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चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| रोबस्ट टू-वे एनोवा (Robust Two-Way ANOVA)× | मजबूत एक-तरफ़ा एनोवा× | |
|---|---|---|
| क्षेत्र | सांख्यिकी | सांख्यिकी |
| परिवार | Hypothesis test | Hypothesis test |
| उद्भव वर्ष≠ | 1990s–2000s | 1951 (Welch); 1990s–2000s (trimmed-mean variants) |
| प्रवर्तक≠ | Rand R. Wilcox; H. J. Keselman and colleagues | B. L. Welch; R. R. Wilcox (trimmed-mean extension) |
| प्रकार≠ | Robust parametric mean comparison | Robust parametric group comparison |
| मौलिक स्रोत | 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 |
| उपनाम | robust factorial ANOVA, trimmed-mean two-way ANOVA, heteroscedastic two-way ANOVA, robust 2-way ANOVA | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA |
| संबंधित≠ | 3 | 2 |
| सारांश≠ | Robust two-way ANOVA tests main effects and interactions of two categorical factors on a continuous outcome using trimmed means and Winsorized variances, providing valid inference when standard ANOVA assumptions — normality, homoscedasticity, and absence of outliers — are violated. | 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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