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Bayesian analysis of the ordered probit model with endogenous selection

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  • Munkin, Murat K.
  • Trivedi, Pravin K.

Abstract

This paper presents a Bayesian analysis of an ordered probit model with endogenous selection. The model can be applied when analyzing ordered outcomes that depend on endogenous covariates that are discrete choice indicators modeled by a multinomial probit model. The model is illustrated by analyzing the effects of different types of medical insurance plans on the level of hospital utilization, allowing for potential endogeneity of insurance status. The estimation is performed using the Markov chain Monte Carlo (MCMC) methods to approximate the posterior distribution of the parameters in the model.

Suggested Citation

  • Munkin, Murat K. & Trivedi, Pravin K., 2008. "Bayesian analysis of the ordered probit model with endogenous selection," Journal of Econometrics, Elsevier, vol. 143(2), pages 334-348, April.
  • Handle: RePEc:eee:econom:v:143:y:2008:i:2:p:334-348
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    References listed on IDEAS

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    1. David Card & Carlos Dobkin & Nicole Maestas, 2004. "The Impact of Nearly Universal Insurance Coverage on Health Care Utilization and Health Evidence from Medicare," Working Papers WR-197, RAND Corporation.
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    9. Chib, Siddhartha & Hamilton, Barton H., 2000. "Bayesian analysis of cross-section and clustered data treatment models," Journal of Econometrics, Elsevier, vol. 97(1), pages 25-50, July.
    10. Lichtenberg Frank R., 2002. "The Effects of Medicare on Health Care Utilization and Outcomes," Forum for Health Economics & Policy, De Gruyter, vol. 5(1), pages 1-29, January.
    11. John Geweke & Gautam Gowrisankaran & Robert J. Town, 2003. "Bayesian Inference for Hospital Quality in a Selection Model," Econometrica, Econometric Society, vol. 71(4), pages 1215-1238, July.
    12. David Card & Carlos Dobkin & Nicole Maestas, 2004. "The Impact of Nearly Universal Insurance Coverage on Health Care Utilization and Health: Evidence from Medicare," NBER Working Papers 10365, National Bureau of Economic Research, Inc.
    13. Bunch, David S., 1991. "Estimability in the Multinomial Probit Model," University of California Transportation Center, Working Papers qt1gf1t128, University of California Transportation Center.
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    Cited by:

    1. Daniele Fabbri & Chiara Monfardini, 2016. "Opt Out or Top Up? Voluntary Health Care Insurance and the Public vs. Private Substitution," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(1), pages 75-93, February.
    2. Stefan Boes, 2013. "Nonparametric analysis of treatment effects in ordered response models," Empirical Economics, Springer, vol. 44(1), pages 81-109, February.
    3. William Greene, 2014. "Models for ordered choices," Chapters,in: Handbook of Choice Modelling, chapter 15, pages 333-362 Edward Elgar Publishing.
    4. Andrés Ramirez Hassan & Johnatan Cardona Jimenez, 2011. "An ordered categorical response model with endogenous switching: Simulation Exercises and an Application to State Health," DOCUMENTOS DE TRABAJO CIEF 010608, UNIVERSIDAD EAFIT.
    5. Keane, Michael & Stavrunova, Olena, 2016. "Adverse selection, moral hazard and the demand for Medigap insurance," Journal of Econometrics, Elsevier, vol. 190(1), pages 62-78.
    6. Rainer Winkelmann, 2012. "Copula Bivariate Probit Models: With An Application To Medical Expenditures," Health Economics, John Wiley & Sons, Ltd., vol. 21(12), pages 1444-1455, December.
    7. Crescenzi, Riccardo & Gagliardi, Luisa & Orrù, Enrico, 2016. "Learning mobility grants and skill (mis)matching in the labour market: the case of the 'Master and Back' programme," LSE Research Online Documents on Economics 87608, London School of Economics and Political Science, LSE Library.
    8. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    9. Simon Luechinger & Alois Stutzer & Rainer Winkelmann, 2008. "Self-Selection and Subjective Well-Being: Copula Models with an Application to Public and Private Sector Work," SOEPpapers on Multidisciplinary Panel Data Research 135, DIW Berlin, The German Socio-Economic Panel (SOEP).
    10. Andrés Ramírez Hassan & Johnatan Cardona Jimenez & Ramiro Cadavid Montoya, 2011. "The impact of subsidized health insurance on the poor in Colombia: Evaluating the case of Medellin," DOCUMENTOS DE TRABAJO CIEF 010602, UNIVERSIDAD EAFIT.
    11. Bhat, Chandra R. & Astroza, Sebastian & Sidharthan, Raghuprasad & Alam, Mohammad Jobair Bin & Khushefati, Waleed H., 2014. "A joint count-continuous model of travel behavior with selection based on a multinomial probit residential density choice model," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 31-51.
    12. Munkin, Murat K., 2011. "The Endogenous Sequential Probit model: An application to the demand for hospital utilization," Economics Letters, Elsevier, vol. 112(2), pages 182-185, August.
    13. Rainer Winkelmann, 2009. "Copula-based bivariate binary response models," SOI - Working Papers 0913, Socioeconomic Institute - University of Zurich.
    14. Joshua C. C. Chan & Justin L. Tobias, 2015. "Priors and Posterior Computation in Linear Endogenous Variable Models with Imperfect Instruments," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(4), pages 650-674, June.
    15. Bhat, Chandra R. & Dubey, Subodh K., 2014. "A new estimation approach to integrate latent psychological constructs in choice modeling," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 68-85.
    16. Bhat, Chandra R., 2015. "A new generalized heterogeneous data model (GHDM) to jointly model mixed types of dependent variables," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 50-77.
    17. Badi H. Baltagi & Peter H. Egger & Michaela Kesina, 2016. "Bayesian Spatial Bivariate Panel Probit Estimation," Advances in Econometrics,in: Spatial Econometrics: Qualitative and Limited Dependent Variables, volume 37, pages 119-144 Emerald Publishing Ltd.
    18. Bhat, Chandra R. & Dubey, Subodh K. & Nagel, Kai, 2015. "Introducing non-normality of latent psychological constructs in choice modeling with an application to bicyclist route choice," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 341-363.
    19. Bhat, Chandra R. & Astroza, Sebastian & Bhat, Aarti C. & Nagel, Kai, 2016. "Incorporating a multiple discrete-continuous outcome in the generalized heterogeneous data model: Application to residential self-selection effects analysis in an activity time-use behavior model," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 52-76.
    20. repec:bla:presci:v:95:y:2016:i:4:p:693-707 is not listed on IDEAS
    21. Keane, Michael & Stavrunova, Olena, 2016. "Adverse selection, moral hazard and the demand for Medigap insurance," Journal of Econometrics, Elsevier, vol. 190(1), pages 62-78.

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