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Biometrika 1988 75(4):800-802; doi:10.1093/biomet/75.4.800
© 1988 by Biometrika Trust
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MISCELLANEA

A sharper Bonferroni procedure for multiple tests of significance

YOSEF HOCHBERG

Department of Statistics, School of Mathematical Sciences, Tel Aviv University Ramat-Aviv, 69978, Israel

A simple procedure for multiple tests of significance based on individual p-values is derived. This simple procedure is sharper than Holm's (1979) sequentially rejective procedure. Both procedures contrast the ordered p- values with the same set of critical values. Holm's procedure rejects an hypothesis only if its p-value and each of the smaller p-values are less than their corresponding critical-values. The new procedure rejects all hypotheses with smaller or equal p-values to that of any one found less than its critical value.

Key Words: Familywise error rate • Hypotheses-free association • p-values • Strong and weak control


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