csem_info

Compute the CSEM for a unidimensional IRT model using either MLE- or EAP-based test information.

Provides functions for computing test reliability and conditional
standard error of measurement (CSEM) based on the methods described in
the Reliability in Educational Measurement chapter of the 5th edition of
"Educational Measurement" by Lee and Harris (2025, ISBN:9780197654965).

Huan Liu

emreliability

Test Reliability and CSEM in Educational Measurement

Won-Chan Lee

Min Liang

csem_info function

<dl><dt>theta</dt>
<dd>A numeric vector (or object coercible to a numeric vector)
containing the ability values at which to compute CSEM.</dd>
<dt>ip</dt>
<dd>A data frame or matrix of item parameters. Columns are interpreted
in the same way as in <code>info()</code>:<ul>
<li>3 columns: <code>b</code>, <code>a</code>, <code>c</code> (3PL; <code>a</code> on the <code>D = 1.702</code> metric),</li>
<li>2 columns: <code>b</code>, <code>a</code> (2PL; <code>c</code> internally set to 0),</li>
<li>1 column: <code>b</code> (1PL/Rasch; <code>a = 1</code>, <code>c = 0</code>).</li>
</ul></dd>
<dt>est</dt>
<dd>A character string specifying the estimation method:
<code>"MLE"</code> for maximum likelihood or <code>"EAP"</code> for empirical Bayes.</dd></dl>

Arguments

CSEM of IRT Model via Information — csem_info

<dl>

<dt>theta</dt>
<dd>A numeric vector (or object coercible to a numeric vector)
containing the ability values at which to compute CSEM.</dd>


<dt>ip</dt>
<dd>A data frame or matrix of item parameters. Columns are interpreted
in the same way as in <code>info()</code>:<ul>
<li>3 columns: <code>b</code>, <code>a</code>, <code>c</code> (3PL; <code>a</code> on the <code>D = 1.702</code> metric),</li>
<li>2 columns: <code>b</code>, <code>a</code> (2PL; <code>c</code> internally set to 0),</li>
<li>1 column: <code>b</code> (1PL/Rasch; <code>a = 1</code>, <code>c = 0</code>).</li>
</ul></dd>


<dt>est</dt>
<dd>A character string specifying the estimation method:
<code>"MLE"</code> for maximum likelihood or <code>"EAP"</code> for empirical Bayes.</dd>

</dl>

csem_info: CSEM of IRT Model via Information

Description

Usage

Value

Arguments