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होटलिंग का T² परीक्षण×साधारण न्यूनतम वर्ग (OLS) समाश्रयण×
क्षेत्रसांख्यिकीअर्थमिति
परिवारHypothesis testRegression model
उद्भव वर्ष19312019
प्रवर्तकHarold HotellingWooldridge (textbook treatment); classical least squares
प्रकारMultivariate parametric mean comparisonLinear regression
मौलिक स्रोतHotelling, 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
उपनामHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
संबंधित65
सारांशHotelling'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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