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Mediaanin absoluuttisen poikkeaman (MAD) estimointi×Robust ANOVA (Welch & Trimmed Mean)×
TieteenalaTilastotiedeTilastotiede
MenetelmäperheRegression modelRegression model
Syntyvuosi19741951
KehittäjäHampel (influence-curve treatment); classical robust statisticsWelch (1951); robust trimmed-mean approach popularised by Wilcox
TyyppiRobust scale estimatorRobust one-way analysis of variance
AlkuperäislähdeHampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗
Rinnakkaisnimetmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) TahminiWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)
Liittyvät55
TiivistelmäMedian Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.Robust 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.
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ScholarGateVertaile menetelmiä: MAD Estimation · Robust ANOVA. Haettu 2026-06-18 osoitteesta https://scholargate.app/fi/compare