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Regression discontinuity design with principal stratification in the mixed proportional hazard model: an application to the long-run impact of education on longevity

Author

Listed:
  • Govert E. Bijwaard

    (Netherlands Interdisciplinary Demographic Institute (NIDI-KNAW/University of Groningen))

  • Andrew M. Jones

    (University of York)

Abstract

We investigate the long-run impact of education on longevity using data for England and Wales from the Health and Lifestyle Survey. Longevity is modelled by survival analysis using a mixed proportional hazard model. For identification we propose a Regression Discontinuity Design implied by an increase in the minimum school leaving age in 1947 (from 14 to 15) combined with a principal stratification method for estimation of the mortality hazard rate. This method allows us to derive the causal effect of extended education on longevity. In line with earlier studies we do not find credible evidence of a causal impact of the additional years of schooling that were induced by the reform on longevity.

Suggested Citation

  • Govert E. Bijwaard & Andrew M. Jones, 2024. "Regression discontinuity design with principal stratification in the mixed proportional hazard model: an application to the long-run impact of education on longevity," Empirical Economics, Springer, vol. 67(1), pages 197-223, July.
  • Handle: RePEc:spr:empeco:v:67:y:2024:i:1:d:10.1007_s00181-023-02553-0
    DOI: 10.1007/s00181-023-02553-0
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    1. Hendrik Jürges & Eberhard Kruk & Steffen Reinhold, 2013. "The effect of compulsory schooling on health—evidence from biomarkers," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(2), pages 645-672, April.
    2. Constantine E. Frangakis & Donald B. Rubin, 2002. "Principal Stratification in Causal Inference," Biometrics, The International Biometric Society, vol. 58(1), pages 21-29, March.
    3. Govert E. Bijwaard & Per Tynelius & Mikko Myrskylä, 2019. "Education, cognitive ability, and cause-specific mortality: A structural approach," Population Studies, Taylor & Francis Journals, vol. 73(2), pages 217-232, May.
    4. Sebastian Calonico & Matias D. Cattaneo & Max H. Farrell & Rocío Titiunik, 2019. "Regression Discontinuity Designs Using Covariates," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 442-451, July.
    5. David S. Lee & Thomas Lemieux, 2010. "Regression Discontinuity Designs in Economics," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 281-355, June.
    6. Imbens, Guido W. & Lemieux, Thomas, 2008. "Regression discontinuity designs: A guide to practice," Journal of Econometrics, Elsevier, vol. 142(2), pages 615-635, February.
    7. Zhang, Junni L. & Rubin, Donald B. & Mealli, Fabrizia, 2009. "Likelihood-Based Analysis of Causal Effects of Job-Training Programs Using Principal Stratification," Journal of the American Statistical Association, American Statistical Association, vol. 104(485), pages 166-176.
    8. Govert E. Bijwaard & Andrew M. Jones, 2019. "An IPW estimator for mediation effects in hazard models: with an application to schooling, cognitive ability and mortality," Empirical Economics, Springer, vol. 57(1), pages 129-175, July.
    9. Hans van Kippersluis, & Owen O’Donnell & Eddy van Doorslaer, 2011. "Long-Run Returns to Education: Does Schooling Lead to an Extended Old Age?," Journal of Human Resources, University of Wisconsin Press, vol. 46(4), pages 695-721.
    10. Toru Kitagawa, 2015. "A Test for Instrument Validity," Econometrica, Econometric Society, vol. 83(5), pages 2043-2063, September.
    11. Ismael Mourifié & Yuanyuan Wan, 2017. "Testing Local Average Treatment Effect Assumptions," The Review of Economics and Statistics, MIT Press, vol. 99(2), pages 305-313, May.
    12. Bijwaard, Govert E. & van Kippersluis, Hans & Veenman, Justus, 2015. "Education and health: The role of cognitive ability," Journal of Health Economics, Elsevier, vol. 42(C), pages 29-43.
    13. Burt S. Barnow & Matias D. Cattaneo & Rocío Titiunik & Gonzalo Vazquez‐Bare, 2017. "Comparing Inference Approaches for RD Designs: A Reexamination of the Effect of Head Start on Child Mortality," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 36(3), pages 643-681, June.
    14. Damon Clark & Heather Royer, 2013. "The Effect of Education on Adult Mortality and Health: Evidence from Britain," American Economic Review, American Economic Association, vol. 103(6), pages 2087-2120, October.
    15. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    16. Adam Lenart, 2014. "The moments of the Gompertz distribution and maximum likelihood estimation of its parameters," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 2014(3), pages 255-277.
    17. Andrew M. Jones & Nigel Rice & Pedro Rosa Dias, 2011. "Long-Term Effects of School Quality on Health and Lifestyle: Evidence from Comprehensive Schooling Reforms in England," Journal of Human Capital, University of Chicago Press, vol. 5(3), pages 342-376.
    18. Basu, Anirban & Jones, Andrew M. & Dias, Pedro Rosa, 2018. "Heterogeneity in the impact of type of schooling on adult health and lifestyle," Journal of Health Economics, Elsevier, vol. 57(C), pages 1-14.
    19. Albouy, Valerie & Lequien, Laurent, 2009. "Does compulsory education lower mortality?," Journal of Health Economics, Elsevier, vol. 28(1), pages 155-168, January.
    20. Lee, David S., 2008. "Randomized experiments from non-random selection in U.S. House elections," Journal of Econometrics, Elsevier, vol. 142(2), pages 675-697, February.
    21. Jack Cuzick & Peter Sasieni & Jonathan Myles & Jonathan Tyrer, 2007. "Estimating the effect of treatment in a proportional hazards model in the presence of non‐compliance and contamination," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(4), pages 565-588, September.
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    More about this item

    Keywords

    Regression discontinuity design; Education; Mortality; Principal strata; Mixture models;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • I14 - Health, Education, and Welfare - - Health - - - Health and Inequality
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality

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