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| Robustна еднофакторна ANOVA× | Робастен t-тест за независими извадки× | |
|---|---|---|
| Област | Статистика | Статистика |
| Семейство | Hypothesis test | Hypothesis test |
| Година на възникване≠ | 1951 (Welch); 1990s–2000s (trimmed-mean variants) | 1974–1990s |
| Създател≠ | B. L. Welch; R. R. Wilcox (trimmed-mean extension) | Rand R. Wilcox; Karen K. Yuen (trimmed-mean form) |
| Тип≠ | Robust parametric group comparison | Robust parametric mean comparison |
| Основополагащ източник | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| Други названия | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA | Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test |
| Свързани | 2 | 2 |
| Резюме≠ | Robust one-way ANOVA compares the central tendency of three or more independent groups while resisting the distorting effects of outliers and heterogeneous variances. By replacing ordinary means with trimmed means and ordinary variances with Winsorized variances, it maintains accurate Type I error control and strong power when classical ANOVA assumptions are violated. | 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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