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

G Hommel - Biometrika, 1988 - academic.oup.com
G Hommel
Biometrika, 1988academic.oup.com
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 α.
Abstract
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 α.
Oxford University Press