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Дисперсионный анализ Уэлча×t-критерий Уэлча (неравные дисперсии)×
ОбластьСтатистикаСтатистика
СемействоHypothesis testHypothesis test
Год появления19511947
Автор методаB. L. WelchB. L. Welch
ТипParametric mean comparison (heteroscedastic)Parametric mean comparison (unequal variances)
Основополагающий источникWelch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. 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 ↗
Другие названияWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVAunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
Связанные34
СводкаWelch 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.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.
ScholarGateНабор данных
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  2. 1 Источники
  3. PUBLISHED
  1. v1
  2. 1 Источники
  3. PUBLISHED

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ScholarGateСравнение методов: Welch ANOVA · Welch t-test. Получено 2026-06-19 из https://scholargate.app/ru/compare