مقایسهٔ روش‌ها

	تحلیل واریانس ولچ	تحلیل واریانس یک‌طرفه	آزمون تی ولش (واریانس‌های نابرابر)
حوزه	آمار	آمار	آمار
خانواده	Hypothesis test	Hypothesis test	Hypothesis test
سال پیدایش	1951	1925	1947
پدیدآور	B. L. Welch	Ronald A. Fisher	B. L. Welch
نوع	Parametric mean comparison (heteroscedastic)	Parametric mean comparison	Parametric mean comparison (unequal variances)
منبع بنیادین	Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336.	Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.	Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35.
نام‌های دیگر	Welch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA	one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA	unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
مرتبط	3	4	4
خلاصه	Welch ANOVA is a parametric hypothesis test that compares the means of three or more independent groups when their variances are not equal. Introduced by B. L. Welch in 1951, it replaces classic one-way ANOVA whenever the homogeneity-of-variance assumption fails, while still requiring approximately normal data.	One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.	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.