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| 稳健 Wilcoxon 符号秩检验× | 稳健配对样本t检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1945 (original); robust extensions 1990s–2000s | 1974 |
| 提出者≠ | Frank Wilcoxon (original); Rand R. Wilcox (robust extensions) | K. K. Yuen; extended by Rand R. Wilcox |
| 类型≠ | Robust nonparametric paired difference test | Robust parametric mean comparison |
| 开创性文献≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Yuen, K. K. (1974). The two-sample trimmed t for unequal population variances. Biometrika, 61(1), 165–170. DOI ↗ |
| 别名 | robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test | trimmed-mean paired t-test, Yuen paired t-test, robust dependent-samples t-test, trimmed paired comparison |
| 相关≠ | 5 | 3 |
| 摘要≠ | The robust Wilcoxon signed-rank test extends the classical Wilcoxon signed-rank test by incorporating outlier-resistant location measures or robust preprocessing steps, improving inference on paired data when extreme observations or heavy-tailed distributions threaten validity of standard rank-based conclusions. | The robust paired samples t-test replaces arithmetic means with trimmed means and Winsorized variance to compare two related measurements while resisting the distorting influence of outliers and non-normal distributions, producing reliable inference where the classic paired t-test breaks down. |
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