <span class="op">&lt;-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="va">pred_sfo</span> <span class="op">&lt;-</span> <span class="kw">function</span><span class="op">(</span><span class="va">k</span><span class="op">)</span> <span class="op">{</span></span></span>
<span class="r-in"><span>  <span class="fu"><a href="mkinpredict.html">mkinpredict</a></span><span class="op">(</span><span class="va">SFO</span>,</span></span>
<span class="r-in"><span>    <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>k_parent <span class="op">=</span> <span class="va">k</span><span class="op">)</span>,</span></span>
<span class="r-in"><span>    <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fl">100</span><span class="op">)</span>,</span></span>
<span class="r-in"><span>    <span class="va">sampling_times</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="op">}</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="va">ds_sfo_mean</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">k_in</span>, <span class="va">pred_sfo</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/names.html" class="external-link">names</a></span><span class="op">(</span><span class="va">ds_sfo_mean</span><span class="op">)</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="st">"ds"</span>, <span class="fl">1</span><span class="op">:</span><span class="fl">5</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">12345</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">ds_sfo_syn</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">ds_sfo_mean</span>, <span class="kw">function</span><span class="op">(</span><span class="va">ds</span><span class="op">)</span> <span class="op">{</span></span></span>
<span class="r-in"><span>  <span class="fu"><a href="add_err.html">add_err</a></span><span class="op">(</span><span class="va">ds</span>,</span></span>
<span class="r-in"><span>    sdfunc <span class="op">=</span> <span class="kw">function</span><span class="op">(</span><span class="va">value</span><span class="op">)</span> <span class="fu"><a href="https://rdrr.io/r/base/MathFun.html" class="external-link">sqrt</a></span><span class="op">(</span><span class="fl">1</span><span class="op">^</span><span class="fl">2</span> <span class="op">+</span> <span class="va">value</span><span class="op">^</span><span class="fl">2</span> <span class="op">*</span> <span class="fl">0.07</span><span class="op">^</span><span class="fl">2</span><span class="op">)</span>,</span></span>
<span class="r-in"><span>    n <span class="op">=</span> <span class="fl">1</span><span class="op">)</span><span class="op">[[</span><span class="fl">1</span><span class="op">]</span><span class="op">]</span></span></span>
<span class="r-in"><span><span class="op">}</span><span class="op">)</span></span></span>
<span class="r-in"><span></span></span>
<span class="r-in"><span><span class="co"># \dontrun{</span></span></span>
<span class="r-in"><span><span class="co"># Evaluate using mmkin and nlme</span></span></span>
<span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://svn.r-project.org/R-packages/trunk/nlme/" class="external-link">nlme</a></span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="va">f_mmkin</span> <span class="op">&lt;-</span> <span class="fu"><a href="mmkin.html">mmkin</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="va">ds_sfo_syn</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span>, error_model <span class="op">=</span> <span class="st">"tc"</span>, cores <span class="op">=</span> <span class="fl">1</span><span class="op">)</span></span></span>
<span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>Optimisation did not converge:</span>
<span class="r-wrn co"><span class="r-pr">#&gt;</span> iteration limit reached without convergence (10)</span>
<span class="r-in"><span><span class="va">f_nlme</span> <span class="op">&lt;-</span> <span class="fu"><a href="https://rdrr.io/pkg/nlme/man/nlme.html" class="external-link">nlme</a></span><span class="op">(</span><span class="va">f_mmkin</span><span class="op">)</span></span></span>
<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/pkg/saemix/man/summary-methods.html" class="external-link">summary</a></span><span class="op">(</span><span class="va">f_nlme</span>, data <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span>
<span class="r-out co"><span class="r-pr">#&gt;</span> nlme version used for fitting:      3.1.162 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> mkin version used for pre-fitting:  1.2.5 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> R version used for fitting:         4.3.0 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Date of fit:     Fri May 19 17:33:40 2023 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Date of summary: Fri May 19 17:33:40 2023 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Equations:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> d_parent/dt = - k_parent * parent</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Data:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> 90 observations of 1 variable(s) grouped in 5 datasets</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Model predictions using solution type analytical </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Fitted in 0.19 s using 4 iterations</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Variance model: Two-component variance function </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Mean of starting values for individual parameters:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>     parent_0 log_k_parent </span>
<span class="r-out co"><span class="r-pr">#&gt;</span>      101.569       -4.454 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Fixed degradation parameter values:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> None</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Results:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span>     AIC   BIC logLik</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>   584.5 599.5 -286.2</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Optimised, transformed parameters with symmetric confidence intervals:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>               lower    est.   upper</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0     99.371 101.592 103.814</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> log_k_parent -4.973  -4.449  -3.926</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Correlation: </span>
<span class="r-out co"><span class="r-pr">#&gt;</span>              parnt_0</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> log_k_parent 0.0507 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Random effects:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  Formula: list(parent_0 ~ 1, log_k_parent ~ 1)</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  Level: ds</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  Structure: Diagonal</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>         parent_0 log_k_parent Residual</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> StdDev: 6.92e-05       0.5863        1</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Variance function:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  Structure: Constant plus proportion of variance covariate</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  Formula: ~fitted(.) </span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  Parameter estimates:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>        const         prop </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> 0.0001208154 0.0789968021 </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Backtransformed parameters with asymmetric confidence intervals:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>              lower      est.     upper</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> parent_0 99.370882 101.59243 103.81398</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> k_parent  0.006923   0.01168   0.01972</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Estimated disappearance times:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>         DT50  DT90</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> parent 59.32 197.1</span>
<span class="r-out co"><span class="r-pr">#&gt;</span> </span>
<span class="r-out co"><span class="r-pr">#&gt;</span> Data:</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>    ds   name time observed predicted  residual    std standardized</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    0    104.1   101.592   2.50757 8.0255     0.312451</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    0    105.0   101.592   3.40757 8.0255     0.424594</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    1     98.5   100.796  -2.29571 7.9625    -0.288313</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    1     96.1   100.796  -4.69571 7.9625    -0.589725</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    3    101.9    99.221   2.67904 7.8381     0.341796</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    3     85.2    99.221 -14.02096 7.8381    -1.788812</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    7     99.1    96.145   2.95512 7.5951     0.389081</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent    7     93.0    96.145  -3.14488 7.5951    -0.414065</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   14     88.1    90.989  -2.88944 7.1879    -0.401987</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   14     84.1    90.989  -6.88944 7.1879    -0.958480</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   28     80.2    81.493  -1.29305 6.4377    -0.200857</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   28     91.3    81.493   9.80695 6.4377     1.523364</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   60     65.1    63.344   1.75642 5.0039     0.351008</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   60     65.8    63.344   2.45642 5.0039     0.490898</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   90     47.8    50.018  -2.21764 3.9512    -0.561252</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent   90     53.5    50.018   3.48236 3.9512     0.881335</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent  120     37.6    39.495  -1.89515 3.1200    -0.607423</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 1 parent  120     39.3    39.495  -0.19515 3.1200    -0.062549</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    0    107.9   101.592   6.30757 8.0255     0.785943</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    0    102.1   101.592   0.50757 8.0255     0.063245</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    1    103.8   100.058   3.74159 7.9043     0.473361</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    1    108.6   100.058   8.54159 7.9043     1.080626</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    3     91.0    97.060  -6.05952 7.6674    -0.790297</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    3     84.9    97.060 -12.15952 7.6674    -1.585874</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    7     79.3    91.329 -12.02867 7.2147    -1.667251</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent    7    100.9    91.329   9.57133 7.2147     1.326647</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   14     77.3    82.102  -4.80185 6.4858    -0.740366</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   14     83.5    82.102   1.39815 6.4858     0.215571</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   28     66.8    66.351   0.44945 5.2415     0.085748</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   28     63.3    66.351  -3.05055 5.2415    -0.582002</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   60     40.8    40.775   0.02474 3.2211     0.007679</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   60     44.8    40.775   4.02474 3.2211     1.249485</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   90     27.8    25.832   1.96762 2.0407     0.964198</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent   90     27.0    25.832   1.16762 2.0407     0.572171</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent  120     15.2    16.366  -1.16561 1.2928    -0.901595</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 2 parent  120     15.5    16.366  -0.86561 1.2928    -0.669547</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    0     97.7   101.592  -3.89243 8.0255    -0.485009</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    0     88.2   101.592 -13.39243 8.0255    -1.668739</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    1    109.9    99.218  10.68196 7.8379     1.362858</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    1     97.8    99.218  -1.41804 7.8379    -0.180921</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    3    100.5    94.634   5.86555 7.4758     0.784603</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    3     77.4    94.634 -17.23445 7.4758    -2.305360</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    7     78.3    86.093  -7.79273 6.8011    -1.145813</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent    7     90.3    86.093   4.20727 6.8011     0.618620</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   14     76.0    72.958   3.04222 5.7634     0.527848</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   14     79.1    72.958   6.14222 5.7634     1.065722</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   28     46.0    52.394  -6.39404 4.1390    -1.544842</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   28     53.4    52.394   1.00596 4.1390     0.243046</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   60     25.1    24.582   0.51786 1.9419     0.266676</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   60     21.4    24.582  -3.18214 1.9419    -1.638664</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   90     11.0    12.092  -1.09202 0.9552    -1.143199</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent   90     14.2    12.092   2.10798 0.9552     2.206776</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent  120      5.8     5.948  -0.14810 0.4699    -0.315178</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 3 parent  120      6.1     5.948   0.15190 0.4699     0.323282</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    0     95.3   101.592  -6.29243 8.0255    -0.784057</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    0    102.0   101.592   0.40757 8.0255     0.050784</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    1    104.4   101.125   3.27549 7.9885     0.410025</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    1    105.4   101.125   4.27549 7.9885     0.535205</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    3    113.7   100.195  13.50487 7.9151     1.706218</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    3     82.3   100.195 -17.89513 7.9151    -2.260886</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    7     98.1    98.362  -0.26190 7.7703    -0.033706</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent    7     87.8    98.362 -10.56190 7.7703    -1.359270</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   14     97.9    95.234   2.66590 7.5232     0.354357</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   14    104.8    95.234   9.56590 7.5232     1.271521</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   28     85.0    89.274  -4.27372 7.0523    -0.606001</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   28     77.2    89.274 -12.07372 7.0523    -1.712017</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   60     82.2    77.013   5.18660 6.0838     0.852526</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   60     86.1    77.013   9.08660 6.0838     1.493571</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   90     70.5    67.053   3.44692 5.2970     0.650733</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent   90     61.7    67.053  -5.35308 5.2970    -1.010591</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent  120     60.0    58.381   1.61905 4.6119     0.351058</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 4 parent  120     56.4    58.381  -1.98095 4.6119    -0.429530</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    0     92.6   101.592  -8.99243 8.0255    -1.120485</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    0    116.5   101.592  14.90757 8.0255     1.857531</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    1    108.0    99.914   8.08560 7.8929     1.024413</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    1    104.9    99.914   4.98560 7.8929     0.631655</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    3    100.5    96.641   3.85898 7.6343     0.505477</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    3     89.5    96.641  -7.14102 7.6343    -0.935383</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    7     91.7    90.412   1.28752 7.1423     0.180267</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent    7     95.1    90.412   4.68752 7.1423     0.656304</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   14     82.2    80.463   1.73715 6.3563     0.273295</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   14     84.5    80.463   4.03715 6.3563     0.635141</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   28     60.5    63.728  -3.22788 5.0343    -0.641178</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   28     72.8    63.728   9.07212 5.0343     1.802062</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   60     38.3    37.399   0.90061 2.9544     0.304835</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   60     40.7    37.399   3.30061 2.9544     1.117174</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   90     22.5    22.692  -0.19165 1.7926    -0.106913</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent   90     20.8    22.692  -1.89165 1.7926    -1.055273</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent  120     13.4    13.768  -0.36790 1.0876    -0.338259</span>
<span class="r-out co"><span class="r-pr">#&gt;</span>  ds 5 parent  120     13.8    13.768   0.03210 1.0876     0.029517</span>
<span class="r-in"><span><span class="co"># }</span></span></span>
<span class="r-in"><span></span></span>
</code></pre></div>
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