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	ロバストプロビットモデル	ロジスティック回帰
分野	統計学	研究統計
系統	Regression model	Process / pipeline
提唱年	1934 / 1980s	1958
提唱者	Hal White (sandwich variance); classical probit by Bliss (1934)	David Roxbee Cox
種類	Binary outcome regression with robust inference	Method
原典	Wooldridge, J. M. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586	Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242.
別名	probit with robust standard errors, sandwich-SE probit, heteroscedasticity-robust probit, M-estimation probit	logit model, binomial logistic regression, LR
関連	4	3
概要	The Robust Probit Model estimates the probability of a binary outcome using the probit link function while protecting inference from misspecification of the error distribution or heteroscedasticity. Coefficients are obtained via maximum likelihood; standard errors are then replaced by the sandwich (Huber-White) estimator, which remains consistent even when the assumed error variance is incorrect.	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.