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Prueba de Levene y Brown-Forsythe para la igualdad de varianzas×Análisis de Varianza de Welch×
CampoEstadísticaEstadística
FamiliaRegression modelHypothesis test
Año de origen19601951
Autor originalHoward Levene; Morton B. Brown and Alan B. ForsytheB. L. Welch
TipoHomogeneity of variance test (robust)Parametric mean comparison (heteroscedastic)
Fuente seminalLevene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press. link ↗Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗
AliasLevene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans TestiWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA
Relacionados53
ResumenThe Levene and Brown-Forsythe test checks whether two or more groups share the same variance (homogeneity of variance). Levene (1960) built the test on absolute deviations from each group mean, and Brown and Forsythe (1974) made it robust to non-normal data by centring on the group median instead.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.
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ScholarGateComparar métodos: Levene and Brown-Forsythe Test · Welch ANOVA. Recuperado el 2026-06-20 de https://scholargate.app/es/compare