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<h1>Person Assessment function</h1>
<small class="dont-index">Source: <a href='https://github.com/jansteinfeld/PP/blob/master/R/PPass.R'><code>R/PPass.R</code></a></small>
<div class="hidden name"><code>PPass.Rd</code></div>
</div>
<div class="ref-description">
<p>Estimate Person Paramters and calculate Person Fit in one step to gain resonse pattern assessment. Submit a data.frame which contains item responses, or an fitted model (Rasch Model and Partial Credit Model are supported) of the <code>eRm</code> package.</p>
</div>
<pre class="usage"><span class='fu'>PPass</span><span class='op'>(</span><span class='va'>...</span><span class='op'>)</span>
<span class='co'># S3 method for default</span>
<span class='fu'>PPass</span><span class='op'>(</span>
<span class='va'>respdf</span>,
items <span class='op'>=</span> <span class='st'>"all"</span>,
mod <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='st'>"1PL"</span>, <span class='st'>"2PL"</span>, <span class='st'>"3PL"</span>, <span class='st'>"4PL"</span>, <span class='st'>"PCM"</span>, <span class='st'>"GPCM"</span>, <span class='st'>"MIXED"</span><span class='op'>)</span>,
fitindices <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='st'>"lz"</span>, <span class='st'>"lzstar"</span>, <span class='st'>"infit"</span>, <span class='st'>"outfit"</span><span class='op'>)</span>,
<span class='va'>...</span>
<span class='op'>)</span>
<span class='co'># S3 method for Rm</span>
<span class='fu'>PPass</span><span class='op'>(</span><span class='va'>RMobj</span>, fitindices <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='st'>"lz"</span>, <span class='st'>"lzstar"</span>, <span class='st'>"infit"</span>, <span class='st'>"outfit"</span><span class='op'>)</span>, <span class='va'>...</span><span class='op'>)</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>respdf</th>
<td><p>A data.frame which contains the items, and perhaps other informations. Each row is a person related resonse patter. Each column denotes a variable.</p></td>
</tr>
<tr>
<th>items</th>
<td><p>A numeric (integer) vector which indicates the positions of the items in the data.frame (<code>respdf</code>). If <code>items</code> = 'all', <b>all columns</b> are treated as items.</p></td>
</tr>
<tr>
<th>mod</th>
<td><p>Choose your data generating model. This argument switches between the three person parameter estimating functions <code>PP_4pl</code>, <code>PP_gpcm</code> and <code>PPall</code>.</p></td>
</tr>
<tr>
<th>fitindices</th>
<td><p>A character vector which denotes the fit indices to compute.</p></td>
</tr>
<tr>
<th>RMobj</th>
<td><p>A fitted Rasch Model (<code>RM()</code>) object which stems from the <code>eRm</code> package.</p></td>
</tr>
<tr>
<th>...</th>
<td><p>Submit arguments to the underlying functions: <code>PP_4pl</code>, <code>PP_gpcm</code> and <code>PPall</code> (see documentation files) for person parameter estimation.</p></td>
</tr>
</table>
<h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
<p>The original data.frame and</p>
<ul>
<li><p>The Person Parameter estimates incl. Standard Errors (2 columns)</p></li>
<li><p>Person Fit Indices you chose (1 or more)</p></li>
</ul>
<h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2>
<p>PPass fuses Person Parameter estimation and Person Fit computation into a single function.</p>
<h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
<div class='dont-index'><p><a href='PP_4pl.html'>PP_4pl</a>, <a href='PP_gpcm.html'>PP_gpcm</a>, <a href='PPall.html'>PPall</a>, <a href='Pfit.html'>Pfit</a></p></div>
<h2 class="hasAnchor" id="author"><a class="anchor" href="#author"></a>Author</h2>
<p>Manuel Reif, Jan Steinfeld</p>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'>
<span class='kw'><a href='https://rdrr.io/r/base/library.html'>library</a></span><span class='op'>(</span><span class='va'>eRm</span><span class='op'>)</span>
<span class='co'>### real data ##########</span>
<span class='fu'><a href='https://rdrr.io/r/utils/data.html'>data</a></span><span class='op'>(</span><span class='va'>pp_amt</span><span class='op'>)</span>
<span class='va'>d</span> <span class='op'><-</span> <span class='va'>pp_amt</span><span class='op'>$</span><span class='va'>daten_amt</span>
<span class='va'>rd_res</span> <span class='op'><-</span> <span class='fu'>PPass</span><span class='op'>(</span>respdf <span class='op'>=</span> <span class='va'>d</span>,
items <span class='op'>=</span> <span class='fl'>8</span><span class='op'>:</span><span class='fu'><a href='https://rdrr.io/r/base/nrow.html'>ncol</a></span><span class='op'>(</span><span class='va'>d</span><span class='op'>)</span>,
mod<span class='op'>=</span><span class='st'>"1PL"</span>,
thres <span class='op'>=</span> <span class='va'>pp_amt</span><span class='op'>$</span><span class='va'>betas</span><span class='op'>[</span>,<span class='fl'>2</span><span class='op'>]</span>,
fitindices <span class='op'>=</span> <span class='st'>"lz"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 1pl model ...
