Bayesian analysis of a self-selection model with multiple outcomes using simulation-based estimation: An application to the demand for healthcare

Journal of Econometrics

Volumn 114, Issue 2, 2003, Pages 197-220

  Munkin, Murat K ^a   Trivedi, Pravin K ^b  

^a UNIVERSITY OF TENNESSEE   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Health insurance; Managed care; Markov chain Monte Carlo; Medicaid; Medicare; Self selection

Indexed keywords

COMPUTER SIMULATION; FEES AND CHARGES; HEALTH CARE; MARKOV PROCESSES; MATRIX ALGEBRA; NORMAL DISTRIBUTION; PARAMETER ESTIMATION; SAMPLING; VECTORS;

PRIVATE INSURANCE; SELF-SELECTION MODELS;

HEALTH INSURANCE;

EID: 0346093799     PISSN: 03044076     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4076(02)00223-3     Document Type: Article

References (42)

1. Albert J.H., Chib S. Bayesian analysis of binary and polychotomous response data. Journal of American Statistical Association. 88:1993;669-679.
2. Chib S., Hamilton B.H. Bayesian analysis of cross-section and clustered data treatment models. Journal of Econometrics. 97:2000;25-50.
3. Chib S., Greenberg E., Winkelmann R. Posterior simulation and Bayes factor in panel count data models. Journal of Econometrics. 86:1998;33-54.
4. Crepon B., Duguet E. Research and development, competition and innovation. pseudo-maximum likelihood and simulated maximum likelihood methods applied to count data models with heterogeneity Journal of Econometrics. 79:1997;355-378.
5. Deb P., Trivedi P.K. Demand for medical care by the elderly. a finite mixture approach Journal of Applied Econometrics. 12:1997;313-336.
6. Devroye L. Non-Uniform Random Variate Generation. 1986;Springer, New York.
7. Dowd B., Feldman R., Cassou S., Finch M. Health plan choice and utilization of health care services. Review of Economics and Statistics. 73:1991;85-93.
8. Draper D. Assessment and propagation of model uncertainty. Journal of the Royal Statistical Society, Series B. 57:1995;45-97.
9. Geman S., Geman D. Stochastic relaxation, Gibbs distribution and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence. 12:1984;609-628.
10. Geweke, J., 1991. Efficient simulation from the multivariate normal and Student- t distributions subject to linear constraints. In: Keramidas, E.M. (Ed.), Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface, pp. 571-578.
11. Goldman D.P. Managed care as a public cost-containment mechanism. Rand Journal of Economics. 26:1995;277-295.
12. Greene, W.H., 1997. FIML estimation of sample selection models for count data. Discussion Paper EC-97-02, Department of Economics, Stern School of Business, New York University.
13. Hastings W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika. 57:1970;97-109.
14. Heckman J.J. The common structure of statistical models of truncation, sample selection and limited dependent variables and a simple estimator for such models. Annals of Economic and Social Measurement. 5:1976;475-492.
15. Heckman J.J. Causal parameters and policy analysis in economics. a twentieth century retrospective Quarterly Journal of Economics. 115(1):2000;45-97.
16. Johnson M. Multivariate Statistical Simulation. 1987;Wiley, New York.
17. Kass R.E., Raftery A.E. Bayes factors. Journal of American Statistical Association. 90:1995;773-795.
18. Kemper P., Reschovsky J.D., Tu H.T. Do HMOs make a difference? Summary and implications. Inquiry. 36:2000;419-425.
19. Koop G., Poirier D.J. Learning about the across-regime correlation in switching regression models. Journal of Econometrics. 78:1997;217-227.
20. Lee, L.-F., 2000. Self-selection. In: Baltagi, B.H. (Ed.), A Companion to Theoretical Econometrics. Blackwell, Oxford (Chapter 18).
21. Li K. Bayesian inference in a simultaneous equation model with limited dependent variables. Journal of Econometrics. 85:1998;387-400.
22. Linardakis, M., Dellaportas, P., 1999. Bayesian analysis of latent utilities for transportation services via extensions of the multinomial probit model. Working paper, Athens University of Economics and Business.
23. Maddala G.S. A survey of the literature on selectivity bias as it pertains to health care markets. Health Economics and Health Services Research. 6:1985;3-18.
24. McCulloch R.E., Rossi P.E. An exact likelihood analysis of the multinomial probit model. Journal of Econometrics. 64:1994;207-240.
25. McCulloch R.E., Polson N.G., Rossi P.E. A Bayesian analysis of the multinomial probit model with fully identified parameters. Journal of Econometrics. 99:2000;173-193.
26. McManus D.A. How common is identification in parametric models? Journal of Econometrics. 53(1-3):1992;5-23.
27. Mello M.M., Stearns S.C., Norton E.C. Do medicare HMOs still reduce health service use after controlling for selection bias? Health Economics. 11:2002;323-340.
28. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H., Teller E. Equations of state calculations by fast computing machines. Journal of Chemical Physics. 21:1953;1087-1092.
29. Miller R.H., Luft H.S. Managed care plan performance since 1980. Journal of American Medical Association. 271:1994;1512-1519.
30. Miller R.H., Luft H.S. Does managed care lead to better or worse quality of care? Health Affairs. 16:1997;7-25.
31. Munkin, M.K., Trivedi, P.K., 2000. Analysis of patterns of healthcare utilization among the elderly using mixed discrete-continuous models with unobserved heterogeneity. Working paper.
32. Nobile A. A hybrid Markov chain for the Bayesian analysis of the multinomial probit model. Statistics and Computing. 8:1998;229-242.
33. Nobile A. Comment. Bayesian multinomial probit models with a normalization constraint Journal of Econometrics. 99:2000;335-345.
34. Reschovsky J.D. Do HMOs make a difference? Data and methods. Inquiry. 36:2000;378-389.
35. Reschovsky J.D., Kemper P. Do HMOs make a difference? Introduction. Inquiry. 36:2000;374-377.
36. Tanner M.A., Wong W.H. The calculation of posterior distribution by data augmentation. Journal of American Statistical Association. 82:1987;528-540.
37. Terza J.V. Estimating count data models with endogenous switching. sample selection and endogenous treatment effects Journal of Econometrics. 84:1998;129-154.
38. Tu H.T., Kemper P., Wong H.J. Do HMOs make a difference? Use of health services. Inquiry. 36:2000;401-410.
39. van Ophem H. Modeling selectivity in count data models. Journal of Business and Economic Statistics. 18:2000;503-510.
40. Verdinelli I., Wasserman L. Computing Bayes factors using a generalization of the Savage-Dickey density ratio. Journal of American Statistical Association. 90:1995;614-618.
41. Winkelmann R. Count data models with selectivity. Econometric Reviews. 17:1998;339-359.
42. Zellner A. An Introduction to Bayesian Inference in Econometrics. 1971;Wiley, New York.