مقایسهٔ روشها
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| رگرسیون چندمتغیره خطی چندگانه× | رگرسیون لجستیک× | رگرسیون حداقل مربعات معمولی (OLS)× | |
|---|---|---|---|
| حوزه≠ | آمار | آمار پژوهش | اقتصادسنجی |
| خانواده≠ | Regression model | Process / pipeline | Regression model |
| سال پیدایش≠ | 2007 | 1958 | 2019 |
| پدیدآور≠ | Johnson & Wichern (textbook treatment); classical multivariate least squares | David Roxbee Cox | Wooldridge (textbook treatment); classical least squares |
| نوع≠ | Multivariate linear regression | Method | Linear regression |
| منبع بنیادین≠ | Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153 | 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 |
| نامهای دیگر≠ | multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV) | logit model, binomial logistic regression, LR | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| مرتبط≠ | 5 | 3 | 5 |
| خلاصه≠ | 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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