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Многовариантен множествен линеен регресионен анализ×Логистична регресия×Метод на най-малките квадрати (МНК)×
ОбластСтатистикаСтатистика за изследванияИконометрия
СемействоRegression modelProcess / pipelineRegression model
Година на възникване200719582019
СъздателJohnson & Wichern (textbook treatment); classical multivariate least squaresDavid Roxbee CoxWooldridge (textbook treatment); classical least squares
ТипMultivariate linear regressionMethodLinear regression
Основополагащ източникJohnson, 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
Други названияmultivariate 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
Свързани535
РезюмеMultivariate 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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ScholarGateСравнение на методи: Multivariate Regression · Logistic Regression · OLS Regression. Извлечено на 2026-06-19 от https://scholargate.app/bg/compare