مقایسهٔ روشها
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| آزمون تی نمونههای مستقل× | آزمون یو مان-ویتنی× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Hypothesis test | Hypothesis test |
| سال پیدایش≠ | 1908 | 1947 |
| پدیدآور≠ | Student (W. S. Gosset) | H. B. Mann & D. R. Whitney |
| نوع≠ | Parametric mean comparison | Nonparametric two-group comparison |
| منبع بنیادین≠ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. 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 دیگر≠ | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| مرتبط | 4 | 4 |
| خلاصه≠ | 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. | 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. |
| ScholarGateمجموعهداده ↗ |
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