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| Angepasster Boxplot für schiefe Verteilungen× | Sn and Qn Scale Estimators× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 2008 | 1993 |
| Urheber≠ | Hubert & Vandervieren | Rousseeuw & Croux |
| Typ≠ | Robust outlier detection / descriptive visualization | Robust scale estimator |
| Wegweisende Quelle≠ | Hubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗ | Rousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283. DOI ↗ |
| Aliasnamen≠ | adjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot) | Sn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | The Adjusted Boxplot is a robust descriptive tool introduced by Hubert and Vandervieren (2008) that corrects the classical IQR-based boxplot for skewness using the medcouple statistic, reducing the false labelling of outliers in asymmetric data. | Sn and Qn are robust estimators of scale (spread) proposed by Rousseeuw and Croux (1993) as alternatives to the median absolute deviation (MAD). Both attain a 50% breakdown point while delivering higher statistical efficiency than MAD, so they measure dispersion accurately even when the data contain outliers. |
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