手法を比較

	Dunn's Multiple Comparison Test	ボンフェローニ補正
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1964	1961
提唱者	Olive Jean Dunn	Carlo Emilio Bonferroni; formalized for multiple comparisons by Olive Jean Dunn
種類	Nonparametric pairwise comparison	Family-wise error rate (FWER) correction
原典	Dunn, O.J. (1964). Multiple Comparisons Using Rank Sums. Technometrics, 6(3), 241–252.	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.
別名	Dunn's post-hoc test, Kruskal-Wallis post-hoc, Dunn Testi — Kruskal-Wallis Post-Hoc	Bonferroni adjustment, Bonferroni method, Bonferroni procedure, FWER correction
関連	5	5
概要	Dunn's test is a nonparametric post-hoc procedure introduced by Olive Jean Dunn in 1964 to identify which specific pairs of groups differ significantly after a Kruskal-Wallis test has returned a significant overall result. It compares groups pairwise using rank sums and applies a multiple-comparison correction — most commonly Bonferroni or Holm — to control the family-wise error rate.	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.