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An empirical investigation of Cressie and Read tests for the hypothesis of independence in three-way contingency tables

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1996
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Kybernetika
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This paper is concerned with comparison of Cressie and Read tests for the hypothesis of independence in three-way contingency tables. A Monte Carlo study is done to empirically compare the power of some members of the family of these tests under various spike alternatives.
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The author is grateful to the referees for valuable comments and suggestions
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N. Cressie, T. R. C. Read: Multinomial goodness of fit tests. J. Roy. Statist. Soc. Ser. B 46 (1984), 440-464. M. Goldstein E. Wolf W. Dillon: On a test of independence for contingency tables. Communications Statist. Theory Methods 2 (1976), 159-169. K. Matusita: Decision rules, based on the distance for problems of fit, two samples and estimation. Ann. Math. Statist. 26 (1964), 631-640. M. C. Pardo: Tests of independence for multidimensional contingency tables based on $(h,\phi)$-divergence measures. Utilitas Math. 48 (1994), 75-91. K. Pearson: On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophy Magazine Series (5) 50 (1900), 157-172. M. Menéndez D. Morales L. Pardo I. Vajda: Divergence-based estimation and testing of statistical models of classification. J.Multivariate Anal. 54 (1995), 2, 329-354.
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