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| 稳健 Kendall's Tau 秩相关× | 稳健皮尔逊相关系数× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1990s–2000s | 1970s–1990s |
| 提出者≠ | Rand Wilcox; Croux & Dehon (robust extensions) | Rand R. Wilcox and predecessors in robust statistics |
| 类型≠ | Robust rank correlation | Robust bivariate association measure |
| 开创性文献 | 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 |
| 别名 | robust tau, skipped Kendall's tau, Winsorized Kendall's tau, outlier-resistant rank correlation | winsorized correlation, percentage bend correlation, robust r, outlier-resistant correlation |
| 相关≠ | 5 | 3 |
| 摘要≠ | 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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