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January 1, 1988Biometrika

A stagewise rejective multiple test procedure based on a modified Bonferroni test

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Authors

GHGerhard HommelZimmer Biomet (United States)

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Implication

Methodological study demonstrates a stagewise rejective testing procedure using modified Bonferroni adjustments, highlighting improved statistical power while controlling familywise error.

Key Points

  • To develop a stagewise rejective multiple comparison procedure that improves statistical power over standard Bonferroni methods while maintaining strict familywise error rate control.
  • Formulated a closed testing framework incorporating modified Bonferroni-type inequalities for testing multiple null hypotheses.
  • Derived a stepwise rejection algorithm based on ordered p-values to evaluate subsets of tested hypotheses.
  • Established a testing procedure that rejects more false null hypotheses than classical single-step Bonferroni or Holm methods.
  • Demonstrated analytical control of the overall familywise type I error rate under specified dependence structures among test statistics.

Cite This Study

Gerhard Hommel (1988) studied this question.

synapsesocial.com/papers/69d7e40ef39344339dd18c43https://doi.org/10.1093/biomet/75.2.383
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Also Consider

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  1. 1A Multiple Comparison Procedure for Comparing Several Treatments with a Control1955 · 5,927 citations
  2. 2On closed testing procedures with special reference to ordered analysis of variance1976 · 1,416 citations
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  5. 5Modified Sequentially Rejective Multiple Test Procedures1986 · 774 citations