方法对比

	范德瓦尔登正态分数检验	Friedman 检验
领域	统计学	统计学
方法族	Hypothesis test	Hypothesis test
起源年份	1952	1937
提出者	Bartel Leendert van der Waerden	Milton Friedman
类型	Nonparametric k-sample comparison via normal scores	Nonparametric repeated-measures comparison (by ranks)
开创性文献	van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458.	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.
别名	normal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal Skor	Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
相关	6	2
摘要	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 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.