手法を比較

	順序代替仮説に対するJonckheere-Terpstra検定	Friedman test
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1952	1937
提唱者	A. R. Jonckheere and T. J. Terpstra	Milton Friedman
種類	Nonparametric trend test	Nonparametric repeated-measures comparison (by ranks)
原典	Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145.	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.
別名	Jonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups	Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
関連	5	2
概要	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.	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.