an:04080670
Zbl 0661.62067
Hochberg, Yosef
A sharper Bonferroni procedure for multiple tests of significance
EN
Biometrika 75, No. 4, 800-802 (1988).
00168969
1988
j
62J15 62F03
familywise error rate; hypotheses-free association; strong and weak control; multiple comparison problems; Bonferroni inequality; improved Bonferroni procedure; multiple tests of significance; p-values; sequentially rejective procedure
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 \textit{S. Holm}'s sequentially rejective procedure [Scand. J. Statistics, Theory Appl. 6, 65-70 (1979; Zbl 0402.62058)].
D.Rasch
Zbl 0402.62058