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Maximum likelihood estimation of endogenous switching and sample selection models for binary, ordinal, and count variables

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Author Info
Alfonso Miranda () (Keele University)
Sophia Rabe-Hesketh (Graduate School of Education, University of California - Berkeley)

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Abstract

Studying behavior in economics, sociology, and statistics often involves fitting models in which the response variable depends on a dummy variable- also known as a regime-switch variable- or in which the response variable is observed only if a particular selection condition is met. In either case, standard regression techniques deliver inconsistent estimators if unobserved factors that affect the re- sponse are correlated with unobserved factors that affect the switching or selection variable. Consistent estimators can be obtained by maximum likelihood estimation of a joint model of the outcome and switching or selection variable. This article describes a “wrapper” program, ssm, that calls gllamm (Rabe-Hesketh, Skrondal, and Pickles, GLLAMM Manual [University of California – Berkeley, Division of Bio- statistics, Working Paper Series, Paper No. 160]) to fit such models. The wrapper accepts data in a simple structure, has a straightforward syntax, and reports out- put that is easily interpretable. One important feature of ssm is that the log likelihood can be evaluated using adaptive quadrature (Rabe-Hesketh, Skrondal, and Pickles, Stata Journal 2: 1–21; Journal of Econometrics 128: 301–323). Copyright 2006 by StataCorp LP.

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Publisher Info
Article provided by StataCorp LP in its journal Stata Journal.

Volume (Year): 6 (2006)
Issue (Month): 3 (September)
Pages: 285-308
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Handle: RePEc:tsj:stataj:v:6:y:2006:i:3:p:208-308

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Related research
Keywords: endogenous switching; sample selection; binary variable; count data; ordinal variable; probit; Poisson regression; adaptive quadrature; gllamm; wrapper; ssm;

Cited by:
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  1. Alfonso Miranda & Massimiliano Bratti, 2006. "Non-Pecuniary Returns to Higher Education:," IZA Discussion Papers 2090, Institute for the Study of Labor (IZA). [Downloadable!]
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