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A cautionary tale about control variables in IV estimation

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  • Deuchert, Eva
  • Huber, Martin

Abstract

Many instrumental variable (IV) regressions include control variables to justify (conditional) independence of the instrument and the potential outcomes. The plausibility of conditional IV independence crucially depends on the timing when the control variables are determined. This paper systemically works through different IV models and discusses the (conditions for the) satisfaction of conditional IV independence when controlling for covariates measured (a) prior to the instrument, (b) after the treatment, or (c) both. To illustrate these identification issues, we consider an empirical application using the Vietnam War draft risk as instrument either for veteran status or education to estimate the effects of these variables on labor market and health outcomes.

Suggested Citation

  • Deuchert, Eva & Huber, Martin, 2014. "A cautionary tale about control variables in IV estimation," FSES Working Papers 453, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
  • Handle: RePEc:fri:fribow:fribow00453
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    1. Jason M. Lindo & Charles Stoecker, 2014. "Drawn Into Violence: Evidence On “What Makes A Criminal” From The Vietnam Draft Lotteries," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 239-258, January.
    2. Joshua D. Angrist & Alan B. Krueger, 1991. "Estimating the Payoff to Schooling Using the Vietnam-era Draft Lottery," Working Papers 670, Princeton University, Department of Economics, Industrial Relations Section..
    3. Carlos Dobkin & Reza Shabani, 2009. "The Health Effects Of Military Service: Evidence From The Vietnam Draft," Economic Inquiry, Western Economic Association International, vol. 47(1), pages 69-80, January.
    4. Joshua D. Angrist & Alan B. Krueger, 2001. "Instrumental Variables and the Search for Identification: From Supply and Demand to Natural Experiments," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 69-85, Fall.
    5. Böhm, Sebastian & Grossmann, Volker & Steger, Thomas M., 2014. "Does Public Education Expansion Lead to Trickle-Down Growth?," FSES Working Papers 452, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
    6. Angrist, Joshua D. & Chen, Stacey H. & Frandsen, Brigham R., 2010. "Did Vietnam veterans get sicker in the 1990s? The complicated effects of military service on self-reported health," Journal of Public Economics, Elsevier, vol. 94(11-12), pages 824-837, December.
    7. Ravasi, Claudio & Salamin, Xavier & Davoine, Eric, 2013. "The challenge of dual career expatriate management in a specific host national environment: An exploratory study of expatriate and spouse adjustment in Switzerland based MNCs," FSES Working Papers 447, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
    8. Guido W. Imbens & Whitney K. Newey, 2009. "Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity," Econometrica, Econometric Society, vol. 77(5), pages 1481-1512, September.
    9. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, May.
    10. Martin Huber, 2014. "Identifying Causal Mechanisms (Primarily) Based On Inverse Probability Weighting," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(6), pages 920-943, September.
    11. Victor R. Fuchs, 1982. "Economic Aspects of Health," NBER Books, National Bureau of Economic Research, Inc, number fuch82-1.
    12. Kasey S. Buckles & Daniel M. Hungerman, 2013. "Season of Birth and Later Outcomes: Old Questions, New Answers," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 711-724, July.
    13. Kelly Bedard & Olivier Deschênes, 2006. "The Long-Term Impact of Military Service on Health: Evidence from World War II and Korean War Veterans," American Economic Review, American Economic Association, vol. 96(1), pages 176-194, March.
    14. Grimard, Franque & Parent, Daniel, 2007. "Education and smoking: Were Vietnam war draft avoiders also more likely to avoid smoking?," Journal of Health Economics, Elsevier, vol. 26(5), pages 896-926, September.
    15. Dalton Conley & Jennifer Heerwig, 2012. "The Long-Term Effects of Military Conscription on Mortality: Estimates From the Vietnam-Era Draft Lottery," Demography, Springer;Population Association of America (PAA), vol. 49(3), pages 841-855, August.
    16. Angrist, Joshua D, 1990. "Lifetime Earnings and the Vietnam Era Draft Lottery: Evidence from Social Security Administrative Records," American Economic Review, American Economic Association, vol. 80(3), pages 313-336, June.
    17. Kasy, Maximilian, "undated". "Instrumental variables with unrestricted heterogeneity and continuous treatment - DON'T CITE! SEE ERRATUM BELOW," Working Paper 33257, Harvard University OpenScholar.
    18. Karim Chalak & Halbert White, 2011. "Viewpoint: An extended class of instrumental variables for the estimation of causal effects," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 44(1), pages 1-51, February.
    19. Dalton Conley & Jennifer Heerwig, 2011. "The War at Home: Effects of Vietnam-Era Military Service on Post-War Household Stability," NBER Working Papers 16671, National Bureau of Economic Research, Inc.
    20. Thomas Lemieux & David Card, 2001. "Going to College to Avoid the Draft: The Unintended Legacy of the Vietnam War," American Economic Review, American Economic Association, vol. 91(2), pages 97-102, May.
