论文信息 - A stagewise rejective multiple test procedure based on a modified Bonferroni test

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

SUMMARY 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 a.

G. Hommel

[1] K. Gabriel,et al. SIMULTANEOUS TEST PROCEDURES-SOME THEORY OF MULTIPLE COMPARISONS' , 1969 .

[2] K. Gabriel,et al. On closed testing procedures with special reference to ordered analysis of variance , 1976 .

[3] B. Rüger. Das maximale signifikanzniveau des Tests: “LehneHo ab, wennk untern gegebenen tests zur ablehnung führen” , 1978 .

[4] S. Holm. A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[5] G. Hommel. Tests of the overall hypothesis for arbitrary dependence structures , 1983 .

[6] G. Hommel. Multiple test procedures for arbitrary dependence structures , 1986 .

[7] J. Shaffer. Modified Sequentially Rejective Multiple Test Procedures , 1986 .

[8] R. Simes,et al. An improved Bonferroni procedure for multiple tests of significance , 1986 .