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| Test dei ranghi con segno di Wilcoxon robusto× | Test U di Mann-Whitney Robusto× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Hypothesis test | Hypothesis test |
| Anno di origine≠ | 1945 (original); robust extensions 1990s–2000s | 1947 / 2003 |
| Ideatore≠ | Frank Wilcoxon (original); Rand R. Wilcox (robust extensions) | Rand Wilcox (robust extensions); original test by Mann & Whitney (1947) |
| Tipo≠ | Robust nonparametric paired difference test | Robust nonparametric two-group comparison |
| Fonte seminale≠ | 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 |
| Alias | 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 |
| Correlati≠ | 5 | 1 |
| Sintesi≠ | 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. |
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