MutualInformation

Mutual Information is a measure that represents the degree of interdependence
between two items. This function is applicable only to binary response data.
The measure is calculated using the joint probability distribution of responses
between item pairs and their marginal probabilities.

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

MutualInformation function

<dl><dt>U</dt>
<dd>U is a data matrix of the type matrix or data.frame.</dd>
<dt>na</dt>
<dd>na argument specifies the numbers or characters to be treated as missing values.</dd>
<dt>Z</dt>
<dd>Z is a missing indicator matrix of the type matrix or data.frame</dd>
<dt>w</dt>
<dd>w is item weight vector</dd>
<dt>...</dt>
<dd>Internal parameters for maintaining compatibility with the binary data
processing system. Not intended for direct use.</dd></dl>

Arguments

Mutual Information — MutualInformation

<dl>

<dt>U</dt>
<dd>U is a data matrix of the type matrix or data.frame.</dd>


<dt>na</dt>
<dd>na argument specifies the numbers or characters to be treated as missing values.</dd>


<dt>Z</dt>
<dd>Z is a missing indicator matrix of the type matrix or data.frame</dd>


<dt>w</dt>
<dd>w is item weight vector</dd>


<dt>...</dt>
<dd>Internal parameters for maintaining compatibility with the binary data
processing system. Not intended for direct use.</dd>

</dl>

MutualInformation: Mutual Information

Description

Usage

Value

Arguments

Examples