手法を比較

	Page's L検定（Page's L Test for Ordered Alternatives）	Friedman test
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1963	1937
提唱者	Ellis Batten Page	Milton Friedman
種類	Nonparametric trend test	Nonparametric repeated-measures comparison (by ranks)
原典	Page, E. B. (1963). Ordered hypotheses for multiple treatments: a significance test for linear ranks. Journal of the American Statistical Association, 58(301), 216–230.	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	page trend test, page ordered alternatives test, Page L Testi — Sıralı Alternatifler	Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
関連	1	2
概要	Page's L test is a nonparametric hypothesis test designed for repeated-measures (randomized complete block) designs in which the researcher has a specific, pre-stated ordering hypothesis across k ≥ 3 conditions. Introduced by Ellis Batten Page in 1963, it is more powerful than the Friedman test when the alternative hypothesis specifies a monotone trend rather than a general difference among conditions.	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.