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Regresia liniară multiplă multivariată×Testul T² al lui Hotelling×Analiza multivariată a covarianței (MANCOVA)×Regresia prin metoda celor mai mici pătrate ordinare (OLS)×
DomeniuStatisticăStatisticăStatisticăEconometrie
FamilieRegression modelHypothesis testHypothesis testRegression model
Anul apariției2007193119702019
Autorul originalJohnson & Wichern (textbook treatment); classical multivariate least squaresHarold HotellingExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sWooldridge (textbook treatment); classical least squares
TipMultivariate linear regressionMultivariate parametric mean comparisonParametric multivariate mean comparison with covariate controlLinear regression
Sursa seminalăJohnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Denumiri alternativemultivariate 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-squaredMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analiziordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Înrudite5655
RezumatMultivariate 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.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).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateCompară metode: Multivariate Regression · Hotelling's T² Test · MANCOVA · OLS Regression. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare