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Biometrika 1988 75(2):383-386; doi:10.1093/biomet/75.2.383
© 1988 by Biometrika Trust
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MISCELLANEA

A stagewise rejective multiple test procedure based on a modified Bonferroni test

G. HOMMEL

Institut für Medizinische Statistik und Dokumentation, University of Mainz D-6500 Mainz, Federal Republic of Germany

Simes (1986) has proposed a modified Bonferroni procedure for the test of an overall hypothesis which is the combination of n individual hypotheses. In contrast to the classical Bonferroni procedure, it is not obvious how statements about individual hypotheses are to be made for this procedure. In the present paper a multiple test procedure allowing statements on individual hypotheses is proposed. It is based on the principle of closed test procedures (Marcus, Peritz & Gabriel, 1976) and controls the multiple level {alpha}.

Key Words: Closed test procedure • Control of multiple level • Modified Bonferroni procedure • Multiple test procedure • Quasi-coherence


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