เปรียบเทียบวิธี

	การวิเคราะห์ความแปรปรวนของเวลช์ (Welch's Analysis of Variance)	การทดสอบ H แบบ Kruskal-Wallis	การวิเคราะห์ความแปรปรวนทางเดียว	การทดสอบทีของเวลช์ (ความแปรปรวนไม่เท่ากัน)
สาขาวิชา	สถิติศาสตร์	สถิติศาสตร์	สถิติศาสตร์	สถิติศาสตร์
ตระกูล	Hypothesis test	Hypothesis test	Hypothesis test	Hypothesis test
ปีกำเนิด	1951	1952	1925	1947
ผู้ริเริ่ม	B. L. Welch	William Kruskal & W. Allen Wallis	Ronald A. Fisher	B. L. Welch
ประเภท	Parametric mean comparison (heteroscedastic)	Nonparametric group comparison	Parametric mean comparison	Parametric mean comparison (unequal variances)
แหล่งต้นตำรับ	Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336.	Kruskal, W. H. & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621.	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.
ชื่อเรียกอื่น	Welch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA	Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi	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)
ที่เกี่ยวข้อง	3	5	4	4
สรุป	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.	The Kruskal-Wallis H test is a nonparametric hypothesis test that compares three or more independent groups to decide whether their distributions (typically their medians) differ. Introduced by William Kruskal and W. Allen Wallis in 1952, it works on ranks rather than raw values and is the distribution-free counterpart to one-way ANOVA.	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.