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was used in Schroeders, Robitzsch and Schipolowski (2014)." />
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<h1>C-Test Datasets</h1>
<div class="hidden name"><code>data.g308.Rd</code></div>
</div>
<div class="ref-description">
<p>Some datasets of C-tests are provided. The dataset <code>data.g308</code>
was used in Schroeders, Robitzsch and Schipolowski (2014).</p>
</div>
<pre class="usage"><span class='fu'><a href='https://rdrr.io/r/utils/data.html'>data</a></span>(<span class='no'>data.g308</span>)</pre>
<h2 class="hasAnchor" id="format"><a class="anchor" href="#format"></a>Format</h2>
<ul>
<li><p>The dataset <code>data.g308</code> is a C-test containing 20 items and is
used in Schroeders, Robitzsch and Schipolowski (2014) and is of the
following format <br /></p>
<p><code>'data.frame': 747 obs. of 21 variables:</code> <br />
<code> $ id : int 1 2 3 4 5 6 7 8 9 10 ...</code> <br />
<code> $ G30801: int 1 1 1 1 1 0 0 1 1 1 ...</code> <br />
<code> $ G30802: int 1 1 1 1 1 1 1 1 1 1 ...</code> <br />
<code> $ G30803: int 1 1 1 1 1 1 1 1 1 1 ...</code> <br />
<code> $ G30804: int 1 1 1 1 1 0 1 1 1 1 ...</code> <br />
<code>[...]</code> <br />
<code> $ G30817: int 0 0 0 0 1 0 1 0 1 0 ...</code> <br />
<code> $ G30818: int 0 0 1 0 0 0 0 1 1 0 ...</code> <br />
<code> $ G30819: int 1 1 1 1 0 0 1 1 1 0 ...</code> <br />
<code> $ G30820: int 1 1 1 1 0 0 0 1 1 0 ...</code> <br /></p></li>
</ul>
<h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2>
<p>Schroeders, U., Robitzsch, A., & Schipolowski, S. (2014).
A comparison of different psychometric approaches to modeling testlet
structures: An example with C-tests.
<em>Journal of Educational Measurement, 51</em>(4), 400-418.</p>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><span class='kw'>if</span> (<span class='fl'>FALSE</span>) {
<span class='co'>#############################################################################</span>
<span class='co'># EXAMPLE 1: Dataset G308 from Schroeders et al. (2014)</span>
<span class='co'>#############################################################################</span>
<span class='fu'><a href='https://rdrr.io/r/utils/data.html'>data</a></span>(<span class='no'>data.g308</span>)
<span class='no'>dat</span> <span class='kw'><-</span> <span class='no'>data.g308</span>
<span class='fu'><a href='https://rdrr.io/r/base/library.html'>library</a></span>(<span class='no'>TAM</span>)
<span class='fu'><a href='https://rdrr.io/r/base/library.html'>library</a></span>(<span class='no'>sirt</span>)
<span class='fu'><a href='https://rdrr.io/r/base/library.html'>library</a></span>(<span class='no'>combinat</span>)
<span class='co'># define testlets</span>
<span class='no'>testlet</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>1</span>, <span class='fl'>1</span>, <span class='fl'>2</span>, <span class='fl'>2</span>, <span class='fl'>2</span>, <span class='fl'>2</span>, <span class='fl'>2</span>, <span class='fl'>2</span>, <span class='fl'>3</span>, <span class='fl'>3</span>, <span class='fl'>4</span>, <span class='fl'>4</span>, <span class='fl'>4</span>, <span class='fl'>4</span>, <span class='fl'>4</span>, <span class='fl'>5</span>, <span class='fl'>5</span>, <span class='fl'>6</span>, <span class='fl'>6</span>, <span class='fl'>6</span>)
<span class='co'>#****************************************</span>
<span class='co'>#*** Model 1: Rasch model</span>
<span class='no'>mod1</span> <span class='kw'><-</span> <span class='kw pkg'>TAM</span><span class='kw ns'>::</span><span class='fu'><a href='https://rdrr.io/pkg/TAM/man/tam.mml.html'>tam.mml</a></span>(<span class='kw'>resp</span><span class='kw'>=</span><span class='no'>dat</span>[,-<span class='fl'>1</span>], <span class='kw'>pid</span><span class='kw'>=</span><span class='no'>dat</span>[,<span class='fl'>1</span>],
<span class='kw'>control</span><span class='kw'>=</span><span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>maxiter</span><span class='kw'>=</span><span class='fl'>300</span>, <span class='kw'>snodes</span><span class='kw'>=</span><span class='fl'>1500</span>))
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>mod1</span>)
<span class='co'>#****************************************</span>
<span class='co'>#*** Model 2: Rasch testlet model</span>
<span class='co'># testlets are dimensions, assign items to Q-matrix</span>
<span class='no'>TT</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/length.html'>length</a></span>(<span class='fu'><a href='https://rdrr.io/r/base/unique.html'>unique</a></span>(<span class='no'>testlet</span>))
<span class='no'>Q</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/matrix.html'>matrix</a></span>(<span class='fl'>0</span>, <span class='kw'>nrow</span><span class='kw'>=</span><span class='fu'><a href='https://rdrr.io/r/base/nrow.html'>ncol</a></span>(<span class='no'>dat</span>)-<span class='fl'>1</span>, <span class='kw'>ncol</span><span class='kw'>=</span><span class='no'>TT</span> + <span class='fl'>1</span>)
<span class='no'>Q</span>[,<span class='fl'>1</span>] <span class='kw'><-</span> <span class='fl'>1</span> <span class='co'># First dimension constitutes g-factor</span>
