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Welch-t-Test (ungleiche Varianzen)×Unabhängiger t-Test für zwei Stichproben×
FachgebietStatistikStatistik
FamilieHypothesis testHypothesis test
Entstehungsjahr19471908
UrheberB. L. WelchStudent (W. S. Gosset)
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 ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
Aliasnamenunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
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.The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.
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ScholarGateMethoden vergleichen: Welch t-test · Independent t-test. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare