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Hotelling's T² 검정×최소제곱법(OLS) 회귀×
분야통계학계량경제학
계열Hypothesis testRegression model
기원 연도19312019
창시자Harold HotellingWooldridge (textbook treatment); classical least squares
유형Multivariate parametric mean comparisonLinear regression
원전Hotelling, 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
별칭Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련65
요약Hotelling'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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