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آزمون رتبه علامت‌دار ویلکاکسون×آزمون یو مان-ویتنی×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19451947
پدیدآورFrank WilcoxonH. B. Mann & D. R. Whitney
نوعNonparametric paired comparisonNonparametric two-group comparison
منبع بنیادینWilcoxon, F. (1945). Individual comparisons by ranking methods. Biometrics Bulletin, 1(6), 80–83. 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 دیگرWilcoxon matched-pairs signed-rank test, signed-rank test, Wilcoxon İşaretli Sıra TestiMann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
مرتبط44
خلاصهThe Wilcoxon signed-rank test is the nonparametric alternative to the paired t-test, comparing two related measurements on the same subjects to decide whether their typical difference is zero. It was introduced by Frank Wilcoxon in 1945 and works on continuous or ordinal data without assuming normality.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: Wilcoxon signed-rank test · Mann-Whitney U test. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare