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| Robuste Spearman-Korrelation× | Robuste Kendall's Tau-Rangkorrelation× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Hypothesis test | Hypothesis test |
| Entstehungsjahr | 1990s–2000s | 1990s–2000s |
| Urheber≠ | Rand R. Wilcox (robust extensions); Charles Spearman (base method, 1904) | Rand Wilcox; Croux & Dehon (robust extensions) |
| Typ≠ | Robust nonparametric correlation | Robust rank correlation |
| Wegweisende Quelle | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| Aliasnamen | Winsorized Spearman correlation, robust rank correlation, trimmed Spearman correlation, outlier-resistant Spearman | robust tau, skipped Kendall's tau, Winsorized Kendall's tau, outlier-resistant rank correlation |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | Robust Spearman correlation is an outlier-resistant measure of monotonic association between two variables. It applies robustification strategies — such as Winsorizing extreme ranks or using the percentage-bend approach — to protect Spearman's rho against distortion from outliers or heavy-tailed distributions, while retaining its nonparametric rank-based character. | Robust Kendall's tau estimates the monotone association between two variables using rank-based concordance counts, but augments the standard procedure with outlier detection or Winsorization so that a small number of extreme observations cannot distort the result. It is appropriate when data are ordinal or continuous and bivariate outliers are plausible. |
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