<span class='kw'>for</span> (<span class='no'>tt</span> <span class='kw'>in</span> <span class='fl'>1</span>:<span class='no'>TT</span>){<span class='no'>Q</span>[<span class='no'>testlet</span><span class='kw'>==</span><span class='no'>tt</span>, <span class='no'>tt</span>+<span class='fl'>1</span>] <span class='kw'><-</span> <span class='fl'>1</span>}
<span class='co'># In a testlet model, all dimensions are uncorrelated among</span>
<span class='co'># each other, that is, all pairwise correlations are set to 0,</span>
<span class='co'># which can be accomplished with the "variance.fixed" command</span>
<span class='no'>variance.fixed</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/cbind.html'>cbind</a></span>(<span class='fu'><a href='https://rdrr.io/r/base/t.html'>t</a></span>( <span class='kw pkg'>combinat</span><span class='kw ns'>::</span><span class='fu'>combn</span>(<span class='no'>TT</span>+<span class='fl'>1</span>,<span class='fl'>2</span>)), <span class='fl'>0</span>)
<span class='no'>mod2</span> <span class='kw'><-</span> <span class='kw pkg'>TAM</span><span class='kw ns'>::</span><span class='fu'><a href='https://rdrr.io/pkg/TAM/man/tam.mml.html'>tam.mml</a></span>(<span class='kw'>resp</span><span class='kw'>=</span><span class='no'>dat</span>[,-<span class='fl'>1</span>], <span class='kw'>pid</span><span class='kw'>=</span><span class='no'>dat</span>[,<span class='fl'>1</span>], <span class='kw'>Q</span><span class='kw'>=</span><span class='no'>Q</span>,
<span class='kw'>variance.fixed</span><span class='kw'>=</span><span class='no'>variance.fixed</span>,
<span class='kw'>control</span><span class='kw'>=</span><span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>snodes</span><span class='kw'>=</span><span class='fl'>1500</span>, <span class='kw'>maxiter</span><span class='kw'>=</span><span class='fl'>300</span>))
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>mod2</span>)
<span class='co'>#****************************************</span>
<span class='co'>#*** Model 3: Partial credit model</span>
<span class='no'>scores</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>()
<span class='no'>testlet.names</span> <span class='kw'><-</span> <span class='kw'>NULL</span>
<span class='no'>dat.pcm</span> <span class='kw'><-</span> <span class='kw'>NULL</span>
<span class='kw'>for</span> (<span class='no'>tt</span> <span class='kw'>in</span> <span class='fl'>1</span>:<span class='fu'><a href='https://rdrr.io/r/base/Extremes.html'>max</a></span>(<span class='no'>testlet</span>) ){
<span class='no'>scores</span><span class='kw'>[[</span><span class='no'>tt</span>]] <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/colSums.html'>rowSums</a></span> (<span class='no'>dat</span>[,-<span class='fl'>1</span>][, <span class='no'>testlet</span><span class='kw'>==</span><span class='no'>tt</span>, <span class='kw'>drop</span><span class='kw'>=</span><span class='fl'>FALSE</span>])
<span class='no'>dat.pcm</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='no'>dat.pcm</span>, <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='no'>scores</span><span class='kw'>[[</span><span class='no'>tt</span>]])))
<span class='no'>testlet.names</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/append.html'>append</a></span>(<span class='no'>testlet.names</span>, <span class='fu'><a href='https://rdrr.io/r/base/paste.html'>paste0</a></span>(<span class='st'>"testlet"</span>,<span class='no'>tt</span>) )
}
<span class='no'>dat.pcm</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/as.data.frame.html'>as.data.frame</a></span>(<span class='no'>dat.pcm</span>)
<span class='fu'><a href='https://rdrr.io/r/base/colnames.html'>colnames</a></span>(<span class='no'>dat.pcm</span>) <span class='kw'><-</span> <span class='no'>testlet.names</span>
<span class='no'>mod3</span> <span class='kw'><-</span> <span class='kw pkg'>TAM</span><span class='kw ns'>::</span><span class='fu'><a href='https://rdrr.io/pkg/TAM/man/tam.mml.html'>tam.mml</a></span>(<span class='kw'>resp</span><span class='kw'>=</span><span class='no'>dat.pcm</span>, <span class='kw'>control</span><span class='kw'>=</span><span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='kw'>snodes</span><span class='kw'>=</span><span class='fl'>1500</span>, <span class='kw'>maxiter</span><span class='kw'>=</span><span class='fl'>300</span>) )
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>mod3</span>)
<span class='co'>#****************************************</span>
<span class='co'>#*** Model 4: Copula model</span>
<span class='no'>mod4</span> <span class='kw'><-</span> <span class='kw pkg'>sirt</span><span class='kw ns'>::</span><span class='fu'><a href='https://rdrr.io/pkg/sirt/man/rasch.copula.html'>rasch.copula2</a></span> (<span class='kw'>dat</span><span class='kw'>=</span><span class='no'>dat</span>[,-<span class='fl'>1</span>], <span class='kw'>itemcluster</span><span class='kw'>=</span><span class='no'>testlet</span>)
<span class='fu'><a href='https://rdrr.io/r/base/summary.html'>summary</a></span>(<span class='no'>mod4</span>)
}</pre>
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<h2>Contents</h2>
<ul class="nav nav-pills nav-stacked">
<li><a href="#format">Format</a></li>
<li><a href="#references">References</a></li>
<li><a href="#examples">Examples</a></li>
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