手法を比較

	Van der Waerden Normal Scores Test	順序代替仮説に対するJonckheere-Terpstra検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1952	1952
提唱者	Bartel Leendert van der Waerden	A. R. Jonckheere and T. J. Terpstra
種類	Nonparametric k-sample comparison via normal scores	Nonparametric trend test
原典	van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458.	Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145.
別名	normal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal Skor	Jonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups
関連	6	5
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 Jonckheere-Terpstra test is a nonparametric hypothesis test that detects a monotone trend across k ordered groups — testing whether the outcome rises (or falls) systematically as the group order increases. Developed independently by T. J. Terpstra (1952) and A. R. Jonckheere (1954), it is the directional, ordered-alternative counterpart to the Kruskal-Wallis test.