مقایسهٔ روش‌ها

	آزمون تی ولش (واریانس‌های نابرابر)	آزمون یو مان-ویتنی
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1947	1947
پدیدآور	B. L. Welch	H. B. Mann & D. R. Whitney
نوع	Parametric mean comparison (unequal variances)	Nonparametric two-group comparison
منبع بنیادین	Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35.	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.
نام‌های دیگر	unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)	Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
مرتبط	4	4
خلاصه	Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread.	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.