OmegaCoefficient

This function computes Tau-Congeneric Measurement, also known as McDonald's tau coefficient, for a given data set.

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

OmegaCoefficient function

<dl><dt>x</dt>
<dd>This should be a data matrix or a Covariance/Phi/Tetrachoric matrix.</dd>
<dt>na</dt>
<dd>This parameter identifies the numbers or characters that should be treated as missing values when 'x' is a data matrix.</dd>
<dt>Z</dt>
<dd>This parameter represents a missing indicator matrix. It is only needed if 'x' is a data matrix.</dd>
<dt>w</dt>
<dd>This parameter is an item weight vector. It is only required if 'x' is a data matrix.</dd></dl>

Arguments

Omega Coefficient — OmegaCoefficient

<dl>

<dt>x</dt>
<dd>This should be a data matrix or a Covariance/Phi/Tetrachoric matrix.</dd>


<dt>na</dt>
<dd>This parameter identifies the numbers or characters that should be treated as missing values when 'x' is a data matrix.</dd>


<dt>Z</dt>
<dd>This parameter represents a missing indicator matrix. It is only needed if 'x' is a data matrix.</dd>


<dt>w</dt>
<dd>This parameter is an item weight vector. It is only required if 'x' is a data matrix.</dd>

</dl>

OmegaCoefficient: Omega Coefficient

Description

Usage

Value

Arguments

References