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| Test T² Hotellinga× | Wielowymiarowa regresja liniowa z wieloma zmiennymi× | |
|---|---|---|
| Dziedzina | Statystyka | Statystyka |
| Rodzina≠ | Hypothesis test | Regression model |
| Rok powstania≠ | 1931 | 2007 |
| Twórca≠ | Harold Hotelling | Johnson & Wichern (textbook treatment); classical multivariate least squares |
| Typ≠ | Multivariate parametric mean comparison | Multivariate linear regression |
| Źródło pierwotne≠ | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ | Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153 |
| Inne nazwy≠ | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared | multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV) |
| Pokrewne≠ | 6 | 5 |
| Podsumowanie≠ | 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. | Multivariate regression is a linear regression method that predicts several continuous dependent variables at the same time from a shared set of predictors. As developed in standard treatments such as Johnson and Wichern's Applied Multivariate Statistical Analysis (2007), each response equation can be fitted by ordinary least squares while the covariance structure of the residuals is used for joint testing across outcomes. |
| ScholarGateZbiór danych ↗ |
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