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| カウントデータのためのハードルモデル× | ロジスティック回帰× | 負の二項回帰× | |
|---|---|---|---|
| 分野≠ | 統計学 | 研究統計 | 計量経済学 |
| 系統≠ | Regression model | Process / pipeline | Regression model |
| 提唱年≠ | 1986 | 1958 | 2011 |
| 提唱者≠ | Mullahy | David Roxbee Cox | Hilbe (textbook treatment); generalized linear model framework |
| 種類≠ | Two-part count model | Method | Generalized linear model for count data |
| 原典≠ | Mullahy, J. (1986). Specification and Testing of Some Modified Count Data Models. Journal of Econometrics, 33(3), 341–365. DOI ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗ |
| 別名≠ | hurdle count model, two-part count model, zero-truncated count model, Engel Modeli (Hurdle Model) | logit model, binomial logistic regression, LR | NB regression, NB2 regression, negatif binom regresyonu |
| 関連≠ | 5 | 3 | 4 |
| 概要≠ | The hurdle model is a two-part count-data model introduced by Mullahy (1986). A first stage models the binary choice of crossing a hurdle (a zero versus a non-zero count), and a second stage models the strictly positive counts with a zero-truncated distribution such as a zero-truncated Poisson or negative binomial. | 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. | Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data. |
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