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<h1>Run a jackknife</h1>
<small class="dont-index">Source: <a href='https://github.com/jansteinfeld/PP/blob/master/R/JKpp.R'><code>R/JKpp.R</code></a>, <a href='https://github.com/jansteinfeld/PP/blob/master/R/prints.R'><code>R/prints.R</code></a></small>
<div class="hidden name"><code>Jkpp.Rd</code></div>
</div>
<div class="ref-description">
<p>This function uses a jackknife approach to compute person parameters. The jackknife ability measure is based on primarily estimated models (<code><a href='PP_4pl.html'>PP_4pl()</a></code>, <code><a href='PP_gpcm.html'>PP_gpcm()</a></code> or <code><a href='PPall.html'>PPall()</a></code>) - so the function is applied on the estimation objects, and jackknifed ability measures are returned.</p>
</div>
<pre class="usage"><span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>estobj</span>, <span class='va'>...</span><span class='op'>)</span>
<span class='co'># S3 method for fourpl</span>
<span class='fu'>JKpp</span><span class='op'>(</span>
<span class='va'>estobj</span>,
cmeth <span class='op'>=</span> <span class='st'>"mean"</span>,
maxsteps <span class='op'>=</span> <span class='fl'>500</span>,
exac <span class='op'>=</span> <span class='fl'>0.001</span>,
fullmat <span class='op'>=</span> <span class='cn'>FALSE</span>,
ctrl <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span><span class='op'>(</span><span class='op'>)</span>,
<span class='va'>...</span>
<span class='op'>)</span>
<span class='co'># S3 method for gpcm</span>
<span class='fu'>JKpp</span><span class='op'>(</span>
<span class='va'>estobj</span>,
cmeth <span class='op'>=</span> <span class='st'>"mean"</span>,
maxsteps <span class='op'>=</span> <span class='fl'>500</span>,
exac <span class='op'>=</span> <span class='fl'>0.001</span>,
fullmat <span class='op'>=</span> <span class='cn'>FALSE</span>,
ctrl <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span><span class='op'>(</span><span class='op'>)</span>,
<span class='va'>...</span>
<span class='op'>)</span>
<span class='co'># S3 method for gpcm4pl</span>
<span class='fu'>JKpp</span><span class='op'>(</span>
<span class='va'>estobj</span>,
cmeth <span class='op'>=</span> <span class='st'>"mean"</span>,
maxsteps <span class='op'>=</span> <span class='fl'>500</span>,
exac <span class='op'>=</span> <span class='fl'>0.001</span>,
fullmat <span class='op'>=</span> <span class='cn'>FALSE</span>,
ctrl <span class='op'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span><span class='op'>(</span><span class='op'>)</span>,
<span class='va'>...</span>
<span class='op'>)</span>
<span class='co'># S3 method for jk</span>
<span class='fu'><a href='https://rdrr.io/r/base/print.html'>print</a></span><span class='op'>(</span><span class='va'>x</span>, <span class='va'>...</span><span class='op'>)</span>
<span class='co'># S3 method for jk</span>
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>object</span>, nrowmax <span class='op'>=</span> <span class='fl'>15</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>estobj</th>
<td><p>An object which originates from using <code><a href='PP_gpcm.html'>PP_gpcm()</a></code>, <code><a href='PP_4pl.html'>PP_4pl()</a></code> or <code><a href='PPall.html'>PPall()</a></code>.</p></td>
</tr>
<tr>
<th>...</th>
<td><p>More input.</p></td>
</tr>
<tr>
<th>cmeth</th>
<td><p>Choose the centering method, to summarize the n jackknife results to one single ability estimate. There are three valid entries: "mean", "median" and "AMT" (see Details for further description).</p></td>
</tr>
<tr>
<th>maxsteps</th>
<td><p>The maximum number of steps the NR Algorithm will take.</p></td>
</tr>
<tr>
<th>exac</th>
<td><p>How accurate are the estimates supposed to be? Default is 0.001.</p></td>
</tr>
<tr>
<th>fullmat</th>
<td><p>Default = FALSE. If TRUE, the function returns the whole jackknife matrix, which is the basis for the jackknife estimator.</p></td>
</tr>
<tr>
<th>ctrl</th>
<td><p>More controls</p></td>
</tr>
<tr>
<th>x</th>
<td><p>an object of class <code>jk</code> which is the result of using the <code>JKpp()</code> function</p></td>
</tr>
<tr>
<th>object</th>
<td><p>An object of class <code>jk</code> which is the result of using the <code>JKpp()</code> function</p></td>
</tr>
<tr>
<th>nrowmax</th>
<td><p>When printing the matrix of estimates - how many rows should be shown? Default = 15.</p></td>
</tr>
</table>
<h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2>
