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Probit Models with Dummy Endogenous Regressors


Jacob Nielsen Arendt


Danish Institute of Governmental Research

Holm Anders Larsen


University of Copenhagen

February 2006

University of Southern Denmark Business and Economics Discussion Paper No. 4/2006
iHEA 2007 6th World Congress: Explorations in Health Economics Paper

Abstract:     
This study considers heckit-type approximations useful for a number of different trivariate probit models. They are simple to use and have no convergence problems like full maximum likelihood. Simulations show that a heckit and a least squares approximation perform as well as the trivariate probit estimator in small samples when the degree of endogeneity is not too severe. A simple double-heckit and a heteroskedasticity corrected heckit approximation seem particularly robust and promising for testing exogeneity. The methods are used to estimate the impact of physician advice on physical activity, where the heckit approximations work as well as full maximum likelihood.

Number of Pages in PDF File: 30

Keywords: Multivariate Probit, Two-step estimation, Endogeneity, Selection, Medical advice

JEL Classification: C25, C35, I12, I18

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Date posted: June 16, 2007 ; Last revised: May 15, 2008

Suggested Citation

Arendt, Jacob Nielsen and Larsen, Holm Anders, Probit Models with Dummy Endogenous Regressors (February 2006). University of Southern Denmark Business and Economics Discussion Paper No. 4/2006; iHEA 2007 6th World Congress: Explorations in Health Economics Paper. Available at SSRN: http://ssrn.com/abstract=994189 or http://dx.doi.org/10.2139/ssrn.994189

Contact Information

Jacob Nielsen Arendt
Danish Institute of Governmental Research ( email )
Nyropsgade 37, DK-1602
Copenhagen V
Denmark
Holm Anders Larsen (Contact Author)
University of Copenhagen ( email )
Solbjerg Plads 3
Copenhagen, DK-1455
Denmark
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