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Regresi Linear Berganda Pelbagai Pemboleh Ubah×Analisis Kovarians Multivariat (MANCOVA)×Regresi Kuasa Dua Terkecil Biasa (OLS)×
BidangStatistikStatistikEkonometrik
KeluargaRegression modelHypothesis testRegression model
Tahun asal200719702019
PengasasJohnson & Wichern (textbook treatment); classical multivariate least squaresExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sWooldridge (textbook treatment); classical least squares
JenisMultivariate linear regressionParametric multivariate mean comparison with covariate controlLinear regression
Sumber perintisJohnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153Tabachnick, 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
Aliasmultivariate 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 Analiziordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Berkaitan555
RingkasanMultivariate 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).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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ScholarGateBandingkan kaedah: Multivariate Regression · MANCOVA · OLS Regression. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare