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| Robuste ANOVA (Welch & Getrimmter Mittelwert)× | Winsorisierte Schätzung× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1951 | 1960 |
| Urheber≠ | Welch (1951); robust trimmed-mean approach popularised by Wilcox | Dixon (1960); robust estimation tradition (Wilcox) |
| Typ≠ | Robust one-way analysis of variance | Robust location/scale estimator |
| Wegweisende Quelle≠ | Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗ | Dixon, W. J. (1960). Simplified Estimation from Censored Normal Samples. Annals of Mathematical Statistics, 31(2), 385-391. DOI ↗ |
| Aliasnamen≠ | Welch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean) | winsorization, winsorized mean, Winsorize Edilmiş Tahmin |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | 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. | Winsorized estimation is a robust technique that reduces the influence of outliers by clamping the extreme percentiles of a distribution to a chosen threshold. Introduced by Dixon (1960) and developed in the robust-estimation tradition of Wilcox, it keeps every observation in the sample rather than discarding any. |
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