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Phép kiểm T² của Hotelling×Hồi quy Logistic×Hồi quy Bình phương Tối thiểu Thông thường (OLS)×
Lĩnh vựcThống kêThống kê nghiên cứuKinh tế lượng
HọHypothesis testProcess / pipelineRegression model
Năm ra đời193119582019
Người khởi xướngHarold HotellingDavid Roxbee CoxWooldridge (textbook treatment); classical least squares
LoạiMultivariate parametric mean comparisonMethodLinear regression
Công trình gốcHotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Tên gọi khácHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredlogit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Liên quan635
Tóm tắtHotelling'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.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.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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ScholarGateSo sánh phương pháp: Hotelling's T² Test · Logistic Regression · OLS Regression. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare