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| 一般化線形モデル（GLM）× | 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≠ | 1972 | 1958 |
| 提唱者≠ | John A. Nelder & Robert W. M. Wedderburn | David Roxbee Cox |
| 種類≠ | Regression framework | Method |
| 原典≠ | Nelder, J. A., & Wedderburn, R. W. M. (1972). Generalized linear models. Journal of the Royal Statistical Society: Series A (General), 135(3), 370–384. DOI ↗ | 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≠ | GLM, generalized regression, exponential family regression, link-function model | logit model, binomial logistic regression, LR |
| 関連≠ | 6 | 3 |
| 概要≠ | The Generalized Linear Model is a unified regression framework that extends ordinary linear regression to outcomes from the exponential family — including binary, count, proportion, and continuous positive outcomes. A link function connects the linear predictor to the mean of the response, enabling principled modelling beyond the Gaussian case. | 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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