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Robust ANOVA (Welch & Trimmed Mean)×Bootstrap-estimaatti×
TieteenalaTilastotiedeTilastotiede
MenetelmäperheRegression modelRegression model
Syntyvuosi19511979
KehittäjäWelch (1951); robust trimmed-mean approach popularised by WilcoxBradley Efron
TyyppiRobust one-way analysis of varianceResampling-based inference
AlkuperäislähdeWelch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗
RinnakkaisnimetWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı
Liittyvät55
TiivistelmäRobust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads.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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ScholarGateVertaile menetelmiä: Robust ANOVA · Bootstrap Inference. Haettu 2026-06-15 osoitteesta https://scholargate.app/fi/compare