<p>Please use the Jackknife <b>Standard-Error</b> output with <b>caution</b>! It is implemented as suggested in Wainer and Wright (1980), but the results seem a bit strange, because the JK-SE is supposed to overestimate the SE compared to the MLE-SE. Actually, in all examples an underestimation of the SE was observed compared to the MLE/WLE-SE!</p>
<p><b>AMT-robustified jackknife:</b> When choosing <code>cmeth = AMT</code>, the jackknife ability subsample estimates and the original supplied ability estimate are combined to a single jackknife-ability value by the Sine M-estimator. The AMT (or Sine M-estimator) is one of the winners in the Princeton Robustness Study of 1972. To get a better idea how the estimation process works, take a closer look to the paper which is mentioned below (Wainer & Wright, 1980).</p>
<h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>
<p>Wainer, H., & Wright, B. D. (1980). Robust estimation of ability in the Rasch model. Psychometrika, 45(3), 373-391.</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_gpcm.html'>PP_gpcm</a>, <a href='PP_4pl.html'>PP_4pl</a>, <a href='PPall.html'>PPall</a></p></div>
<h2 class="hasAnchor" id="author"><a class="anchor" href="#author"></a>Author</h2>
<p>Manuel Reif</p>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'><span class='co'>################# Jackknife ###################################################</span>
<span class='co'>### 4 PL model ######</span>
<span class='co'>### data creation ##########</span>
<span class='fu'><a href='https://rdrr.io/r/base/Random.html'>set.seed</a></span><span class='op'>(</span><span class='fl'>1623</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'>12</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'>12</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'>12</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'>12</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'>abpar</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'>10</span>,<span class='fl'>0</span>,<span class='fl'>1.7</span><span class='op'>)</span>
<span class='va'>awm</span> <span class='op'><-</span> <span class='fu'><a href='sim_4pl.html'>sim_4pl</a></span><span class='op'>(</span>beta <span class='op'>=</span> <span class='va'>diffpar</span>,alpha <span class='op'>=</span> <span class='va'>sl</span>,lowerA <span class='op'>=</span> <span class='va'>la</span>,upperA<span class='op'>=</span><span class='va'>ua</span>,theta <span class='op'>=</span> <span class='va'>abpar</span><span class='op'>)</span>
<span class='co'>## 1PL model ##### </span>
<span class='co'># MLE</span>
<span class='va'>res1plmle</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,type <span class='op'>=</span> <span class='st'>"mle"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 1pl model ...
#> type = mle
#> Estimation finished!</div><div class='input'><span class='co'># WLE</span>
<span class='va'>res1plwle</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,type <span class='op'>=</span> <span class='st'>"wle"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 1pl model ...
#> type = wle
#> Estimation finished!</div><div class='input'><span class='co'># MAP estimation</span>
<span class='va'>res1plmap</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,type <span class='op'>=</span> <span class='st'>"map"</span><span class='op'>)</span>
</div><div class='output co'>#> <span class='warning'>Warning: all mu's are set to 0! </span></div><div class='output co'>#> <span class='warning'>Warning: all sigma2's are set to 1! </span></div><div class='output co'>#> Estimating: 1pl model ...
#> type = map
#> Estimation finished!</div><div class='input'><span class='co'># EAP estimation</span>
<span class='va'>res1pleap</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,type <span class='op'>=</span> <span class='st'>"eap"</span><span class='op'>)</span>
</div><div class='output co'>#> <span class='warning'>Warning: all mu's are set to 0! </span></div><div class='output co'>#> <span class='warning'>Warning: all sigma2's are set to 1! </span></div><div class='output co'>#> Estimating: 1pl model ...
#> type = eap
#> Estimation finished!</div><div class='input'><span class='co'># robust estimation</span>
<span class='va'>res1plrob</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,type <span class='op'>=</span> <span class='st'>"robust"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 1pl model ...
