方法对比

	稳健 Wilcoxon 符号秩检验	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	1945 (original); robust extensions 1990s–2000s	1947 / 2003
提出者	Frank Wilcoxon (original); Rand R. Wilcox (robust extensions)	Rand Wilcox (robust extensions); original test by Mann & Whitney (1947)
类型	Robust nonparametric paired difference test	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 signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test	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	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 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.