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Bayesian analysis of the ordered probit model with endogenous selection

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

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.

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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 143 (2008)
Issue (Month): 2 (April)
Pages: 334-348

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Handle: RePEc:eee:econom:v:143:y:2008:i:2:p:334-348
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  1. Keane, Michael P, 1992. "A Note on Identification in the Multinomial Probit Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(2), pages 193-200, April.
  2. McCulloch, Robert E. & Polson, Nicholas G. & Rossi, Peter E., 2000. "A Bayesian analysis of the multinomial probit model with fully identified parameters," Journal of Econometrics, Elsevier, vol. 99(1), pages 173-193, November.
  3. Poirier, D.J. & Tobias, J.L., 2001. "On the Predictive Distributions of Outcome Gains in the Presence of an Unidentified Parameter," Papers 00-01-30, California Irvine - School of Social Sciences.
  4. Bunch, David S., 1991. "Estimability in the multinomial probit model," Transportation Research Part B: Methodological, Elsevier, vol. 25(1), pages 1-12, February.
  5. Munkin, Murat K. & Trivedi, Pravin K., 2003. "Bayesian analysis of a self-selection model with multiple outcomes using simulation-based estimation: an application to the demand for healthcare," Journal of Econometrics, Elsevier, vol. 114(2), pages 197-220, June.
  6. 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.
  7. Li, Mingliang & Tobias, Justin, 2008. "Bayesian Analysis of Treatment Effects in an Ordered Potential Outcomes Model," Staff General Research Papers 12429, Iowa State University, Department of Economics.
  8. John Geweke & Gautam Gowrisankaran & Robert J. Town, 2001. "Bayesian Inference for Hospital Quality in a Selection Model," NBER Working Papers 8497, National Bureau of Economic Research, Inc.
  9. Hanming Fang & Michael P. Keane & Dan Silverman, 2006. "Sources of Advantageous Selection: Evidence from the Medigap Insurance Market," NBER Working Papers 12289, National Bureau of Economic Research, Inc.
  10. John Geweke, 2004. "Getting It Right: Joint Distribution Tests of Posterior Simulators," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 799-804, January.
  11. 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.
  12. Bunch, David S., 1991. "Estimability in the Multinomial Probit Model," University of California Transportation Center, Working Papers qt1gf1t128, University of California Transportation Center.
  13. Frank R. Lichtenberg, 2002. "The Effects of Medicare on Health Care Utilization and Outcomes," NBER Chapters, in: Frontiers in Health Policy Research, Volume 5, pages 27-52 National Bureau of Economic Research, Inc.
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