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Testing marginal homogeneity in clustered matched-pair data. (English) Zbl 1329.62344

Summary: For general matched-pair data with polytomous responses in biomedical research, the Stuart-Maxwell test [A. Stuart, Biometrika 42, 412–416 (1955; Zbl 0066.12502); A. E. Maxwell, “Comparing the classification of subjects by two independent judges”, Br. J. Psychiatry 116, No. 535, 651–655 (1970; doi:10.1192/bjp.116.535.651)] and the Bhapkar test [V. P. Bhapkar, “A note on the equivalence of two test criteria for hypotheses in categorical data”, J. Am. Stat. Assoc. 61, No. 313, 228–235 (1966; doi:10.1080/01621459.1966.10502021)] are commonly used for evaluating marginal homogeneity. For data collected in clusters, we propose extensions for statistical inference without structural within-cluster correlation or distributional assumptions. Meanwhile, two extended Obuchowski tests are proposed based on the work of N. A. Obuchowski [“On the comparison of correlated proportions for clustered data”, Stat. Med. 17, No. 13, 1495–1507 (1998; doi:10.1002/(SICI)1097-0258(19980715)17:13<1495::AID-SIM863>3.0.CO;2-I)] generally applied to clustered matched-pair binary data. A Monte Carlo simulation study illustrates that our proposed extension to the Stuart-Maxwell test and the two extended Obuchowski tests perform well with respect to the power and the nominal size, though the extended Bhapkar test is asymptotically equivalent to the other three tests, it is not recommended in practice due to its being liberal in the nominal size.

MSC:

62J15 Paired and multiple comparisons; multiple testing
62P10 Applications of statistics to biology and medical sciences; meta analysis

Citations:

Zbl 0066.12502
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References:

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