手法を比較

	完全に無作為化デザイン（CRD）	クラスカル・ウォリス H検定	一元配置分散分析
分野	実験計画法	統計学	統計学
系統	Hypothesis test	Hypothesis test	Hypothesis test
提唱年	1935	1952	1925
提唱者	R. A. Fisher	William Kruskal & W. Allen Wallis	Ronald A. Fisher
種類	Parametric group comparison via one-way ANOVA	Nonparametric group comparison	Parametric mean comparison
原典	Montgomery, D.C. (2017). Design and Analysis of Experiments. Wiley. ISBN: 978-1119320937	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.	Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.
別名	CRD, completely randomised design, one-way experimental design, Tam Tesadüf Deneme Deseni (CRD)	Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi	one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
関連	3	5	4
概要	The completely randomized design is the most fundamental experimental design, in which experimental units are assigned to treatments entirely at random with no restrictions. Analysed by one-way ANOVA, it was formalised by R. A. Fisher in the 1930s and remains the reference starting point for experimental research whenever the experimental material is homogeneous and nuisance variation is absent or negligible.	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.	One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.