Improving the Power of Bonferroni Adjustments under Joint Normality and Exchangeability

Fuente: arXiv
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Autori principali: Hiltunen, Caleb, Rho, Yeonwoo
Natura: Preprint
Pubblicazione: 2026
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author Hiltunen, Caleb
Rho, Yeonwoo
author_facet Hiltunen, Caleb
Rho, Yeonwoo
contents Bonferroni's correction is a popular tool to address multiplicity but is notorious for its low power when tests are dependent. This paper proposes a practical modification of Bonferroni's correction when test statistics are jointly normal and exchangeable. This method is intuitive to practitioners and achieves higher power in sparse alternatives, as our simulations suggest. We also prove that this method successfully controls the family-wise error rate at any significance level.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20118
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Improving the Power of Bonferroni Adjustments under Joint Normality and Exchangeability
Hiltunen, Caleb
Rho, Yeonwoo
Methodology
Bonferroni's correction is a popular tool to address multiplicity but is notorious for its low power when tests are dependent. This paper proposes a practical modification of Bonferroni's correction when test statistics are jointly normal and exchangeable. This method is intuitive to practitioners and achieves higher power in sparse alternatives, as our simulations suggest. We also prove that this method successfully controls the family-wise error rate at any significance level.
title Improving the Power of Bonferroni Adjustments under Joint Normality and Exchangeability
topic Methodology
url https://arxiv.org/abs/2602.20118