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| Test U di Mann-Whitney Robusto× | Test t robust per campioni indipendenti× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Hypothesis test | Hypothesis test |
| Anno di origine≠ | 1947 / 2003 | 1974–1990s |
| Ideatore≠ | Rand Wilcox (robust extensions); original test by Mann & Whitney (1947) | Rand R. Wilcox; Karen K. Yuen (trimmed-mean form) |
| Tipo≠ | Robust nonparametric two-group comparison | Robust parametric mean comparison |
| Fonte seminale≠ | Wilcox, R. R. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd ed.). Academic Press. ISBN: 978-0127515427 | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| Alias | robust Wilcoxon rank-sum test, robust two-sample rank test, outlier-resistant Mann-Whitney test, robust nonparametric two-group comparison | Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test |
| Correlati≠ | 1 | 2 |
| Sintesi≠ | 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. | The robust independent samples t-test compares the central tendency of two independent groups using trimmed means and Winsorized variances, making it substantially less sensitive to outliers and non-normality than the classical Student or Welch t-test. The most widely used form is Yuen's test, which also accommodates unequal variances across groups. |
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