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Estimating Endogenous Ordered Response Panel Data Models with an Application to Income Gradient in Child Health

Author

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  • Kajal Lahiri

    (University at Albany)

  • Liu Yang

    (Nanjing University)

Abstract

In this paper, a control function approach is developed to deal with endogeneity issue in estimating panel data models with ordered response. This methodology is characterized by a two-step procedure, requiring only standard regression to be implemented in each step. To demonstrate the usefulness of our method, we investigate income gradient in child health based on U.S. data from the Panel Study of Income Dynamics. We find empirical evidence that income gradient rises during early childhood, followed by a decline after age 12. Ignoring endogeneity of family income and unobserved individual heterogeneity would underestimate the true gradient considerably.

Suggested Citation

  • Kajal Lahiri & Liu Yang, 2021. "Estimating Endogenous Ordered Response Panel Data Models with an Application to Income Gradient in Child Health," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 207-243, November.
    • Handle: RePEc:spr:sankhb:v:83:y:2021:i:2:d:10.1007_s13571-020-00232-z
    DOI: 10.1007/s13571-020-00232-z
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    as
    1. Amy Hsin & Christina Felfe, 2014. "When Does Time Matter? Maternal Employment, Children’s Time With Parents, and Child Development," Demography, Springer;Population Association of America (PAA), vol. 51(5), pages 1867-1894, October.
    2. Charles Courtemanche & Rusty Tchernis & Xilin Zhou, 2019. "Maternal Work Hours and Childhood Obesity: Evidence Using Instrumental Variables Related to Sibling School Eligibility," Journal of Human Capital, University of Chicago Press, vol. 13(4), pages 553-584.
    3. Arthur Lewbel, 2012. "Using Heteroscedasticity to Identify and Estimate Mismeasured and Endogenous Regressor Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(1), pages 67-80.
    4. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    5. repec:pri:cheawb:case_paxson_economic_status_paper is not listed on IDEAS
    6. Pinka Chatterji & Dohyung Kim & Kajal Lahiri, 2014. "Birth Weight And Academic Achievement In Childhood," Health Economics, John Wiley & Sons, Ltd., vol. 23(9), pages 1013-1035, September.
    7. Courtemanche, Charles & Tchernis, Rusty & Zhou, Xilin, 2017. "Parental Work Hours and Childhood Obesity: Evidence Using Instrumental Variables Related to Sibling School Eligibility," IZA Discussion Papers 10739, Institute of Labor Economics (IZA).
    8. Sandner, Malte & Jungmann, Tanja, 2016. "How much can we trust maternal ratings of early child development in disadvantaged samples?," Economics Letters, Elsevier, vol. 141(C), pages 73-76.
    9. Richard W. Blundell & James L. Powell, 2004. "Endogeneity in Semiparametric Binary Response Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 655-679.
    10. Yi Chen & Xiaoyan Lei & Li-An Zhou, 2017. "Does Raising Family Income Cause Better Child Health? Evidence from China," Economic Development and Cultural Change, University of Chicago Press, vol. 65(3), pages 495-520.
    11. Janet Currie & Mark Stabile, 2003. "Socioeconomic Status and Child Health: Why Is the Relationship Stronger for Older Children?," American Economic Review, American Economic Association, vol. 93(5), pages 1813-1823, December.
    12. Yingying Dong & Arthur Lewbel, 2015. "A Simple Estimator for Binary Choice Models with Endogenous Regressors," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 82-105, February.
    13. Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
    14. Chesher, Andrew & Smolinski, Konrad, 2012. "IV models of ordered choice," Journal of Econometrics, Elsevier, vol. 166(1), pages 33-48.
    15. Giles John & Murtazashvili Irina, 2013. "A Control Function Approach to Estimating Dynamic Probit Models with Endogenous Regressorsa," Journal of Econometric Methods, De Gruyter, vol. 2(1), pages 69-87, July.
