方法对比
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| 双变量概率模型× | 有序逻辑回归（有序 Logit/Probit）× | Probit 回归模型× | |
|---|---|---|---|
| 领域 | 计量经济学 | 计量经济学 | 计量经济学 |
| 方法族 | Regression model | Regression model | Regression model |
| 起源年份≠ | 1970 | 1980 | 2018 |
| 提出者≠ | J. R. Ashford & R. R. Sowden | McCullagh (proportional odds / cumulative model) | Greene (textbook treatment); classical discrete-choice modelling |
| 类型≠ | Maximum-likelihood binary outcome model | Cumulative ordinal regression | Binary discrete-choice model |
| 开创性文献≠ | Ashford, J. R., & Sowden, R. R. (1970). Multi-variate probit analysis. Biometrics, 26(3), 535–546. DOI ↗ | McCullagh, P. (1980). Regression Models for Ordinal Data. Journal of the Royal Statistical Society: Series B, 42(2), 109-142. DOI ↗ | Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson. ISBN: 978-0134461366 |
| 别名≠ | Bivariate Binary Probit, Joint Probit Model, Two-Equation Probit, İki Değişkenli Probit | ordinal logistic regression, proportional odds model, cumulative logit model, ordered probit | probit regression, normit model, Probit Modeli |
| 相关≠ | 3 | 4 | 5 |
| 摘要≠ | The Bivariate Probit Model, introduced by Ashford and Sowden (1970), jointly estimates two binary outcome equations whose error terms are allowed to be correlated. By modeling both outcomes simultaneously under a bivariate normal distribution, it corrects for the dependence between decisions that separate probit regressions would ignore, producing consistent and efficient parameter estimates for researchers studying interrelated binary choices. | 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. | The probit model is a regression method for a binary (0/1) outcome that maps a linear index of the predictors through the standard normal cumulative distribution function to produce a probability. It is a classical discrete-choice alternative to logistic regression, developed in standard econometrics treatments such as Greene's Econometric Analysis (2018). |
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