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| Ковариационен анализ (ANCOVA)× | Дискриминантен анализ× | Hotelling's T² Test× | |
|---|---|---|---|
| Област | Статистика | Статистика | Статистика |
| Семейство≠ | Hypothesis test | Latent structure | Hypothesis test |
| Година на възникване≠ | 1932 | 1936 | 1931 |
| Създател≠ | Ronald A. Fisher | Ronald A. Fisher | Harold Hotelling |
| Тип≠ | Parametric group comparison with covariate control | Supervised classification and dimension reduction | Multivariate parametric mean comparison |
| Основополагащ източник≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ |
| Други названия≠ | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared |
| Свързани≠ | 4 | 4 | 6 |
| Резюме≠ | ANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013). | 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. | Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix. |
| ScholarGateНабор от данни ↗ |
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