# zbMATH — the first resource for mathematics

A sharper Bonferroni procedure for multiple tests of significance. (English) Zbl 0661.62067
For multiple comparison problems the Bonferroni inequality ensures that the probability of rejecting at least one of m hypotheses when all are true is not greater than $$\alpha$$ if each specific hypothesis is rejected with a risk of the first kind not greater than $$\alpha$$ /m.
In the present paper a simple improved Bonferroni procedure for multiple tests of significance based on individual p-values is derived and it is shown that this procedure is sharper than S. Holm’s sequentially rejective procedure [Scand. J. Statistics, Theory Appl. 6, 65-70 (1979; Zbl 0402.62058)].
Reviewer: D.Rasch

##### MSC:
 62J15 Paired and multiple comparisons; multiple testing 62F03 Parametric hypothesis testing
Full Text: