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多元多重线性回归×逻辑回归×普通最小二乘法 (OLS) 回归×
领域统计学研究统计学计量经济学
方法族Regression modelProcess / pipelineRegression model
起源年份200719582019
提出者Johnson & Wichern (textbook treatment); classical multivariate least squaresDavid Roxbee CoxWooldridge (textbook treatment); classical least squares
类型Multivariate linear regressionMethodLinear regression
开创性文献Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153Cox, 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
别名multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)logit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
相关535
摘要Multivariate 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.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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ScholarGate方法对比: Multivariate Regression · Logistic Regression · OLS Regression. 于 2026-06-19 检索自 https://scholargate.app/zh/compare