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Regresi Linier Berganda Multivariat×Uji T² Hotelling×Regresi Kuadrat Terkecil Biasa (Ordinary Least Squares - OLS)×
BidangStatistikaStatistikaEkonometrika
KeluargaRegression modelHypothesis testRegression model
Tahun asal200719312019
PencetusJohnson & Wichern (textbook treatment); classical multivariate least squaresHarold HotellingWooldridge (textbook treatment); classical least squares
TipeMultivariate linear regressionMultivariate parametric mean comparisonLinear regression
Sumber perintisJohnson, 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 ↗Wooldridge, 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)Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Terkait565
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.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.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 metode: Multivariate Regression · Hotelling's T² Test · OLS Regression. Diakses 2026-06-19 dari https://scholargate.app/id/compare