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| 稳健 Wilcoxon 符号秩检验× | 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 | 1908 |
| 提出者≠ | Frank Wilcoxon (original); Rand R. Wilcox (robust extensions) | Student (W. S. Gosset) |
| 类型≠ | Robust nonparametric paired difference test | 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 | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| 别名 | robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test | dependent t-test, matched pairs t-test, repeated measures t-test, within-subjects t-test |
| 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 paired samples t-test is a parametric hypothesis test that compares the means of two related measurements from the same subjects or matched pairs to determine whether the average difference is significantly different from zero. It leverages the dependency between observations to produce a more powerful test than its independent-samples counterpart. |
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