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| Tương quan thứ hạng Kendall's Tau mạnh mẽ× | Kiểm định U Mann-Whitney Mạnh mẽ× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1990s–2000s | 1947 / 2003 |
| Người khởi xướng≠ | Rand Wilcox; Croux & Dehon (robust extensions) | Rand Wilcox (robust extensions); original test by Mann & Whitney (1947) |
| Loại≠ | Robust rank correlation | Robust nonparametric two-group comparison |
| Công trình gốc≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Wilcox, R. R. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd ed.). Academic Press. ISBN: 978-0127515427 |
| Tên gọi khác | robust tau, skipped Kendall's tau, Winsorized Kendall's tau, outlier-resistant rank correlation | robust Wilcoxon rank-sum test, robust two-sample rank test, outlier-resistant Mann-Whitney test, robust nonparametric two-group comparison |
| Liên quan≠ | 5 | 1 |
| Tóm tắt≠ | 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 Mann-Whitney U test is a nonparametric two-group comparison that combines the rank-based logic of the classic Mann-Whitney U test with modern robust techniques — such as outlier screening, trimmed means, or robust variance estimation — to produce reliable inferences when data contain extreme values, heavy-tailed distributions, or other violations that compromise the standard test. |
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