Порівняння методів
Переглядайте обрані методи поруч; рядки з відмінностями підсвічено.
| Багатовимірна множинна лінійна регресія× | T²-критерій Хотеллінга× | |
|---|---|---|
| Галузь | Статистика | Статистика |
| Родина≠ | Regression model | Hypothesis test |
| Рік появи≠ | 2007 | 1931 |
| Автор методу≠ | Johnson & Wichern (textbook treatment); classical multivariate least squares | Harold Hotelling |
| Тип≠ | Multivariate linear regression | Multivariate parametric mean comparison |
| Основоположне джерело≠ | Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153 | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ |
| Інші назви≠ | multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV) | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared |
| Пов'язані≠ | 5 | 6 |
| Підсумок≠ | 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. | 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. |
| ScholarGateНабір даних ↗ |
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