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| Test dei ranghi con segno di Wilcoxon robusto× | Test del Segno× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Hypothesis test | Hypothesis test |
| Anno di origine≠ | 1945 (original); robust extensions 1990s–2000s | 1946 |
| Ideatore≠ | Frank Wilcoxon (original); Rand R. Wilcox (robust extensions) | W. J. Dixon & A. M. Mood |
| Tipo≠ | Robust nonparametric paired difference test | Nonparametric median test |
| Fonte seminale≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Dixon, W. J. & Mood, A. M. (1946). The statistical sign test. Journal of the American Statistical Association, 41(236), 557–566. DOI ↗ |
| Alias≠ | robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test | İşaret Testi (Sign Test), one-sample sign test, paired sign test |
| Correlati≠ | 5 | 4 |
| 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 sign test is the simplest nonparametric hypothesis test for deciding whether the median of paired differences — or of a single sample — differs significantly from a hypothesised value. Formalised by W. J. Dixon and A. M. Mood in 1946, it imposes virtually no distributional assumptions and can be applied to any data where individual differences can be classified as positive or negative. |
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