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Simulation study of the tests of uniform association based on the power-divergence. (English) Zbl 1119.62054

Summary: A simulation study is presented to analyze the behavior of the family of test statistics proposed by J. Conde and M. Salicrú [Uniform association in contingency tables associated to Csiszár divergence. Stat. Probab. Lett., 37, 149-154 (1998; Zbl 0905.62064)] using the \(\phi\)-divergence measures, that include as special case the power-divergence [N. Cressie and T.R.C. Read, Multinomial goodness-of-fit tests. J. R. Stat. Soc., Ser. B 46, 440-464 (1984; Zbl 0571.62017)] for the analysis of uniform association between two classification processes, based on the local odd ratios. For the above test statistics the significance level and its power are evaluated for different sample sizes when we consider a \(3 \times 2\) contingency table.

MSC:

62H17 Contingency tables
62G10 Nonparametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
65C60 Computational problems in statistics (MSC2010)
62F03 Parametric hypothesis testing
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