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Extending Regression Discontinuity Models Beyond the Jump Point

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  • Ai, C
  • Norton, E
  • Yang, z

Abstract

This paper proposes a new estimation method for regression discontinuity models, allowing for estimation of a treatment effect beyond the jump point (with additional assumptions). The proposed procedure consistently estimates the treatment effect function, as well as the average outcome in the absence of treatment. The treatment effect estimator is root-N consistent. We apply the method to an important question in health economics–what is the effect of having Medicare insurance on admissions and health care costs after age 65? Our preferred models shows an increase in both admissions and costs after age 65 due to Medicare.

Suggested Citation

  • Ai, C & Norton, E & Yang, z, 2011. "Extending Regression Discontinuity Models Beyond the Jump Point," Health, Econometrics and Data Group (HEDG) Working Papers 11/17, HEDG, c/o Department of Economics, University of York.
    • Handle: RePEc:yor:hectdg:11/17
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    References listed on IDEAS

    as
    1. Newey, Whitney K., 1997. "Convergence rates and asymptotic normality for series estimators," Journal of Econometrics, Elsevier, vol. 79(1), pages 147-168, July.
    2. Hahn, Jinyong & Todd, Petra & Van der Klaauw, Wilbert, 2001. "Identification and Estimation of Treatment Effects with a Regression-Discontinuity Design," Econometrica, Econometric Society, vol. 69(1), pages 201-209, January.
    3. Manning, Willard G, et al, 1987. "Health Insurance and the Demand for Medical Care: Evidence from a Randomized Experiment," American Economic Review, American Economic Association, vol. 77(3), pages 251-277, June.
    4. David Card & Carlos Dobkin & Nicole Maestas, 2009. "Does Medicare Save Lives?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(2), pages 597-636.
    5. Gallant, A Ronald & Nychka, Douglas W, 1987. "Semi-nonparametric Maximum Likelihood Estimation," Econometrica, Econometric Society, vol. 55(2), pages 363-390, March.
    6. David Card & Carlos Dobkin & Nicole Maestas, 2008. "The Impact of Nearly Universal Insurance Coverage on Health Care Utilization: Evidence from Medicare," American Economic Review, American Economic Association, vol. 98(5), pages 2242-2258, December.
    7. Chunrong Ai & Xiaohong Chen, 2003. "Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions," Econometrica, Econometric Society, vol. 71(6), pages 1795-1843, November.
    8. Zhou Yang & Donna B. Gilleskie & Edward C. Norton, 2009. "Health Insurance, Medical Care, and Health Outcomes: A Model of Elderly Health Dynamics," Journal of Human Resources, University of Wisconsin Press, vol. 44(1).
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