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Bonferroni Correction

The Bonferroni correction is a conservative, universally applicable method for controlling the family-wise error rate (FWER) when conducting multiple simultaneous hypothesis tests. Grounded in Bonferroni's 1936 probability inequality and formalized for multiple comparisons by Olive Jean Dunn in 1961, the procedure divides the target significance level α by the number of tests m, ensuring that the probability of making even one false rejection across the entire family of tests does not exceed α.

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Bonferroni Family-Wise Error Rate Correction

Dossier de méthode taxonomique · hypothesis-test / statistics

Bonferroni, C. E. (1936). Teoria statistica delle classi e calcolo delle probabilità. Pubblicazioni del R Istituto Superiore di Scienze Economiche e Commerciali di Firenze, 8, 3–62. · URL
Dunn, O. J. (1961). Multiple comparisons among means. Journal of the American Statistical Association, 56(293), 52–64. · DOI 10.1080/01621459.1961.10482090
Miller, R. G. (1981). Simultaneous Statistical Inference (2nd ed.). Springer-Verlag. · ISBN 978-1-4613-8124-2

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Méthodes apparentées

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Same method familyBenjamini-Hochberg Proceduremachine-suggested · Relational suggestion, not evidence.Same method familyHolm Correctionmachine-suggested · Relational suggestion, not evidence.Same method familyIndependent t-testmachine-suggested · Relational suggestion, not evidence.Same method familyOne-way ANOVAmachine-suggested · Relational suggestion, not evidence.Same method familyScheffé Testmachine-suggested · Relational suggestion, not evidence.