    21. Dalton Conley & Jennifer Heerwig, 2011. "The War at Home: Effects of Vietnam-Era Military Service on Postwar Household Stability," American Economic Review, American Economic Association, vol. 101(3), pages 350-354, May.
    22. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    23. Eva Deuchert & Martin Huber, 2017. "A Cautionary Tale About Control Variables in IV Estimation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(3), pages 411-425, June.
    24. 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.
    25. Abadie, Alberto, 2003. "Semiparametric instrumental variable estimation of treatment response models," Journal of Econometrics, Elsevier, vol. 113(2), pages 231-263, April.
    26. Victor R. Fuchs, 1982. "Time Preference and Health: An Exploratory Study," NBER Chapters, in: Economic Aspects of Health, pages 93-120, National Bureau of Economic Research, Inc.
    27. Ofer Malamud & Abigail K. Wozniak, 2010. "The Impact of College Education on Geographic Mobility: Identifying Education Using Multiple Components of Vietnam Draft Risk," NBER Working Papers 16463, National Bureau of Economic Research, Inc.
    28. Chaudhuri, Saraswata & Rose, Elaina, 2009. "Estimating the Veteran Effect with Endogenous Schooling When Instruments Are Potentially Weak," IZA Discussion Papers 4203, Institute of Labor Economics (IZA).
    29. Dionissi Aliprantis, 2013. "Covariates and causal effects: the problem of context," Working Papers (Old Series) 1310, Federal Reserve Bank of Cleveland.
    30. Hau Chyi & Orgul Demet Ozturk, 2013. "The Effects Of Single Mothers' Welfare Use And Employment Decisions On Children'S Cognitive Development," Economic Inquiry, Western Economic Association International, vol. 51(1), pages 675-706, January.
    31. Shelly Lundberg, 2005. "Sons, Daughters, and Parental Behaviour," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 21(3), pages 340-356, Autumn.
    32. Angrist, Joshua D, 1990. "Lifetime Earnings and the Vietnam Era Draft Lottery: Evidence from Social Security Administrative Records: Errata," American Economic Review, American Economic Association, vol. 80(5), pages 1284-1286, December.
    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. de Luna Xavier & Johansson Per, 2014. "Testing for the Unconfoundedness Assumption Using an Instrumental Assumption," Journal of Causal Inference, De Gruyter, vol. 2(2), pages 187-199, September.
    35. Lechner, Michael, 2008. "A note on endogenous control variables in causal studies," Statistics & Probability Letters, Elsevier, vol. 78(2), pages 190-195, February.
    36. Samuel Bazzi & Michael A. Clemens, 2013. "Blunt Instruments: Avoiding Common Pitfalls in Identifying the Causes of Economic Growth," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(2), pages 152-186, April.
    37. Joshua Angrist & Alan Krueger, 2001. "Instrumental Variables and the Search for Identification: From Supply and Demand to Natural Experiments," Working Papers 834, Princeton University, Department of Economics, Industrial Relations Section..
    38. Fuchs, Victor R. (ed.), 1982. "Economic Aspects of Health," National Bureau of Economic Research Books, University of Chicago Press, number 9780226267852, September.
    39. Joshua D. Angrist & Stacey H. Chen, 2011. "Schooling and the Vietnam-Era GI Bill: Evidence from the Draft Lottery," American Economic Journal: Applied Economics, American Economic Association, vol. 3(2), pages 96-118, April.
    40. de Walque, Damien, 2007. "Does education affect smoking behaviors?: Evidence using the Vietnam draft as an instrument for college education," Journal of Health Economics, Elsevier, vol. 26(5), pages 877-895, September.
    41. Halbert White & Xun Lu, 2011. "Causal Diagrams for Treatment Effect Estimation with Application to Efficient Covariate Selection," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1453-1459, November.
    42. Huber, Martin, 2012. "Identifying causal mechanisms in experiments (primarily) based on inverse probability weighting," Economics Working Paper Series 1213, University of St. Gallen, School of Economics and Political Science, revised May 2013.
    43. Edward Vytlacil, 2002. "Independence, Monotonicity, and Latent Index Models: An Equivalence Result," Econometrica, Econometric Society, vol. 70(1), pages 331-341, January.
    44. Douglas H. Frank, 2012. "As Luck Would Have It: The Effect of the Vietnam Draft Lottery on Long-Term Career Outcomes," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 51(2), pages 247-274, April.
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    5. Xintong Wang & Alfonso Flores-Lagunes, 2022. "Conscription and Military Service: Do They Result in Future Violent and Nonviolent Incarcerations and Recidivism?," Journal of Human Resources, University of Wisconsin Press, vol. 57(5), pages 1715-1757.
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    10. Masayuki Sawada, 2019. "Noncompliance in randomized control trials without exclusion restrictions," Papers 1910.03204, arXiv.org, revised Jun 2021.
    11. Bensch, Gunther & Gotz, Gunnar & Peters, Jörg, 2020. "Effects of rural electrification on employment: A comment on Dinkelman (2011)," Ruhr Economic Papers 840, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
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    More about this item

    Keywords

    instrument; control variables; conditional independence; covariates;
    All these keywords.

    JEL classification:

    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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