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A Multiple State Duration Model with Endogenous Treatment

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  • Mroz, T.
  • Picone, G.

Abstract

This study develops a discrete multiple state duration model that al- lows for duration dependence, unmeasured heterogeneity, partial observ- ability of the state and endogenous time-varying treatment. Our econo- metric strategy has numerous potential empirical applications. We apply our duration model to the progression of diabetic neuropathy, a compli- cation of diabetes with four levels of progression, which if left untreated may lead to amputation. Our results show that the longer a person has diabetes without having being diagnosed (and treated) increases the prob- abilities of transitioning to a worse stage, death or amputation.

Suggested Citation

  • Mroz, T. & Picone, G., 2011. "A Multiple State Duration Model with Endogenous Treatment," Health, Econometrics and Data Group (HEDG) Working Papers 11/19, HEDG, c/o Department of Economics, University of York.
    • Handle: RePEc:yor:hectdg:11/19
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    References listed on IDEAS

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    1. Mroz, Thomas A., 1999. "Discrete factor approximations in simultaneous equation models: Estimating the impact of a dummy endogenous variable on a continuous outcome," Journal of Econometrics, Elsevier, vol. 92(2), pages 233-274, October.
    2. Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
    3. Jaap Abbring & James Heckman, 2008. "Dynamic policy analysis," CeMMAP working papers CWP05/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. James Heckman & Flavio Cunha, 2007. "The Technology of Skill Formation," American Economic Review, American Economic Association, vol. 97(2), pages 31-47, May.
    5. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-679, June.
    6. Heckman, James J. & Navarro, Salvador, 2007. "Dynamic discrete choice and dynamic treatment effects," Journal of Econometrics, Elsevier, vol. 136(2), pages 341-396, February.
    7. Jayanta Bhattacharya, 2005. "Specialty Selection and Lifetime Returns to Specialization Within Medicine," Journal of Human Resources, University of Wisconsin Press, vol. 40(1).
    8. Michael Lechner & Conny Wunsch, 2009. "Are Training Programs More Effective When Unemployment Is High?," Journal of Labor Economics, University of Chicago Press, vol. 27(4), pages 653-692, October.
    9. Liu, Haiyong & Mroz, Thomas & Adair, Linda, 2009. "Parental compensatory behaviors and early child health outcomes in Cebu, Philippines," Journal of Development Economics, Elsevier, vol. 90(2), pages 209-230, November.
    10. Gabriel Picone & Derek Brown & Frank Sloan & Paul Lee, 2004. "Do Routine Eye Exams Improve Vision?," International Journal of Health Economics and Management, Springer, vol. 4(1), pages 43-63, March.
    11. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1, July-Dece.
    12. Patrick Sevestre & Laszlo Matyas, 2008. "The Econometrics of Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00279977, HAL.
    13. Thomas A. Mroz & Timothy H. Savage, 2006. "The Long-Term Effects of Youth Unemployment," Journal of Human Resources, University of Wisconsin Press, vol. 41(2).
    14. Richardson, Katarina & van den Berg, Gerard J, 2008. "Duration dependence versus unobserved heterogeneity in treatment effects: Swedish labor market training and the transition rate to employment," Working Paper Series 2008:7, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    15. Jaap H. Abbring & Gerard J. van den Berg, 2003. "The Nonparametric Identification of Treatment Effects in Duration Models," Econometrica, Econometric Society, vol. 71(5), pages 1491-1517, September.
    16. Mroz, T.A. & Weir, D.R., 1988. "Structural Change In Life Cycle Fertility During The Fertility Transition: France Before And After The Revolution," University of Chicago - Economics Research Center 88-13, Chicago - Economics Research Center.
    17. Glewwe, Paul & Jacoby, Hanan G., 2004. "Economic growth and the demand for education: is there a wealth effect?," Journal of Development Economics, Elsevier, vol. 74(1), pages 33-51, June.
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    Cited by:

    1. Chatterji, Pinka & Joo, Heesoo & Lahiri, Kajal, 2017. "Diabetes and labor market exits: Evidence from the Health & Retirement Study (HRS)," The Journal of the Economics of Ageing, Elsevier, vol. 9(C), pages 100-110.

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    More about this item

    Keywords

    Multiple state duration model; endogenous treatment; discrete factors;
    All these keywords.

    JEL classification:

    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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