#> type = wle
#> Estimation finished!</div><div class='input'>
<span class='fu'><a href='https://rdrr.io/r/utils/head.html'>head</a></span><span class='op'>(</span><span class='va'>rd_res</span><span class='op'>)</span>
</div><div class='output co'>#> estimate SE lz lz_unst
#> 1 1.4098572 0.4177670 -0.631024 -0.613445
#> 2 0.3515596 0.3728684 1.229632 -0.627897
#> 3 1.0745004 0.3741313 1.097723 -0.627596
#> 4 0.3204585 0.6900186 0.981576 -0.494311
#> 5 1.3879159 0.4643975 -0.203399 -0.600039
#> 6 0.9457363 0.4184999 0.573956 -0.615722</div><div class='input'>
<span class='co'>## ========== RM - eRm </span>
<span class='va'>my_data</span> <span class='op'><-</span> <span class='fu'>eRm</span><span class='fu'>::</span><span class='fu'><a href='https://rdrr.io/pkg/eRm/man/sim.rasch.html'>sim.rasch</a></span><span class='op'>(</span><span class='fl'>200</span>, <span class='fl'>12</span><span class='op'>)</span>
<span class='va'>my_rm</span> <span class='op'><-</span> <span class='fu'>eRm</span><span class='fu'>::</span><span class='fu'><a href='https://rdrr.io/pkg/eRm/man/RM.html'>RM</a></span><span class='op'>(</span><span class='va'>my_data</span><span class='op'>)</span>
<span class='va'>res_pp1</span> <span class='op'><-</span> <span class='fu'>PPass</span><span class='op'>(</span><span class='va'>my_rm</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 1pl model ...
#> type = wle
#> Estimation finished!</div><div class='input'>
<span class='co'>## ========== PCM - eRm</span>
<span class='fu'><a href='https://rdrr.io/r/base/Random.html'>set.seed</a></span><span class='op'>(</span><span class='fl'>2751</span><span class='op'>)</span>
<span class='va'>THRES</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/matrix.html'>matrix</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='op'>-</span><span class='fl'>2</span>,<span class='op'>-</span><span class='fl'>1.23</span>,<span class='fl'>1.11</span>,<span class='fl'>3.48</span>,<span class='fl'>1</span>
,<span class='fl'>2</span>,<span class='op'>-</span><span class='fl'>1</span>,<span class='op'>-</span><span class='fl'>0.2</span>,<span class='fl'>0.5</span>,<span class='fl'>1.3</span>,<span class='op'>-</span><span class='fl'>0.8</span>,<span class='fl'>1.5</span><span class='op'>)</span>,nrow<span class='op'>=</span><span class='fl'>2</span><span class='op'>)</span>
<span class='va'>THRES</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/cbind.html'>rbind</a></span><span class='op'>(</span><span class='va'>THRES</span>,<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='op'>-</span><span class='fl'>0.2</span>,<span class='cn'>NA</span>,<span class='cn'>NA</span>,<span class='cn'>NA</span>,<span class='cn'>NA</span>,<span class='cn'>NA</span><span class='op'>)</span><span class='op'>)</span>
<span class='va'>sl</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/rep.html'>rep</a></span><span class='op'>(</span><span class='fl'>1</span>,<span class='fl'>6</span><span class='op'>)</span>
<span class='va'>THRESx</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/cbind.html'>rbind</a></span><span class='op'>(</span><span class='fl'>0</span>,<span class='va'>THRES</span><span class='op'>)</span>
<span class='va'>THETA</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/stats/Normal.html'>rnorm</a></span><span class='op'>(</span><span class='fl'>200</span><span class='op'>)</span>
<span class='va'>simdat_gpcm</span> <span class='op'><-</span> <span class='fu'><a href='sim_gpcm.html'>sim_gpcm</a></span><span class='op'>(</span>thres <span class='op'>=</span> <span class='va'>THRESx</span>,alpha <span class='op'>=</span> <span class='va'>sl</span>,theta <span class='op'>=</span> <span class='va'>THETA</span><span class='op'>)</span>
<span class='va'>my_pcm</span> <span class='op'><-</span> <span class='fu'>eRm</span><span class='fu'>::</span><span class='fu'><a href='https://rdrr.io/pkg/eRm/man/PCM.html'>PCM</a></span><span class='op'>(</span><span class='va'>simdat_gpcm</span><span class='op'>)</span>
<span class='va'>res_pp2</span> <span class='op'><-</span> <span class='fu'>PPass</span><span class='op'>(</span><span class='va'>my_pcm</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: GPCM ...
