手法を比較

	Van der Waerden Normal Scores Test	スケール差のシーゲル-デューキー検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1952	1960
提唱者	Bartel Leendert van der Waerden	Sidney Siegel & John W. Tukey
種類	Nonparametric k-sample comparison via normal scores	Nonparametric scale comparison
原典	van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458.	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.
別名	normal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal Skor	Siegel-Tukey rank test, nonparametric scale test, Siegel-Tukey Testi — Ölçek Farklılığı
関連	6	2
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 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.