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	वेल्च का विचरण विश्लेषण (Welch's Analysis of Variance)	एक-तरफ़ा विचरण विश्लेषण	वेल्च की टी-परीक्षा (असमान प्रसरण)
क्षेत्र	सांख्यिकी	सांख्यिकी	सांख्यिकी
परिवार	Hypothesis test	Hypothesis test	Hypothesis test
उद्भव वर्ष	1951	1925	1947
प्रवर्तक	B. L. Welch	Ronald A. Fisher	B. L. Welch
प्रकार	Parametric mean comparison (heteroscedastic)	Parametric mean comparison	Parametric mean comparison (unequal variances)
मौलिक स्रोत	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.
उपनाम	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)
संबंधित	3	4	4
सारांश	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.