So sánh phương pháp

	Kiểm định Wilcoxon dấu hạng có tính vững	Kiểm định U Mann-Whitney Mạnh mẽ
Lĩnh vực	Thống kê	Thống kê
Họ	Hypothesis test	Hypothesis test
Năm ra đời	1945 (original); robust extensions 1990s–2000s	1947 / 2003
Người khởi xướng	Frank Wilcoxon (original); Rand R. Wilcox (robust extensions)	Rand Wilcox (robust extensions); original test by Mann & Whitney (1947)
Loại	Robust nonparametric paired difference test	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 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
Liên quan	5	1
Tóm tắt	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.