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آزمون یو مان-ویتنی×آزمون تی نمونه‌های مستقل×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19471908
پدیدآورH. B. Mann & D. R. WhitneyStudent (W. S. Gosset)
نوعNonparametric two-group comparisonParametric mean comparison
منبع بنیادینMann, 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 ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
نام‌های دیگرMann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testistudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
مرتبط44
خلاصهThe 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.The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.
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ScholarGateمقایسهٔ روش‌ها: Mann-Whitney U test · Independent t-test. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare