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| ロバスト・ポアソン回帰× | 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≠ | 2004 | 1958 |
| 提唱者≠ | Guangyong Zou | David Roxbee Cox |
| 種類≠ | GLM with robust variance | Method |
| 原典≠ | Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706. 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≠ | modified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson | logit model, binomial logistic regression, LR |
| 関連≠ | 5 | 3 |
| 概要≠ | Robust Poisson regression fits a Poisson log-linear model to a binary outcome but replaces the model-based variance with the empirical sandwich estimator. This yields valid standard errors and risk ratios even though Poisson variance assumptions are technically violated for binary data. The approach, popularized by Zou (2004), is widely used in epidemiology as a numerically stable alternative to log-binomial regression. | 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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