手法を比較

	スケール差のシーゲル-デューキー検定	マン・ホイットニーのU検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1960	1947
提唱者	Sidney Siegel & John W. Tukey	H. B. Mann & D. R. Whitney
種類	Nonparametric scale comparison	Nonparametric two-group comparison
原典	Siegel, S. & Tukey, J. W. (1960). A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples. Journal of the American Statistical Association, 55(291), 429–444.	Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60.
別名	Siegel-Tukey rank test, nonparametric scale test, Siegel-Tukey Testi — Ölçek Farklılığı	Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
関連	2	4
概要	The Siegel-Tukey test is a nonparametric hypothesis test that detects differences in variability (spread) between two independent groups whose central tendencies are equal or have been equalised. Introduced by Sidney Siegel and John W. Tukey in 1960, it is the nonparametric counterpart of Levene's test and requires no assumption of normality.	The Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed.