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Scheffé Test×Bonferroni 보정×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도19531961
창시자Henry SchefféCarlo Emilio Bonferroni; formalized for multiple comparisons by Olive Jean Dunn
유형Post-hoc multiple comparison testFamily-wise error rate (FWER) correction
원전Scheffé, 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 ↗
별칭Scheffe test, Scheffe method, Scheffé post-hoc test, S-methodBonferroni adjustment, Bonferroni method, Bonferroni procedure, FWER correction
관련35
요약The 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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