手法を比較

	クラスカル・ウォリス H検定	Friedman test
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1952	1937
提唱者	William Kruskal & W. Allen Wallis	Milton Friedman
種類	Nonparametric group comparison	Nonparametric repeated-measures comparison (by ranks)
原典	Kruskal, W. H. & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621.	Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association, 32(200), 675–701.
別名	Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi	Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
関連	5	2
概要	The Kruskal-Wallis H test is a nonparametric hypothesis test that compares three or more independent groups to decide whether their distributions (typically their medians) differ. Introduced by William Kruskal and W. Allen Wallis in 1952, it works on ranks rather than raw values and is the distribution-free counterpart to one-way ANOVA.	The Friedman test is a nonparametric hypothesis test that compares three or more related conditions measured on the same blocks or subjects, serving as the rank-based alternative to repeated-measures ANOVA. It was introduced by Milton Friedman in 1937 and works on ordinal or continuous data without assuming normality.