Panel Data Sample Selection Model: an Application to Employee Choice of Health Plan Type and Medical Cost Estimation
This 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
|Date of creation:||11 Aug 2004|
|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
References listed on IDEAS
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, 1994.
"Workers' Preferences among Company-Provided Health Insurance Plans,"
Cornell University, ILR School, vol. 48(1), pages 141-152, October.
- Melissa W. Barringer & Olivia S. Mitchell, "undated". "Workers' Preferences Among Company-Provided Health Insurance Plans," Pension Research Council Working Papers 94-5, Wharton School Pension Research Council, University of Pennsylvania.
- 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, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
- Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-161, January.
- 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., 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 & 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.
- 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.
- 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.
- V.A. Hajivassiliou & P. A. Ruud, 1993. "Classical Estimation Methods for LDV Models Using Simulation," Econometrics 9311002, EconWPA.
- Andrew M. Jones, 2012. "health econometrics," The New Palgrave Dictionary of Economics, Palgrave Macmillan.
- Jones, Andrew M., 2000. "Health econometrics," Handbook of Health Economics,in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 6, pages 265-344 Elsevier.
- Altman, Daniel & Cutler, David M & Zeckhauser, Richard J, 1998. "Adverse Selection and Adverse Retention," American Economic Review, American Economic Association, vol. 88(2), pages 122-126, 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 279-282, 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 829-844, 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 357-362, 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 505-531, 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.
- Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 225-238.
- 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. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:ecm:feam04:560. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.