#> type = robust
#> Estimation finished!</div><div class='input'>
<span class='co'>## centering method = mean</span>
<span class='va'>res_jk1</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plmle</span><span class='op'>)</span>
<span class='va'>res_jk2</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plwle</span><span class='op'>)</span>
<span class='va'>res_jk3</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plmap</span><span class='op'>)</span>
<span class='va'>res_jk4</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plrob</span><span class='op'>)</span>
<span class='va'>res_jk5</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1pleap</span><span class='op'>)</span>
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>res_jk1</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: JKpp.fourpl(estobj = res1plmle)
#> - job started @ Mon May 24 13:27:51 2021
#>
#> Estimation type: Jackknife --> mle
#>
#> -------------------------------------
#> estimate SE
#> [1,] 1.7363 0.1015
#> [2,] -1.2290 0.1072
#> [3,] 0.5319 0.1016
#> [4,] 2.3532 0.1173
#> [5,] -1.1482 0.1024
#> [6,] 0.0000 0.0913
#> [7,] -0.6334 0.1133
#> [8,] -1.8278 0.0858
#> [9,] -1.6833 0.0982
#> [10,] -0.0644 0.1186</div><div class='input'>
<span class='co'>## centering method = median</span>
<span class='va'>res_jk1a</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plmle</span>,cmeth <span class='op'>=</span> <span class='st'>"median"</span><span class='op'>)</span>
<span class='va'>res_jk2a</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plwle</span>,cmeth <span class='op'>=</span> <span class='st'>"median"</span><span class='op'>)</span>
<span class='va'>res_jk3a</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plmap</span>,cmeth <span class='op'>=</span> <span class='st'>"median"</span><span class='op'>)</span>
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>res_jk2a</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: JKpp.fourpl(estobj = res1plwle, cmeth = "median")
#> - job started @ Mon May 24 13:27:51 2021
#>
#> Estimation type: Jackknife --> wle
#>
#> -------------------------------------
#> estimate SE
#> [1,] 1.9587 0.1029
#> [2,] -1.7012 0.1933
#> [3,] 0.8853 0.1336
#> [4,] 2.6364 0.0908
#> [5,] -1.3424 0.1125
#> [6,] 0.0000 0.0894
#> [7,] -0.8377 0.1377
#> [8,] -2.0417 0.1129
#> [9,] -1.9587 0.0916
#> [10,] -0.0843 0.1191</div><div class='input'>
<span class='co'>## centering method = AMT</span>
<span class='va'>res_jk1b</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plmle</span>,cmeth <span class='op'>=</span> <span class='st'>"AMT"</span><span class='op'>)</span>
<span class='va'>res_jk2b</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plwle</span>,cmeth <span class='op'>=</span> <span class='st'>"AMT"</span><span class='op'>)</span>
<span class='va'>res_jk3b</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res1plmap</span>,cmeth <span class='op'>=</span> <span class='st'>"AMT"</span><span class='op'>)</span>
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>res_jk3b</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: JKpp.fourpl(estobj = res1plmap, cmeth = "AMT")
#> - job started @ Mon May 24 13:27:51 2021
#>
#> Estimation type: Jackknife --> map
#>
#> -------------------------------------
#> estimate SE
#> [1,] 0.7226 0.1201
#> [2,] -0.6483 0.0678
#> [3,] 0.0910 0.1009
#> [4,] 0.7104 0.2275
#> [5,] -0.7071 0.0584
#> [6,] 0.0000 0.0560
#> [7,] -0.6097 0.1025
#> [8,] -1.2173 0.0637
#> [9,] -0.7433 0.1107
#> [10,] 0.0204 0.0718</div><div class='input'>
<span class='co'>## 2PL model ##### </span>
<span class='co'># MLE</span>
<span class='va'>res2plmle</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>, slopes <span class='op'>=</span> <span class='va'>sl</span>,type <span class='op'>=</span> <span class='st'>"mle"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 2pl model ...
#> type = mle
#> Estimation finished!</div><div class='input'><span class='co'># WLE</span>
<span class='va'>res2plwle</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>, slopes <span class='op'>=</span> <span class='va'>sl</span>,type <span class='op'>=</span> <span class='st'>"wle"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 2pl model ...
