方法对比
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| 稳健 Kendall's Tau 秩相关× | 稳健Mann-Whitney U检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1990s–2000s | 1947 / 2003 |
| 提出者≠ | Rand Wilcox; Croux & Dehon (robust extensions) | Rand Wilcox (robust extensions); original test by Mann & Whitney (1947) |
| 类型≠ | Robust rank correlation | Robust nonparametric two-group comparison |
| 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. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd ed.). Academic Press. ISBN: 978-0127515427 |
| 别名 | 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 |
| 相关≠ | 5 | 1 |
| 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 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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