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آزمون Jonckheere-Terpstra برای جایگزین‌های مرتب×آزمون فریدمن×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19521937
پدیدآورA. R. Jonckheere and T. J. TerpstraMilton Friedman
نوعNonparametric trend testNonparametric repeated-measures comparison (by ranks)
منبع بنیادینJonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145. DOI ↗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. DOI ↗
نام‌های دیگرJonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groupsFriedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
مرتبط52
خلاصهThe 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.
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ScholarGateمقایسهٔ روش‌ها: Jonckheere-Terpstra Test · Friedman test. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare