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آزمون Jonckheere-Terpstra برای جایگزین‌های مرتب×آزمون یو مان-ویتنی×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19521947
پدیدآورA. R. Jonckheere and T. J. TerpstraH. B. Mann & D. R. Whitney
نوعNonparametric trend testNonparametric two-group comparison
منبع بنیادینJonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145. DOI ↗Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60. DOI ↗
نام‌های دیگرJonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groupsMann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
مرتبط54
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 Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed.
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ScholarGateمقایسهٔ روش‌ها: Jonckheere-Terpstra Test · Mann-Whitney U test. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare