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Levene- und Brown-Forsythe-Test auf Varianzgleichheit×Bootstrap-Inferenz×
FachgebietStatistikStatistik
FamilieRegression modelRegression model
Entstehungsjahr19601979
UrheberHoward Levene; Morton B. Brown and Alan B. ForsytheBradley Efron
TypHomogeneity of variance test (robust)Resampling-based inference
Wegweisende QuelleLevene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press. link ↗Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗
AliasnamenLevene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testibootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı
Verwandt55
ZusammenfassungThe 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.Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples.
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ScholarGateMethoden vergleichen: Levene and Brown-Forsythe Test · Bootstrap Inference. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare