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<h1>Create a model-type vector template</h1>
<small class="dont-index">Source: <a href='https://github.com/jansteinfeld/PP/blob/master/R/findmodel.R'><code>R/findmodel.R</code></a></small>
<div class="hidden name"><code>findmodel.Rd</code></div>
</div>
<div class="ref-description">
<p>This is a small helper function which creates a vector template quick and easily for the <code><a href='PPall.html'>PPall()</a></code> function. Modify this template as you like.</p>
</div>
<pre class="usage"><span class='fu'>findmodel</span><span class='op'>(</span><span class='va'>thres</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>A numeric matrix which contains the threshold parameter for each item. NA is allowed - in fact expected!</p></td>
</tr>
</table>
<h2 class="hasAnchor" id="details"><a class="anchor" href="#details"></a>Details</h2>
<p>This function tries to guess the model which was applied to each item by using the matrix of threshold parameters. It only discriminates between GPCM and 4-PL model, and returns a character vector of length equal to the number of items, that contains <code>"GPCM"</code> or <code>"4PL"</code> entries depending on the structure of the thres matrix.</p>
<h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2>
<div class='dont-index'><p><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'>################# GPCM and 4PL mixed #########################################</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'>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'>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'># 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'>findmodel</span><span class='op'>(</span><span class='va'>THRESx</span><span class='op'>)</span>
<span class='co'># MLE</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</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='co'># MAP estimation</span>
<span class='va'>respmixed_map</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'>"map"</span>,
model2est<span class='op'>=</span><span class='va'>model2est</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: mixed 4PL, GPCM ...
#> type = map
#> Estimation finished!</div><div class='input'>
<span class='co'># EAP estimation</span>
<span class='va'>respmixed_eap</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'>"eap"</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 = eap
#> Estimation finished!</div><div class='input'>
<span class='co'># Robust estimation</span>
<span class='va'>respmixed_rob</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'>"robust"</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 = robust </div><div class='output co'>#> <span class='warning'>Warning: Robust estimation for GPCM is still very experimental! </span></div><div class='output co'>#> Estimation finished!</div><div class='input'>
<span class='co'># summary to summarize the results</span>
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>respmixed_mle</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: PPall(respm = awmatrix, thres = THRESx, slopes = sl, lowerA = la, upperA = ua, type = "mle", model2est = model2est)
#> - job started @ Mon May 24 13:28:00 2021
#>
#> Estimation type: mle
#>
#> Number of iterations: 4
#> -------------------------------------
#> estimate SE
#> [1,] 0.1298 0.7195
#> [2,] -0.0653 0.7333
#> [3,] -Inf NA
#> [4,] 2.1216 0.9344
#> [5,] -0.0155 0.7295</div><div class='input'><span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>respmixed_wle</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: PPall(respm = awmatrix, thres = THRESx, slopes = sl, lowerA = la, upperA = ua, type = "wle", model2est = model2est)
#> - job started @ Mon May 24 13:28:00 2021
#>
#> Estimation type: wle
#>
#> Number of iterations: 7
#> -------------------------------------
#> estimate SE
#> [1,] 0.1684 0.7171
#> [2,] -0.0146 0.7294
#> [3,] -3.1369 1.8953
#> [4,] 1.8696 0.8552
#> [5,] 0.0359 0.7257</div><div class='input'><span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>respmixed_map</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: PPall(respm = awmatrix, thres = THRESx, slopes = sl, lowerA = la, upperA = ua, type = "map", model2est = model2est)
#> - job started @ Mon May 24 13:28:00 2021
#>
#> Estimation type: map
#>
#> Number of iterations: 3
#> -------------------------------------
#> estimate SE
#> [1,] 0.0862 0.7223
#> [2,] -0.0429 0.7316
#> [3,] -1.4487 0.9789
#> [4,] 1.2758 0.7372
#> [5,] -0.0099 0.7291</div><div class='input'><span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>respmixed_eap</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: PPall(respm = awmatrix, thres = THRESx, slopes = sl, lowerA = la, upperA = ua, type = "eap", model2est = model2est)
#> - job started @ Mon May 24 13:28:00 2021
#>
#> Estimation type: eap
#>
#> Number of iterations: 0
#> -------------------------------------
#> estimate SE
#> [1,] 0.0682 0.5905
#> [2,] -0.0653 0.5950
#> [3,] -1.5237 0.7046
#> [4,] 1.3112 0.6142
#> [5,] -0.0417 0.6119</div><div class='input'><span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span><span class='op'>(</span><span class='va'>respmixed_rob</span><span class='op'>)</span>
</div><div class='output co'>#> PP Version: 0.6.3.11
#>
#> Call: PPall(respm = awmatrix, thres = THRESx, slopes = sl, lowerA = la, upperA = ua, type = "robust", model2est = model2est)
#> - job started @ Mon May 24 13:28:00 2021
#>
#> Estimation type: robust
#>
#> Number of iterations: 8
#> -------------------------------------
#> estimate SE
#> [1,] -0.1231 0.7382
#> [2,] -0.0060 0.7288
#> [3,] -Inf NA
#> [4,] 2.3417 1.0189
#> [5,] -0.5460 0.7835</div><div class='input'>
</div></pre>
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