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<h1>Simulate data for the gpcm model</h1>
<small class="dont-index">Source: <a href='https://github.com/jansteinfeld/PP/blob/master/R/sim_gpcm.R'><code>R/sim_gpcm.R</code></a></small>
<div class="hidden name"><code>sim_gpcm.Rd</code></div>
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<div class="ref-description">
<p>This function returns an integer matrix of simulated responses under given item and person parameters.</p>
</div>
<pre class="usage"><span class='fu'>sim_gpcm</span><span class='op'>(</span><span class='va'>thres</span>, <span class='va'>alpha</span>, <span class='va'>theta</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>thres</th>
<td><p>An numeric matrix which contains threshold parameters for each item. The first row must contain zeroes only!</p></td>
</tr>
<tr>
<th>alpha</th>
<td><p>A numeric vector, which contains the slope parameters - one parameter per item is expected.</p></td>
</tr>
<tr>
<th>theta</th>
<td><p>A numeric vector which contains person parameters.</p></td>
</tr>
</table>
<h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
<div class='dont-index'><p><a href='sim_4pl.html'>sim_4pl</a>, <a href='PP_gpcm.html'>PP_gpcm</a></p></div>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'><span class='co'>################# simulate GPCM ###############################################</span>
<span class='fu'><a href='https://rdrr.io/r/base/Random.html'>set.seed</a></span><span class='op'>(</span><span class='fl'>1750</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='co'># slopes</span>
<span class='va'>sl</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='fl'>0.5</span>,<span class='fl'>1</span>,<span class='fl'>1.5</span>,<span class='fl'>1.1</span>,<span class='fl'>1</span>,<span class='fl'>0.98</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'>100</span><span class='op'>)</span>
<span class='va'>simdat_gpcm</span> <span class='op'><-</span> <span class='fu'>sim_gpcm</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='fu'><a href='https://rdrr.io/r/utils/head.html'>head</a></span><span class='op'>(</span><span class='va'>simdat_gpcm</span><span class='op'>)</span>
</div><div class='output co'>#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 2 0 0 0 0 1
#> [2,] 2 1 0 1 0 0
#> [3,] 2 0 1 2 1 1
#> [4,] 2 0 1 2 1 1
#> [5,] 1 0 1 2 2 2
#> [6,] 1 0 1 1 2 0</div><div class='input'>
<span class='co'>### simulate with a different number of categories</span>
<span class='va'>THRES1</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'>THRESx</span>,<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span><span class='op'>(</span><span class='cn'>NA</span>,<span class='cn'>NA</span>,<span class='cn'>NA</span>,<span class='cn'>NA</span>,<span class='fl'>1.7</span>,<span class='fl'>1</span><span class='op'>)</span><span class='op'>)</span>
<span class='va'>THRES1</span> <span class='co'># last 2 items have +1 category</span>
</div><div class='output co'>#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 0.00 0.00 0 0.0 0.0 0.0
#> [2,] -2.00 1.11 1 -1.0 0.5 -0.8
#> [3,] -1.23 3.48 2 -0.2 1.3 1.5
#> [4,] NA NA NA NA 1.7 1.0</div><div class='input'>
<span class='va'>simdat_gpcm2</span> <span class='op'><-</span> <span class='fu'>sim_gpcm</span><span class='op'>(</span>thres <span class='op'>=</span> <span class='va'>THRES1</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='fu'><a href='https://rdrr.io/r/utils/head.html'>head</a></span><span class='op'>(</span><span class='va'>simdat_gpcm2</span><span class='op'>)</span>
</div><div class='output co'>#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 2 0 0 0 0 0
#> [2,] 1 1 0 2 0 2
#> [3,] 2 0 0 1 2 2
#> [4,] 2 1 1 2 2 0
#> [5,] 2 1 1 2 3 3
#> [6,] 2 0 0 2 0 1</div><div class='input'>
<span class='co'># check the maximum category</span>
<span class='fu'><a href='https://rdrr.io/r/base/apply.html'>apply</a></span><span class='op'>(</span><span class='va'>simdat_gpcm2</span>,<span class='fl'>2</span>,<span class='va'>max</span><span class='op'>)</span>
</div><div class='output co'>#> [1] 2 2 2 2 3 3</div><div class='input'>
</div></pre>
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