مقایسهٔ روشها
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| رگرسیون چندمتغیره خطی چندگانه× | تحلیل کوواریانس چندمتغیره (MANCOVA)× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده≠ | Regression model | Hypothesis test |
| سال پیدایش≠ | 2007 | 1970 |
| پدیدآور≠ | Johnson & Wichern (textbook treatment); classical multivariate least squares | Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980s |
| نوع≠ | Multivariate linear regression | Parametric multivariate mean comparison with covariate control |
| منبع بنیادین≠ | Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153 | Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541 |
| نامهای دیگر | multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV) | MANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizi |
| مرتبط | 5 | 5 |
| خلاصه≠ | 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. | MANCOVA (Multivariate Analysis of Covariance) is a parametric hypothesis test that simultaneously compares two or more groups on multiple continuous dependent variables while statistically controlling for one or more covariates. It extends MANOVA by incorporating covariate adjustment, a tradition consolidated in multivariate statistical methodology by the 1970s and authoritatively documented by Tabachnick and Fidell (2019). |
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