    16. Wei, Lan & Feeny, David, 2019. "The dynamics of the gradient between child's health and family income: Evidence from Canada," Social Science & Medicine, Elsevier, vol. 226(C), pages 182-189.
    17. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    18. Rothe, Christoph, 2009. "Semiparametric estimation of binary response models with endogenous regressors," Journal of Econometrics, Elsevier, vol. 153(1), pages 51-64, November.
    19. Orla Doyle & Colm Harmon & Ian Walker, 2007. "The Impact of Parental Income and Education on Child Health. Further Evidence for England," Working Papers 200706, Geary Institute, University College Dublin.
    20. Munkin, Murat K. & Trivedi, Pravin K., 2008. "Bayesian analysis of the ordered probit model with endogenous selection," Journal of Econometrics, Elsevier, vol. 143(2), pages 334-348, April.
    21. repec:pri:cheawb:case_paxson_economic_status_paper.pdf is not listed on IDEAS
    22. Das, Marcel & van Soest, Arthur, 1999. "A panel data model for subjective information on household income growth," Journal of Economic Behavior & Organization, Elsevier, vol. 40(4), pages 409-426, December.
    23. Khanam, Rasheda & Nghiem, Hong Son & Connelly, Luke B., 2009. "Child health and the income gradient: Evidence from Australia," Journal of Health Economics, Elsevier, vol. 28(4), pages 805-817, July.
    24. Steffen Reinhold & Hendrik Jürges, 2012. "Parental income and child health in Germany," Health Economics, John Wiley & Sons, Ltd., vol. 21(5), pages 562-579, May.
    25. Simon Condliffe & Charles R. Link, 2008. "The Relationship between Economic Status and Child Health: Evidence from the United States," American Economic Review, American Economic Association, vol. 98(4), pages 1605-1618, September.
    26. Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
    27. Dhaval M. Dave & Muzhe Yang, 2019. "Maternal and Fetal Health Effects of Working during Pregnancy," NBER Working Papers 26343, National Bureau of Economic Research, Inc.
    28. Pinka Chatterji & Kajal Lahiri & Jingya Song, 2013. "The Dynamics Of Income‐Related Health Inequality Among American Children," Health Economics, John Wiley & Sons, Ltd., vol. 22(5), pages 623-629, May.
    29. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521194204, September.
    30. Anne Case & Darren Lubotsky & Christina Paxson, 2002. "Economic Status and Health in Childhood: The Origins of the Gradient," American Economic Review, American Economic Association, vol. 92(5), pages 1308-1334, December.
    31. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    32. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    33. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    34. Hiroyuki Kawakatsu & Ann G. Largey, 2009. "EM algorithms for ordered probit models with endogenous regressors," Econometrics Journal, Royal Economic Society, vol. 12(1), pages 164-186, March.
    35. Davillas, A.; Jones, A.M.; Benzeval, M.;, 2017. "The income-health gradient: Evidence from self-reported health and biomarkers using longitudinal data on income," Health, Econometrics and Data Group (HEDG) Working Papers 17/04, HEDG, c/o Department of Economics, University of York.
    36. Currie, Alison & Shields, Michael A. & Price, Stephen Wheatley, 2007. "The child health/family income gradient: Evidence from England," Journal of Health Economics, Elsevier, vol. 26(2), pages 213-232, March.
    37. Jason Fletcher & Barbara Wolfe, 2014. "Increasing Our Understanding Of The Health‐Income Gradient In Children," Health Economics, John Wiley & Sons, Ltd., vol. 23(4), pages 473-486, April.
    38. repec:ucn:wpaper:10197/1111 is not listed on IDEAS
    39. Kuehnle, Daniel, 2014. "The causal effect of family income on child health in the UK," Journal of Health Economics, Elsevier, vol. 36(C), pages 137-150.
    40. Swaminathan, Harini & Sharma, Anurag & Shah, Narendra G., 2019. "Does the relationship between income and child health differ across income groups? Evidence from India," Economic Modelling, Elsevier, vol. 79(C), pages 57-73.
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