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A computer program for testing average partial association in three-way contingency tables (PARCAT).

J R Landis, M M Cooper, T Kennedy

    Computer Programs in Biomedicine
    |May 1, 1979
    PubMed
    Summary
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    PARCAT is a new computer program for analyzing partial association in three-way contingency tables. It extends the Cochran/Mantel-Haenszel test for ordinal variables, offering a multivariate approach to statistical analysis.

    Area of Science:

    • Statistics
    • Biostatistics
    • Data Analysis

    Background:

    • Analyzing relationships in three-way contingency tables is complex.
    • Existing methods may not fully capture partial associations.
    • Multivariate extensions are needed for nuanced statistical insights.

    Purpose of the Study:

    • To introduce PARCAT, a computer program for average partial association tests.
    • To provide a multivariate extension of the Cochran/Mantel-Haenszel test.
    • To facilitate analysis of relationships between two variables while controlling for a third.

    Main Methods:

    • Implementation of alternative tests for average partial association.
    • Utilizes the product multiple hypergeometric probability model.
    • Assigns scores (uniform, ridits, probits) to ordinally scaled categories.

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    Main Results:

    • PARCAT enables multivariate analysis of contingency tables.
    • The method is equivalent to partial Kruskal-Wallis or Spearman rank correlation tests with specific scoring.
    • Provides a robust framework for controlling covariable effects.

    Conclusions:

    • PARCAT offers a flexible and powerful tool for analyzing complex associations.
    • The program extends established statistical tests to a multivariate context.
    • Applicable to various fields requiring analysis of ordinal and categorical data.