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A Comparison of Tests for Marginal Homogeneity in Square Contingency Tables

โœ Scribed by Prof. Dr. J. Krauth

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
642 KB
Volume
27
Category
Article
ISSN
0323-3847

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โœฆ Synopsis

several asymptotic tats were proposed for testing the null hypothesis of marginal homogeneity in square oontingency tables with r categories. A simulation study was performed for comparing the power at four finite conservative conditional test procedures and of two asymptotic tests for twelve different contingency schemes for small sample sizea. While an asymptotic teat proposed by STUABT (1966) showed a rather satisfectory behaviour for moderate sample sizes, an asymptotic test proposed by BHAFXAB (1966) was quite anticonservative. With no a priori information the performance of (r -1) eimultaneous conditional binomial tests with a Bonferroni adjustment proved to be a quite efficient procedure. With assumptions about where to expect the deviations from the null hypothesis, other procedures favouring the larger or smaller conditional sample sizes, respectively, can have a great efficiency. The procedurea are illustrated by means of a numerical example from clinical psychology.

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