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| Test t robust a campione singolo (media troncata)× | Test t robusto per campioni appaiati× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Hypothesis test | Hypothesis test |
| Anno di origine≠ | 1970s–2000s | 1974 |
| Ideatore≠ | Rand R. Wilcox (extending Yuen's trimmed-mean approach) | K. K. Yuen; extended by Rand R. Wilcox |
| Tipo | Robust parametric mean comparison | Robust parametric mean comparison |
| Fonte seminale≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Yuen, K. K. (1974). The two-sample trimmed t for unequal population variances. Biometrika, 61(1), 165–170. DOI ↗ |
| Alias | one-sample trimmed mean test, Yuen one-sample test, robust one-sample location test, trimmed mean t-test | trimmed-mean paired t-test, Yuen paired t-test, robust dependent-samples t-test, trimmed paired comparison |
| Correlati≠ | 4 | 3 |
| Sintesi≠ | The robust one-sample t-test replaces the ordinary mean with a trimmed mean and the sample variance with a Winsorized variance to compare a population location against a hypothesized value. It retains the t-test decision framework while sharply reducing sensitivity to outliers and heavy-tailed distributions, making it reliable in real-world continuous data that deviate from normality. | The robust paired samples t-test replaces arithmetic means with trimmed means and Winsorized variance to compare two related measurements while resisting the distorting influence of outliers and non-normal distributions, producing reliable inference where the classic paired t-test breaks down. |
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