#> type = wle
#> Estimation finished!</div><div class='input'><span class='co'># MAP estimation</span>
<span class='va'>res2plmap</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>, slopes <span class='op'>=</span> <span class='va'>sl</span>,type <span class='op'>=</span> <span class='st'>"map"</span><span class='op'>)</span>
</div><div class='output co'>#> <span class='warning'>Warning: all mu's are set to 0! </span></div><div class='output co'>#> <span class='warning'>Warning: all sigma2's are set to 1! </span></div><div class='output co'>#> Estimating: 2pl model ...
#> type = map
#> Estimation finished!</div><div class='input'><span class='co'># EAP estimation</span>
<span class='va'>res2pleap</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,slopes <span class='op'>=</span> <span class='va'>sl</span>,type <span class='op'>=</span> <span class='st'>"eap"</span><span class='op'>)</span>
</div><div class='output co'>#> <span class='warning'>Warning: all mu's are set to 0! </span></div><div class='output co'>#> <span class='warning'>Warning: all sigma2's are set to 1! </span></div><div class='output co'>#> Estimating: 2pl model ...
#> type = eap
#> Estimation finished!</div><div class='input'><span class='co'># robust estimation</span>
<span class='va'>res2plrob</span> <span class='op'><-</span> <span class='fu'><a href='PP_4pl.html'>PP_4pl</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awm</span>,thres <span class='op'>=</span> <span class='va'>diffpar</span>,slopes <span class='op'>=</span> <span class='va'>sl</span>,type <span class='op'>=</span> <span class='st'>"robust"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: 2pl model ...
#> type = robust
#> Estimation finished!</div><div class='input'>
<span class='va'>res_jk6</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res2plmle</span><span class='op'>)</span>
<span class='va'>res_jk7</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res2plwle</span><span class='op'>)</span>
<span class='va'>res_jk8</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res2plmap</span><span class='op'>)</span>
<span class='va'>res_jk9</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res2pleap</span><span class='op'>)</span>
<span class='va'>res_jk10</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>res2plrob</span><span class='op'>)</span>
<span class='co'>### GPCM model ######</span>
<span class='co'># some threshold parameters</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'>awmatrix</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='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>2</span>,<span class='fl'>0</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span>,<span class='fl'>2</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span>,
<span class='fl'>1</span>,<span class='fl'>2</span>,<span class='fl'>2</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span><span class='op'>)</span>,byrow<span class='op'>=</span><span class='cn'>TRUE</span>,nrow<span class='op'>=</span><span class='fl'>5</span><span class='op'>)</span>
<span class='co'>### PCM model ######</span>
<span class='co'># MLE</span>
<span class='va'>respcmlmle</span> <span class='op'><-</span> <span class='fu'><a href='PP_gpcm.html'>PP_gpcm</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awmatrix</span>,thres <span class='op'>=</span> <span class='va'>THRES</span>,
slopes <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='fu'><a href='https://rdrr.io/r/base/nrow.html'>ncol</a></span><span class='op'>(</span><span class='va'>THRES</span><span class='op'>)</span><span class='op'>)</span>,type <span class='op'>=</span> <span class='st'>"mle"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: GPCM ...
#> type = mle
#> Estimation finished!</div><div class='input'><span class='co'># WLE</span>
<span class='va'>respcmwle</span> <span class='op'><-</span> <span class='fu'><a href='PP_gpcm.html'>PP_gpcm</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awmatrix</span>,thres <span class='op'>=</span> <span class='va'>THRES</span>,
slopes <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='fu'><a href='https://rdrr.io/r/base/nrow.html'>ncol</a></span><span class='op'>(</span><span class='va'>THRES</span><span class='op'>)</span><span class='op'>)</span>,type <span class='op'>=</span> <span class='st'>"wle"</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: GPCM ...
#> type = wle
#> Estimation finished!</div><div class='input'><span class='co'># MAP estimation</span>
<span class='va'>respcmmap</span> <span class='op'><-</span> <span class='fu'><a href='PP_gpcm.html'>PP_gpcm</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awmatrix</span>,thres <span class='op'>=</span> <span class='va'>THRES</span>,
slopes <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='fu'><a href='https://rdrr.io/r/base/nrow.html'>ncol</a></span><span class='op'>(</span><span class='va'>THRES</span><span class='op'>)</span><span class='op'>)</span>,type <span class='op'>=</span> <span class='st'>"map"</span><span class='op'>)</span>
</div><div class='output co'>#> <span class='warning'>Warning: all mu's are set to 0! </span></div><div class='output co'>#> <span class='warning'>Warning: all sigma2's are set to 1! </span></div><div class='output co'>#> Estimating: GPCM ...
