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Scheffé-test×Bonferroni-korrektion×
FagområdeStatistikStatistik
FamilieHypothesis testHypothesis test
Oprindelsesår19531961
OphavspersonHenry SchefféCarlo Emilio Bonferroni; formalized for multiple comparisons by Olive Jean Dunn
TypePost-hoc multiple comparison testFamily-wise error rate (FWER) correction
Oprindelig kildeScheffé, H. (1953). A method for judging all contrasts in the analysis of variance. Biometrika, 40(1–2), 87–110. DOI ↗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. link ↗
AliasserScheffe test, Scheffe method, Scheffé post-hoc test, S-methodBonferroni adjustment, Bonferroni method, Bonferroni procedure, FWER correction
Relaterede35
ResuméThe Scheffé test is a post-hoc multiple comparison procedure that controls the family-wise error rate simultaneously for all possible linear contrasts among group means following a significant ANOVA. Introduced by Henry Scheffé in his landmark 1953 Biometrika paper, it is the most general and conservative standard post-hoc method, remaining valid regardless of how many or which contrasts are examined after seeing the data.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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ScholarGateSammenlign metoder: Scheffé Test · Bonferroni Correction. Hentet 2026-06-17 fra https://scholargate.app/da/compare