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Welchs variansanalyse×Enveis variansanalyse×Welch's t-test (ulik varians)×
FagfeltStatistikkStatistikkStatistikk
FamilieHypothesis testHypothesis testHypothesis test
Opprinnelsesår195119251947
OpphavspersonB. L. WelchRonald A. FisherB. L. Welch
TypeParametric mean comparison (heteroscedastic)Parametric mean comparisonParametric mean comparison (unequal variances)
Opprinnelig kildeWelch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
AliasWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVAone-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVAunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
Relaterte344
SammendragWelch 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.
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ScholarGateSammenlign metoder: Welch ANOVA · One-way ANOVA · Welch t-test. Hentet 2026-06-20 fra https://scholargate.app/no/compare