#> type = map
#> Estimation finished!</div><div class='input'>
<span class='va'>res_jk11</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>respcmlmle</span><span class='op'>)</span>
<span class='va'>res_jk12</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>respcmwle</span><span class='op'>)</span>
<span class='va'>res_jk13</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>respcmmap</span><span class='op'>)</span>
<span class='co'>### GPCM/4-PL mixed model ######</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'>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='va'>THRES</span>
<span class='va'>THRESx</span><span class='op'>[</span><span class='fl'>2</span>,<span class='fl'>1</span><span class='op'>:</span><span class='fl'>3</span><span class='op'>]</span> <span class='op'><-</span> <span class='cn'>NA</span>
<span class='co'># for the 4PL item the estimated parameters are submitted, </span>
<span class='co'># for the GPCM items the lower asymptote = 0 </span>
<span class='co'># and the upper asymptote = 1.</span>
<span class='va'>la</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'>0.02</span>,<span class='fl'>0.1</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span><span class='op'>)</span>
<span class='va'>ua</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'>0.97</span>,<span class='fl'>0.91</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span><span class='op'>)</span>
<span class='va'>awmatrix</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='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span>
,<span class='fl'>2</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span>
,<span class='fl'>0</span>,<span class='fl'>2</span>,<span class='fl'>2</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>1</span>,<span class='fl'>0</span>,<span class='fl'>0</span>,<span class='fl'>1</span><span class='op'>)</span>,byrow<span class='op'>=</span><span class='cn'>TRUE</span>,nrow<span class='op'>=</span><span class='fl'>5</span><span class='op'>)</span>
<span class='co'># create model2est</span>
<span class='co'># this function tries to help finding the appropriate </span>
<span class='co'># model by inspecting the THRESx.</span>
<span class='va'>model2est</span> <span class='op'><-</span> <span class='fu'><a href='findmodel.html'>findmodel</a></span><span class='op'>(</span><span class='va'>THRESx</span><span class='op'>)</span>
<span class='co'># MLE estimation</span>
<span class='va'>respmixed_mle</span> <span class='op'><-</span> <span class='fu'><a href='PPall.html'>PPall</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awmatrix</span>,
thres <span class='op'>=</span> <span class='va'>THRESx</span>,
slopes <span class='op'>=</span> <span class='va'>sl</span>,
lowerA <span class='op'>=</span> <span class='va'>la</span>,
upperA<span class='op'>=</span><span class='va'>ua</span>,
type <span class='op'>=</span> <span class='st'>"mle"</span>,
model2est<span class='op'>=</span><span class='va'>model2est</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: mixed 4PL, GPCM ...
#> type = mle
#> Estimation finished!</div><div class='input'><span class='co'># WLE estimation</span>
<span class='va'>respmixed_wle</span> <span class='op'><-</span> <span class='fu'><a href='PPall.html'>PPall</a></span><span class='op'>(</span>respm <span class='op'>=</span> <span class='va'>awmatrix</span>,
thres <span class='op'>=</span> <span class='va'>THRESx</span>,
slopes <span class='op'>=</span> <span class='va'>sl</span>,
lowerA <span class='op'>=</span> <span class='va'>la</span>,
upperA<span class='op'>=</span><span class='va'>ua</span>,
type <span class='op'>=</span> <span class='st'>"wle"</span>,
model2est<span class='op'>=</span><span class='va'>model2est</span><span class='op'>)</span>
</div><div class='output co'>#> Estimating: mixed 4PL, GPCM ...
#> type = wle
#> Estimation finished!</div><div class='input'>
<span class='va'>res_jk114</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>respmixed_mle</span><span class='op'>)</span>
<span class='va'>res_jk115</span> <span class='op'><-</span> <span class='fu'>JKpp</span><span class='op'>(</span><span class='va'>respmixed_wle</span><span class='op'>)</span>
</div></pre>
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