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| Correlazione Robusta di Kendall Tau× | Correlazione di Pearson robusta× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Hypothesis test | Hypothesis test |
| Anno di origine≠ | 1990s–2000s | 1970s–1990s |
| Ideatore≠ | Rand Wilcox; Croux & Dehon (robust extensions) | Rand R. Wilcox and predecessors in robust statistics |
| Tipo≠ | Robust rank correlation | Robust bivariate association measure |
| Fonte seminale | 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 |
| Alias | robust tau, skipped Kendall's tau, Winsorized Kendall's tau, outlier-resistant rank correlation | winsorized correlation, percentage bend correlation, robust r, outlier-resistant correlation |
| Correlati≠ | 5 | 3 |
| Sintesi≠ | 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. | The robust Pearson correlation is an outlier-resistant measure of linear association between two continuous variables. By applying Winsorizing, trimming, or percentage-bend transformations before computing the classic Pearson r, it retains the interpretability of a correlation coefficient while dramatically reducing the distortion caused by extreme values. |
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