手法を比較

	Van der Waerden Normal Scores Test	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	1952	1947
提唱者	Bartel Leendert van der Waerden	H. B. Mann & D. R. Whitney
種類	Nonparametric k-sample comparison via normal scores	Nonparametric two-group comparison
原典	van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458.	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	normal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal Skor	Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
関連	6	4
概要	The Van der Waerden test is a nonparametric k-sample hypothesis test that converts observations into normal scores — the quantiles of a standard normal distribution — before comparing groups. Introduced by Bartel Leendert van der Waerden in 1952, it can achieve higher statistical power than the Kruskal-Wallis test when the underlying distributions are symmetric, making it a compelling bridge between rank-based and parametric methods.	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.