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Missing data, imputation, and endogeneity

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  • McDonough, Ian K.
  • Millimet, Daniel L.

Abstract

Bassmann (1957, 1959) introduced two-stage least squares (2SLS). In subsequent work, Basmann et al. (1971) investigated its finite sample performance. Here we build on this tradition focusing on the issue of 2SLS estimation of a structural model when data on the endogenous covariate is missing for some observations. Many such imputation techniques have been proposed in the literature. However, there is little guidance available for choosing among existing techniques, particularly when the covariate being imputed is endogenous. Moreover, because the finite sample bias of 2SLS is not monotonically decreasing in the degree of measurement accuracy, the most accurate imputation method is not necessarily the method that minimizes the bias of 2SLS. Instead, we explore imputation methods designed to increase the first-stage strength of the instrument(s), even if such methods entail lower imputation accuracy. We do so via simulations as well as with an application related to the medium-run effects of birth weight.

Suggested Citation

  • McDonough, Ian K. & Millimet, Daniel L., 2017. "Missing data, imputation, and endogeneity," Journal of Econometrics, Elsevier, vol. 199(2), pages 141-155.
  • Handle: RePEc:eee:econom:v:199:y:2017:i:2:p:141-155
    DOI: 10.1016/j.jeconom.2017.05.006
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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Dardanoni, Valentino & Modica, Salvatore & Peracchi, Franco, 2011. "Regression with imputed covariates: A generalized missing-indicator approach," Journal of Econometrics, Elsevier, vol. 162(2), pages 362-368, June.
    3. Joseph G. Ibrahim & Ming-Hui Chen & Stuart R. Lipsitz & Amy H. Herring, 2005. "Missing-Data Methods for Generalized Linear Models: A Comparative Review," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 332-346, March.
    4. Horton, Nicholas J. & Kleinman, Ken P., 2007. "Much Ado About Nothing: A Comparison of Missing Data Methods and Software to Fit Incomplete Data Regression Models," The American Statistician, American Statistical Association, vol. 61, pages 79-90, February.
    5. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2007. "From the Cradle to the Labor Market? The Effect of Birth Weight on Adult Outcomes," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 409-439.
    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. Charles Baum, 2012. "The effects of food stamp receipt on weight gained by expectant mothers," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(4), pages 1307-1340, October.
    8. Raven Molloy & Christopher L. Smith & Abigail Wozniak, 2011. "Internal Migration in the United States," Journal of Economic Perspectives, American Economic Association, vol. 25(3), pages 173-196, Summer.
    9. Millimet, Daniel L., 2015. "Covariate measurement and endogeneity," Economics Letters, Elsevier, vol. 136(C), pages 59-63.
    10. Del Bono, Emilia & Ermisch, John, 2009. "Birth weight and the dynamics of early cognitive and behavioural development," ISER Working Paper Series 2009-16, Institute for Social and Economic Research.
    11. Gabriella Conti & James Heckman & Sergio Urzua, 2010. "The Education-Health Gradient," American Economic Review, American Economic Association, vol. 100(2), pages 234-238, May.
    12. James J. Heckman & Jora Stixrud & Sergio Urzua, 2006. "The Effects of Cognitive and Noncognitive Abilities on Labor Market Outcomes and Social Behavior," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 411-482, July.
    13. Rosemary Hyson & Janet Currie, 1999. "Is the Impact of Health Shocks Cushioned by Socioeconomic Status? The Case of Low Birthweight," American Economic Review, American Economic Association, vol. 89(2), pages 245-250, May.
    14. Stock, James H & Wright, Jonathan H & Yogo, Motohiro, 2002. "A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 518-529, October.
    15. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    16. Alfonso Flores-Lagunes, 2007. "Finite sample evidence of IV estimators under weak instruments," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 677-694.
    17. Philip Oreopoulos & Mark Stabile & Randy Walld & Leslie L. Roos, 2008. "Short-, Medium-, and Long-Term Consequences of Poor Infant Health: An Analysis Using Siblings and Twins," Journal of Human Resources, University of Wisconsin Press, vol. 43(1).
    18. David Figlio & Jonathan Guryan & Krzysztof Karbownik & Jeffrey Roth, 2014. "The Effects of Poor Neonatal Health on Children's Cognitive Development," American Economic Review, American Economic Association, vol. 104(12), pages 3921-3955, December.
    19. Case, Anne & Fertig, Angela & Paxson, Christina, 2005. "The lasting impact of childhood health and circumstance," Journal of Health Economics, Elsevier, vol. 24(2), pages 365-389, March.
    20. 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.
    21. Douglas Almond & Kenneth Y. Chay & David S. Lee, 2005. "The Costs of Low Birth Weight," The Quarterly Journal of Economics, Oxford University Press, vol. 120(3), pages 1031-1083.
    22. J. Ignacio Gimenez-Nadal & José Alberto Molina, 2016. "Commuting Time And Household Responsibilities: Evidence Using Propensity Score Matching," Journal of Regional Science, Wiley Blackwell, vol. 56(2), pages 332-359, March.
    23. Hahn, Jinyong & Hausman, Jerry, 2002. "Notes on bias in estimators for simultaneous equation models," Economics Letters, Elsevier, vol. 75(2), pages 237-241, April.
    24. Brandon J. Restrepo, 2016. "Parental investment responses to a low birth weight outcome: who compensates and who reinforces?," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(4), pages 969-989, October.
    25. Meyerhoefer, Chad D. & Pylypchuk, Vuriy, 2008. "AJAE Appendix: Does Participation in the Food Stamp Program Increase the Prevalence of Obesity and Health Care Spending?," American Journal of Agricultural Economics APPENDICES, Agricultural and Applied Economics Association, vol. 90(2), pages 1-6.
    26. repec:hal:journl:peer-00815561 is not listed on IDEAS
    27. repec:ucn:wpaper:10197/317 is not listed on IDEAS
    28. Cesur Resul & Kelly Inas Rashad, 2010. "From Cradle to Classroom: High Birth Weight and Cognitive Outcomes," Forum for Health Economics & Policy, De Gruyter, vol. 13(2), pages 1-26, March.
    29. Bun, Maurice J.G. & Windmeijer, Frank, 2011. "A comparison of bias approximations for the two-stage least squares (2SLS) estimator," Economics Letters, Elsevier, vol. 113(1), pages 76-79, October.
    30. Rebecca R. Andridge & Roderick J. A. Little, 2010. "A Review of Hot Deck Imputation for Survey Non‐response," International Statistical Review, International Statistical Institute, vol. 78(1), pages 40-64, April.
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    More about this item

    Keywords

    Imputation; Missing data; Instrumental variables; Birth weight; Childhood development;
    All these keywords.

    JEL classification:

    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth

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