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RESEARCH PRODUCT

Improvements and Modifications of Tarone's Multiple Test Procedure for Discrete Data

Frank KrummenauerGerhard Hommel

subject

Statistics and ProbabilityGeneral Immunology and MicrobiologyBiometricsComputer scienceTest proceduresApplied MathematicsInferenceGeneral MedicineExtension (predicate logic)General Biochemistry Genetics and Molecular Biologysymbols.namesakeBonferroni correctionMonotone polygonsymbolsGeneral Agricultural and Biological SciencesAlgorithmStatistical hypothesis testing

description

Tarone (1990, Biometrics 46, 515-522) proposed a multiple test procedure for discrete test statistics improving the usual Bonferroni procedure. However, Tarone's procedure is not monotone depending on the predetermined multiple level a. Roth (1998, Journal of Statistical Planning and Inference, in press) developed a monotone version of Tarone's procedure. We present a similar procedure that is both monotone and an improvement of Tarone's proposal. Based on this extension, we derive a step-down procedure that is a corresponding improvement of Holm's (1979, Scandinavian Journal of Statistics 6, 65-70) sequentially rejective procedure. It is shown how adjusted p-values can be computed for the monotone procedures. Finally, the described ideas are applied to the concept of Riiger tests.

yearjournalcountryeditionlanguage
1998-06-01Biometrics
https://doi.org/10.2307/3109773