Panel Data Sample Selection Model: an Application to Employee Choice of Health Plan Type and Medical Cost Estimation
AbstractThis paper utilizes a nonparametric panel data sample selection model to correct selection bias in the analysis of longitudinal medical claims data. Selection bias in the health economics data is a common problem and many health economists have used Heckman type selection models in cross-sectional analyses. Since longitudinal data structure is common in health economics data, especially medical claims data, the correction of selection bias in the longitudinal sense is especially valuable for health economics related researches. The complicated modeling and extensive computer programming needs, however, resulted to only a few health economics researches in this direction. This paper suggests a relatively simple estimation framework to correct sample selection bias in longitudinal data. An example of health care utilization of PPO type plan holders in an employee pool is also provided as follows: in the first step, a random effect panel data probit model was used to estimate each employeeâ€™s choice between HMO type plans and PPO type plans; in the second step, a nonparametric fixed effect panel data selection model, using the estimates from the first step, was used to estimate the medical expenditures of PPO plan holders (similar to Kyriazidou, Econometrica 1997). Since the second step estimation can be expressed as a weighted least squares regression, this framework is simple to use, but among others, this nonparametric framework is robust from any parametric misspecification and free from a controversial health econometric problem called retransformation in two part model (Manning, Journal of Health Economics 1998; Mullahy, Journal of Health Economics 1998; Ai and Norton, Journal of Health Economics 2000). There are some interesting results from this example, but among others, the selection bias influenced significantly on the Age effect of medical expenditures. Since there were more young employees in the HMO plan holders, the Age effect of PPO plan holders was almost doubled after considering for selection bias
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Econometric Society in its series Econometric Society 2004 Far Eastern Meetings with number 560.
Date of creation: 11 Aug 2004
Date of revision:
Contact details of provider:
Phone: 1 212 998 3820
Fax: 1 212 995 4487
Web page: http://www.econometricsociety.org/pastmeetings.asp
More information through EDIRC
Sample Selection Model; Panel Data;
Find related papers by JEL classification:
- I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets
- C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Longitudinal Data; Spatial Time Series
- C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-10-30 (All new papers)
- NEP-BEC-2004-10-30 (Business Economics)
- NEP-DCM-2004-10-30 (Discrete Choice Models)
- NEP-HEA-2004-10-30 (Health Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492 National Bureau of Economic Research, Inc.
- Manning, Willard G., 1998. "The logged dependent variable, heteroscedasticity, and the retransformation problem," Journal of Health Economics, Elsevier, vol. 17(3), pages 283-295, June.
- Mullahy, John, 1998. "Much ado about two: reconsidering retransformation and the two-part model in health econometrics," Journal of Health Economics, Elsevier, vol. 17(3), pages 247-281, June.
- Manning, W. G. & Duan, N. & Rogers, W. H., 1987. "Monte Carlo evidence on the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 35(1), pages 59-82, May.
- Melissa W. Barringer & Olivia S. Mitchell, .
"Workers' Preferences Among Company-Provided Health Insurance Plans,"
Pension Research Council Working Papers
94-5, Wharton School Pension Research Council, University of Pennsylvania.
- Melissa W. Barringer & Olivia S. Mitchell, 1994. "Workers' preferences among company-provided health insurance plans," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 48(1), pages 141-152, October.
- Hay, Joel W & Leu, Robert & Rohrer, Paul, 1987. "Ordinary Least Squares and Sample-Selection Models of Health-Care Demand," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 499-506, October.
- Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
- Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January.
- Willard G. Manning Jr. & Charles E. Phelps, 1979. "The Demand for Dental Care," Bell Journal of Economics, The RAND Corporation, vol. 10(2), pages 503-525, Autumn.
- Paul V. Grootendorst, 1997. "Health care policy evaluation using longitudinal insurance claims data: An application of the Panel Tobit estimator," Health Economics, John Wiley & Sons, Ltd., vol. 6(4), pages 365-382.
- Hajivassiliou, Vassilis A & Ruud, Paul A., 1993.
"Classical Estimation Methods for LDV Models Using Simulation,"
Department of Economics, Working Paper Series
qt3cg196fr, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Hajivassiliou, Vassilis A. & Ruud, Paul A., 1986. "Classical estimation methods for LDV models using simulation," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 40, pages 2383-2441 Elsevier.
- Vassilis A. Hajivassiliou and Paul A. Ruud., 1993. "Classical Estimation Methods for LDV Models Using Simulation," Economics Working Papers 93-219, University of California at Berkeley.
- Vassilis A. Hajivassiliou & Paul A. Ruud, 1993. "Classical Estimation Methods for LDV Models Using Simulation," Cowles Foundation Discussion Papers 1051, Cowles Foundation for Research in Economics, Yale University.
- V.A. Hajivassiliou & P. A. Ruud, 1993. "Classical Estimation Methods for LDV Models Using Simulation," Econometrics 9311002, EconWPA.
- Andrew M. Jones, 2012.
The New Palgrave Dictionary of Economics,
- Altman, Daniel & Cutler, David M & Zeckhauser, Richard J, 1998. "Adverse Selection and Adverse Retention," American Economic Review, American Economic Association, vol. 88(2), pages 122-26, May.
- Roger Feldman & Michael Finch & Bryan Dowd & Steven Cassou, 1989. "The Demand for Employment-Based Health Insurance Plans," Journal of Human Resources, University of Wisconsin Press, vol. 24(1), pages 115-142.
- Hay, Joel W & Olsen, Randall J, 1984. "Let Them Eat Cake: A Note on Comparing Alternative Models of the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(3), pages 279-82, July.
- Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-44, September.
- Boozer, Michael A., 1997. "Econometric Analysis of Panel Data Badi H. Baltagi Wiley, 1995," Econometric Theory, Cambridge University Press, vol. 13(05), pages 747-754, October.
- Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
- Ben-Porath, Yoram, 1973. "Labor-Force Participation Rates and the Supply of Labor," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 697-704, May-June.
- Neudeck, Werner & Podczeck, Konrad, 1996. "Adverse selection and regulation in health insurance markets," Journal of Health Economics, Elsevier, vol. 15(4), pages 387-408, August.
- Manski, Charles F, 1987. "Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data," Econometrica, Econometric Society, vol. 55(2), pages 357-62, March.
- Ettner, Susan L., 1997. "Adverse selection and the purchase of Medigap insurance by the elderly," Journal of Health Economics, Elsevier, vol. 16(5), pages 543-562, October.
- Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-31, May.
- Van de ven, Wynand P.M.M. & Ellis, Randall P., 2000. "Risk adjustment in competitive health plan markets," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 14, pages 755-845 Elsevier.
- Buchmueller, Thomas C. & Feldstein, Paul J., 1997. "The effect of price on switching among health plans," Journal of Health Economics, Elsevier, vol. 16(2), pages 231-247, April.
- Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
- Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
- Ai, Chunrong & Norton, Edward C., 2000. "Standard errors for the retransformation problem with heteroscedasticity," Journal of Health Economics, Elsevier, vol. 19(5), pages 697-718, September.
- Chamberlain, Gary, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 225-38, January.
- Hsiao,Cheng, 2003.
"Analysis of Panel Data,"
Cambridge University Press, number 9780521522717.
- van de Ven, Wynand P. M. M. & van Vliet, ReneC. J. A., 1995. "Consumer information surplus and adverse selection in competitive health insurance markets: An empirical study," Journal of Health Economics, Elsevier, vol. 14(2), pages 149-169, June.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum).
If references are entirely missing, you can add them using this form.