#> type = wle
#> Estimation finished!</div><div class='output co'>#> <span class='warning'>Warning: Only 'infit and outfit' are currently supported. The calculation is executed with infit outfit </span></div><div class='input'>
<span class='co'>## ========== 1PL model</span>
<span class='fu'><a href='https://rdrr.io/r/base/Random.html'>set.seed</a></span><span class='op'>(</span><span class='fl'>1337</span><span class='op'>)</span>
<span class='co'># intercepts</span>
<span class='va'>diffpar</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/seq.html'>seq</a></span><span class='op'>(</span><span class='op'>-</span><span class='fl'>3</span>,<span class='fl'>3</span>,length<span class='op'>=</span><span class='fl'>15</span><span class='op'>)</span>
<span class='co'># slope parameters</span>
<span class='va'>sl</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/Round.html'>round</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/stats/Uniform.html'>runif</a></span><span class='op'>(</span><span class='fl'>15</span>,<span class='fl'>0.5</span>,<span class='fl'>1.5</span><span class='op'>)</span>,<span class='fl'>2</span><span class='op'>)</span>
<span class='va'>la</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/Round.html'>round</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/stats/Uniform.html'>runif</a></span><span class='op'>(</span><span class='fl'>15</span>,<span class='fl'>0</span>,<span class='fl'>0.25</span><span class='op'>)</span>,<span class='fl'>2</span><span class='op'>)</span>
<span class='va'>ua</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/Round.html'>round</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/stats/Uniform.html'>runif</a></span><span class='op'>(</span><span class='fl'>15</span>,<span class='fl'>0.8</span>,<span class='fl'>1</span><span class='op'>)</span>,<span class='fl'>2</span><span class='op'>)</span>
<span class='co'># response matrix</span>
<span class='va'>awm</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/matrix.html'>matrix</a></span><span class='op'>(</span><span class='fu'><a href='https://rdrr.io/r/base/sample.html'>sample</a></span><span class='op'>(</span><span class='fl'>0</span><span class='op'>:</span><span class='fl'>1</span>,<span class='fl'>100</span><span class='op'>*</span><span class='fl'>15</span>,replace<span class='op'>=</span><span class='cn'>TRUE</span><span class='op'>)</span>,ncol<span class='op'>=</span><span class='fl'>15</span><span class='op'>)</span>
<span class='va'>awm</span> <span class='op'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/as.data.frame.html'>as.data.frame</a></span><span class='op'>(</span><span class='va'>awm</span><span class='op'>)</span>
<span class='co'># estimate person parameter</span>
<span class='co'># estimate person parameter and person fit</span>
<span class='va'>out</span> <span class='op'><-</span> <span class='fu'>PPass</span><span class='op'>(</span>respdf <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>, items<span class='op'>=</span><span class='st'>"all"</span>,
mod<span class='op'>=</span><span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='st'>"1PL"</span><span class='op'>)</span>, fitindices<span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='st'>"lz"</span>,<span class='st'>"lzstar"</span>,<span class='st'>"infit"</span>,<span class='st'>"outfit"</span><span class='op'>)</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 1pl model ...
#> type = wle
#> Estimation finished!</div><div class='input'>
<span class='co'># show first rows</span>
<span class='fu'><a href='https://rdrr.io/r/utils/head.html'>head</a></span><span class='op'>(</span><span class='va'>out</span><span class='op'>)</span>
</div><div class='output co'>#> estimate SE lz lz_unst lzstar infit in_t in_chisq
#> 1 0.2283002 0.6819765 -3.083081 -0.870676 -3.086058 2.020659 2.305126 47.064
#> 2 0.2283002 0.6819765 -5.785447 -1.242104 -5.790820 2.966794 3.732302 70.659
#> 3 -0.6878210 0.6874864 -5.900059 -1.239635 -5.953959 2.886533 3.635684 80.964
#> 4 -2.1690639 0.7630686 -6.072526 -1.122556 -7.131986 2.506919 2.974178 227.247
#> 5 -1.1569232 0.6998950 -2.673938 -0.777026 -2.759479 1.761801 1.850323 60.601
#> 6 0.2283002 0.6819765 -6.824819 -1.384962 -6.831113 3.295854 4.156107 85.261
#> in_df in_pv outfit ou_t ou_chisq ou_df ou_pv
#> 1 14 0 3.137599 2.433293 47.064 14 0
#> 2 14 0 4.710578 3.451529 70.659 14 0
#> 3 14 0 5.397579 3.423889 80.964 14 0
#> 4 14 0 15.149777 3.515269 227.247 14 0
#> 5 14 0 4.040039 2.329902 60.601 14 0
#> 6 14 0 5.684096 3.970965 85.261 14 0</div></pre>
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