chatterjee_matrix

Computes the p x p asymmetric matrix of Chatterjee's xi correlations
between all item pairs. Entry <code>[j, k]</code> is xi(item_j, item_k), which in
general differs from xi(item_k, item_j); this asymmetry is what
enables direction detection in subsequent graph-construction steps.
Each off-diagonal entry is computed by <code>xi_stable()</code> to average
over tie-breaking.

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

chatterjee_matrix function

<dl><dt>U</dt>
<dd>Either an exametrika object or raw data.</dd>
<dt>na</dt>
<dd>Values to be treated as missing.</dd>
<dt>Z</dt>
<dd>Missing indicator matrix.</dd>
<dt>w</dt>
<dd>Item weight vector.</dd>
<dt>B</dt>
<dd>Number of bootstrap replications per pair. Default 1000.</dd>
<dt>seed</dt>
<dd>Optional integer seed for reproducibility.</dd>
<dt>verbose</dt>
<dd>Logical. If TRUE, progress messages are displayed.</dd></dl>

Arguments

Pairwise Chatterjee's xi correlation matrix — chatterjee_matrix

<dl>

<dt>U</dt>
<dd>Either an exametrika object or raw data.</dd>


<dt>na</dt>
<dd>Values to be treated as missing.</dd>


<dt>Z</dt>
<dd>Missing indicator matrix.</dd>


<dt>w</dt>
<dd>Item weight vector.</dd>


<dt>B</dt>
<dd>Number of bootstrap replications per pair. Default 1000.</dd>


<dt>seed</dt>
<dd>Optional integer seed for reproducibility.</dd>


<dt>verbose</dt>
<dd>Logical. If TRUE, progress messages are displayed.</dd>

</dl>

chatterjee_matrix: Pairwise Chatterjee's xi correlation matrix

Description

Usage

Value

Arguments

Details

References

Examples