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| 順序ロジスティック回帰 (Ordered Logit/Probit)× | ロジスティック回帰× | |
|---|---|---|
| 分野≠ | 計量経済学 | 研究統計 |
| 系統≠ | Regression model | Process / pipeline |
| 提唱年≠ | 1980 | 1958 |
| 提唱者≠ | McCullagh (proportional odds / cumulative model) | David Roxbee Cox |
| 種類≠ | Cumulative ordinal regression | Method |
| 原典≠ | McCullagh, P. (1980). Regression Models for Ordinal Data. Journal of the Royal Statistical Society: Series B, 42(2), 109-142. 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≠ | ordinal logistic regression, proportional odds model, cumulative logit model, ordered probit | logit model, binomial logistic regression, LR |
| 関連≠ | 4 | 3 |
| 概要≠ | Ordered logit is a cumulative regression model for an ordinal dependent variable, fitting a logit (or probit) link to the cumulative category probabilities. Developed in McCullagh's 1980 treatment of regression models for ordinal data, it is the standard tool for Likert-scale, rating, and ranked 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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