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| تحليل التباين للقياسات المتكررة المعزز بالمتانة (Robust Repeated Measures ANOVA)× | تحليل التباين الأحادي الاتجاه المنيع (Robust One-Way ANOVA)× | |
|---|---|---|
| المجال | الإحصاء | الإحصاء |
| العائلة | Hypothesis test | Hypothesis test |
| سنة النشأة≠ | 1990s–2000s | 1951 (Welch); 1990s–2000s (trimmed-mean variants) |
| صاحب الطريقة≠ | Rand R. Wilcox | B. L. Welch; R. R. Wilcox (trimmed-mean extension) |
| النوع≠ | Robust parametric mean comparison | Robust parametric group comparison |
| المصدر التأسيسي | 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 |
| الأسماء البديلة | robust within-subjects ANOVA, trimmed-mean repeated measures ANOVA, robust RM-ANOVA, heteroscedastic repeated measures ANOVA | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA |
| ذات صلة≠ | 6 | 2 |
| الملخص≠ | Robust repeated measures ANOVA tests whether population trimmed means differ across three or more repeated conditions or time points measured on the same subjects. By replacing ordinary means with 20% trimmed means and replacing variances with Winsorized estimates, it maintains acceptable Type I error and power when data are non-normal, skewed, or contain outliers — conditions under which classical repeated measures ANOVA routinely breaks down. | 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. |
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