手法を比較

	二項分布二変量プロビットモデル	順序ロジスティック回帰 (Ordered Logit/Probit)	プロビット回帰モデル
分野	計量経済学	計量経済学	計量経済学
系統	Regression model	Regression model	Regression model
提唱年	1970	1980	2018
提唱者	J. R. Ashford & R. R. Sowden	McCullagh (proportional odds / cumulative model)	Greene (textbook treatment); classical discrete-choice modelling
種類	Maximum-likelihood binary outcome model	Cumulative ordinal regression	Binary discrete-choice model
原典	Ashford, J. R., & Sowden, R. R. (1970). Multi-variate probit analysis. Biometrics, 26(3), 535–546.	McCullagh, P. (1980). Regression Models for Ordinal Data. Journal of the Royal Statistical Society: Series B, 42(2), 109-142.	Greene, W. H. (2018). Econometric Analysis (8th ed.). Pearson. ISBN: 978-0134461366
別名	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
関連	3	4	5
概要	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).