विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| विवेचक विश्लेषण× | बहुभिन्नरूपी प्रसरण विश्लेषण (MANOVA)× | |
|---|---|---|
| क्षेत्र | सांख्यिकी | सांख्यिकी |
| परिवार≠ | Latent structure | Hypothesis test |
| उद्भव वर्ष≠ | 1936 | 1932 |
| प्रवर्तक≠ | Ronald A. Fisher | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| प्रकार≠ | Supervised classification and dimension reduction | Parametric multivariate mean comparison |
| मौलिक स्रोत≠ | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| उपनाम≠ | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| संबंधित≠ | 4 | 5 |
| सारांश≠ | Discriminant analysis finds linear combinations of predictor variables that best separate two or more known groups. It is used both to understand which predictors distinguish the groups and to classify new observations into those groups with minimum error. | MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932. |
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