विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| प्रसरण विश्लेषण (ANOVA)× | गैर-पैरामीट्रिक सांख्यिकीय परीक्षण× | |
|---|---|---|
| क्षेत्र | अनुसंधान सांख्यिकी | अनुसंधान सांख्यिकी |
| परिवार | Process / pipeline | Process / pipeline |
| उद्भव वर्ष≠ | 1925 | 1947 |
| प्रवर्तक≠ | Ronald A. Fisher | Henry Mann and Donald Whitney |
| प्रकार | Method | Method |
| मौलिक स्रोत≠ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Oliver and Boyd. link ↗ | Mann, H. B., & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60. DOI ↗ |
| उपनाम≠ | ANOVA, F-test | rank-based tests, Mann-Whitney U, Kruskal-Wallis, distribution-free |
| संबंधित≠ | 4 | 3 |
| सारांश≠ | ANOVA is a parametric statistical method developed by Ronald A. Fisher in 1925 that tests whether means differ significantly across three or more independent groups. By partitioning total variance into between-group and within-group components, ANOVA determines whether observed differences are likely due to treatment effects or random variation, making it fundamental to comparative research across medicine, psychology, agriculture, and engineering. | Nonparametric (distribution-free) tests are statistical methods for hypothesis testing that do not assume data follow a specific probability distribution (e.g., normal), making them robust to departures from normality, outliers, and ordinal data. The Mann-Whitney U test (1947) and Kruskal-Wallis test (1952) extend hypothesis testing beyond the constraints of parametric assumptions. Essential in biology, medicine, psychology, and any field where data are non-normal, highly skewed, or measured on ordinal scales (rankings, ratings), nonparametric tests provide valid inference when parametric assumptions fail. |
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