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| 多変量重回帰分析× | ロジスティック回帰× | |
|---|---|---|
| 分野≠ | 統計学 | 研究統計 |
| 系統≠ | Regression model | Process / pipeline |
| 提唱年≠ | 2007 | 1958 |
| 提唱者≠ | Johnson & Wichern (textbook treatment); classical multivariate least squares | David Roxbee Cox |
| 種類≠ | Multivariate linear regression | Method |
| 原典≠ | 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 ↗ |
| 別名≠ | multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV) | logit model, binomial logistic regression, LR |
| 関連≠ | 5 | 3 |
| 概要≠ | 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. |
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