विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| मजबूत एक-तरफ़ा एनोवा× | एक-तरफ़ा विचरण विश्लेषण× | |
|---|---|---|
| क्षेत्र | सांख्यिकी | सांख्यिकी |
| परिवार | Hypothesis test | Hypothesis test |
| उद्भव वर्ष≠ | 1951 (Welch); 1990s–2000s (trimmed-mean variants) | 1925 |
| प्रवर्तक≠ | B. L. Welch; R. R. Wilcox (trimmed-mean extension) | Ronald A. Fisher |
| प्रकार≠ | Robust parametric group comparison | Parametric mean comparison |
| मौलिक स्रोत≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| उपनाम | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| संबंधित≠ | 2 | 4 |
| सारांश≠ | 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. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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