objective_function_IRT

Log-likelihood function used in the Maximization Step (M-Step).

Implements comprehensive test data engineering methods as described in
Shojima (2022, ISBN:978-9811699856). Provides statistical techniques for
engineering and processing test data: Classical Test Theory (CTT) with
reliability coefficients for continuous ability assessment; Item Response
Theory (IRT) including Rasch, 2PL, and 3PL models with item/test information
functions; Latent Class Analysis (LCA) for nominal clustering; Latent Rank
Analysis (LRA) for ordinal clustering with automatic determination of cluster
numbers; Biclustering methods including infinite relational models for
simultaneous clustering of examinees and items without predefined cluster
numbers; and Bayesian Network Models (BNM) for visualizing inter-item
dependencies. Features local dependence analysis through LRA and biclustering,
parameter estimation, dimensionality assessment, and network structure
visualization for educational, psychological, and social science research.

Koji Kosugi 

exametrika

Test Theory Analysis and Biclustering

objective_function_IRT function

<dl><dt>lambda</dt>
<dd>item parameter vector</dd>
<dt>model</dt>
<dd>2,3,or 4 PL</dd>
<dt>qjtrue</dt>
<dd>correct resp pattern</dd>
<dt>qjfalse</dt>
<dd>incorrect resp pattern</dd>
<dt>quadrature</dt>
<dd>Pattern of a segmented normal distribution.</dd></dl>

Arguments

Log-likelihood function used in the Maximization Step (M-Step). — objective_function_IRT

<dl>

<dt>lambda</dt>
<dd>item parameter vector</dd>


<dt>model</dt>
<dd>2,3,or 4 PL</dd>


<dt>qjtrue</dt>
<dd>correct resp pattern</dd>


<dt>qjfalse</dt>
<dd>incorrect resp pattern</dd>


<dt>quadrature</dt>
<dd>Pattern of a segmented normal distribution.</dd>

</dl>

objective_function_IRT: Log-likelihood function used in the Maximization Step (M-Step).

Description

Usage

Arguments