Unimprovability of the Bonferroni procedure in the class of general step-up multiple testing procedures

DOI10.1016/J.SPL.2006.07.001zbMath1106.62073OpenAlexW2086015553MaRDI QIDQ871024

Alexander Ya. Gordon

Publication date: 15 March 2007

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2006.07.001

zbMATH Keywords

\(p\)-valuefamily-wise error ratemultiple hypothesis testingHolm procedurestep-up procedurestep-down procedureBonferroni procedure

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Paired and multiple comparisons; multiple testing (62J15)

Related Items (6)

A sharp upper bound for the expected number of false rejections ⋮ Smoothing of stepwise multiple testing procedures ⋮ Optimality of the Holm procedure among general step-down multiple testing procedures ⋮ A new optimality property of the Holm step-down procedure ⋮ Inequalities between generalized familywise error rates of a multiple testing procedure ⋮ Closure properties of classes of multiple testing procedures

Cites Work

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• Multiple hypothesis testing in microarray experiments.
• A step-down multiple hypotheses testing procedure that controls the false discovery rate under independence.
• A sharper Bonferroni procedure for multiple tests of significance
• Testing Statistical Hypotheses

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