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Welch-t-Test (ungleiche Varianzen)×Einfaktorielle Varianzanalyse×
FachgebietStatistikStatistik
FamilieHypothesis testHypothesis test
Entstehungsjahr19471925
UrheberB. L. WelchRonald A. Fisher
TypParametric mean comparison (unequal variances)Parametric mean comparison
Wegweisende QuelleWelch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
Aliasnamenunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
Verwandt44
ZusammenfassungWelch'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.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.
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ScholarGateMethoden vergleichen: Welch t-test · One-way ANOVA. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare