Transformed statistics for tests of conditional independence in J×K×L contingency tables

Nobuhiro Taneichi, Yuri Sekiya and Jun Toyama

Journal of Multivariate Analysis, 2019, vol. 171, issue C, 193-208

Abstract: Tests of the hypothesis of conditional independence in J×K×L contingency tables are considered. An expression to approximate the null distribution of the test statistics is derived. Using this expression, transformed statistics are obtained which converge to a chi-square limiting distribution faster than the original statistics do. Simulations are used to compare the transformed statistics with the original ones, and transformed statistics are proposed based on a Bartlett-type adjustment. Through this work and earlier ones, we cover testing hierarchical loglinear models in three-way tables except for a model having three interaction terms.

Keywords: Bartlett adjustment; Bartlett-type adjustment; Chi-square limiting distribution; Improved transformation; Test of conditional independence; Three-way contingency table (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:171:y:2019:i:c:p:193-208

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DOI: 10.1016/j.jmva.2018.12.001

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