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| 一般化線形モデル（GLM）× | 順序ロジスティック回帰× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1972 | 1980 |
| 提唱者≠ | John A. Nelder & Robert W. M. Wedderburn | Peter McCullagh |
| 種類≠ | Regression framework | Ordinal regression / GLM |
| 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 ↗ | McCullagh, P. (1980). Regression models for ordinal data. Journal of the Royal Statistical Society: Series B (Methodological), 42(2), 109–142. DOI ↗ |
| 別名 | GLM, generalized regression, exponential family regression, link-function model | proportional-odds model, cumulative link model, ordered logit, OLR |
| 関連 | 6 | 6 |
| 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. | Ordinal logistic regression — most commonly the proportional-odds model — estimates the relationship between one or more predictors and an ordered categorical outcome (e.g., Likert scales, disease severity grades, educational attainment levels). It models cumulative log-odds across the ordered categories while assuming a single shared effect of each predictor at all thresholds. |
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