© 1990 by Biometrika Trust
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A sequentially rejective test procedure based on a modified Bonferroni inequality
Rorer Central Research 800 Business Center Drive, Horsham, Pennsylvania 19044, U.S.A.
A sharper Bonferroni procedure for multiple tests of significance is derived. This procedure is an improvement of Hochberg's (1988) procedure which contrasts the individual P-values with corresponding critical points. It is shown that Hochberg's original procedure is conservative, and can be made more powerful by enlarging the rejection region so that the type-one error is exactly at the nominal level. It is also shown that the modified procedure retains all the desired properties of the original procedure.
Key Words: Consonant test Multiple tests of significance Strong control of family-wise error rate.
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