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Testing the Validity of the Sibling Sex Ratio Instrument

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  • Martin Huber

Abstract

We test the validity of the sibling sex ratio instrument suggested by Angrist and Evans using the methods proposed by Kitagawa and Huber and Mellace. The sex ratio of the first two siblings is arguably randomly assigned and influences the probability of having a third child, which makes it a candidate instrument for fertility when estimating the effect of fertility on female labor supply. However, identification hinges on the random assignment of the instrument, an instrumental exclusion restriction, and the monotonicity of fertility in the instrument. We find that the instrumental variable tests of Kitagawa and Huber and Mellace do not point to a violation of these assumptions in the Angrist and Evans data (which can, however, not be ruled out even asymptotically as the tests cannot detect all possible violations).

Suggested Citation

  • Martin Huber, 2015. "Testing the Validity of the Sibling Sex Ratio Instrument," LABOUR, CEIS, vol. 29(1), pages 1-14, March.
  • Handle: RePEc:bla:labour:v:29:y:2015:i:1:p:1-14
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    File URL: http://hdl.handle.net/10.1111/labr.12045
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    1. Iacovou, Maria, 2001. "Fertility and female labour supply," ISER Working Paper Series 2001-19, Institute for Social and Economic Research.
    2. Cruces, Guillermo & Galiani, Sebastian, 2007. "Fertility and female labor supply in Latin America: New causal evidence," Labour Economics, Elsevier, vol. 14(3), pages 565-573, June.
    3. Gordon B. Dahl & Enrico Moretti, 2008. "The Demand for Sons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1085-1120.
    4. Yoram Ben-Porath & Finis Welch, 1976. "Do Sex Preferences Really Matter?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(2), pages 285-307.
    5. Angrist, Joshua D & Evans, William N, 1998. "Children and Their Parents' Labor Supply: Evidence from Exogenous Variation in Family Size," American Economic Review, American Economic Association, vol. 88(3), pages 450-477, June.
    6. Huber, Martin, 2014. "Sensitivity checks for the local average treatment effect," Economics Letters, Elsevier, vol. 123(2), pages 220-223.
    7. Aviv Nevo & Adam M. Rosen, 2012. "Identification With Imperfect Instruments," The Review of Economics and Statistics, MIT Press, vol. 94(3), pages 659-671, August.
    8. Joseph G. Altonji & Todd E. Elder & Christopher R. Taber, 2005. "An Evaluation of Instrumental Variable Strategies for Estimating the Effects of Catholic Schooling," Journal of Human Resources, University of Wisconsin Press, vol. 40(4), pages 791-821.
    9. Goux, Dominique & Maurin, Eric, 2005. "The effect of overcrowded housing on children's performance at school," Journal of Public Economics, Elsevier, vol. 89(5-6), pages 797-819, June.
    10. Jungmin Lee, 2008. "Sibling size and investment in children’s education: an asian instrument," Journal of Population Economics, Springer;European Society for Population Economics, vol. 21(4), pages 855-875, October.
    11. Donald, Stephen G. & Hsu, Yu-Chin, 2011. "A new test for linear inequality constraints when the variance–covariance matrix depends on the unknown parameters," Economics Letters, Elsevier, vol. 113(3), pages 241-243.
    12. Horowitz, Joel L & Manski, Charles F, 1995. "Identification and Robustness with Contaminated and Corrupted Data," Econometrica, Econometric Society, vol. 63(2), pages 281-302, March.
    13. Joshua D. Angrist & Alan B. Keueger, 1991. "Does Compulsory School Attendance Affect Schooling and Earnings?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 979-1014.
    14. Joshua Angrist & Victor Lavy & Analia Schlosser, 2010. "Multiple Experiments for the Causal Link between the Quantity and Quality of Children," Journal of Labor Economics, University of Chicago Press, vol. 28(4), pages 773-824, 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. Jin‐young Choi & Myoung‐jae Lee, 2012. "Bounding endogenous regressor coefficients using moment inequalities and generalized instruments," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 66(2), pages 161-182, May.
    17. Ashenfelter, Orley & Krueger, Alan B, 1994. "Estimates of the Economic Returns to Schooling from a New Sample of Twins," American Economic Review, American Economic Association, vol. 84(5), pages 1157-1173, December.
    18. Fabrizia Mealli & Barbara Pacini, 2013. "Using Secondary Outcomes to Sharpen Inference in Randomized Experiments With Noncompliance," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(503), pages 1120-1131, September.
    19. Guido W. Imbens & Donald B. Rubin, 1997. "Estimating Outcome Distributions for Compliers in Instrumental Variables Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(4), pages 555-574.
    20. Abadie A., 2002. "Bootstrap Tests for Distributional Treatment Effects in Instrumental Variable Models," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 284-292, March.
    21. Dalton Conley & Rebecca Glauber, 2005. "Parental Educational Investment and Children's Academic Risk: Estimates of the Impact of Sibship Size and Birth Order from Exogenous Variations in Fertility," NBER Working Papers 11302, National Bureau of Economic Research, Inc.
    22. Michael P. Murray, 2006. "Avoiding Invalid Instruments and Coping with Weak Instruments," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 111-132, Fall.
    23. Christopher J. Bennett, 2009. "Consistent and Asymptotically Unbiased MinP Tests of Multiple Inequality Moment Restrictions," Vanderbilt University Department of Economics Working Papers 0908, Vanderbilt University Department of Economics.
    24. Toru Kitagawa, 2009. "Identification region of the potential outcome distributions under instrument independence," CeMMAP working papers CWP30/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    25. Carlos A. Flores & Alfonso Flores-Lagunes, 2013. "Partial Identification of Local Average Treatment Effects With an Invalid Instrument," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(4), pages 534-545, October.
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    Cited by:

    1. Sara Cools & Simen Markussen & Marte Strøm, 2017. "Children and Careers: How Family Size Affects Parents’ Labor Market Outcomes in the Long Run," Demography, Springer;Population Association of America (PAA), vol. 54(5), pages 1773-1793, October.
    2. Stacey H. Chen & Yen-Chien Chen & Jin-Tan Liu, 2019. "The Impact of Family Composition on Educational Achievement," Journal of Human Resources, University of Wisconsin Press, vol. 54(1), pages 122-170.
    3. Thomas Carr & Toru Kitagawa, 2021. "Testing Instrument Validity with Covariates," Papers 2112.08092, arXiv.org, revised Sep 2023.
    4. Julia Schmieder, 2020. "Fertility as a Driver of Maternal Employment," Discussion Papers of DIW Berlin 1882, DIW Berlin, German Institute for Economic Research.
    5. James Bisbee & Rajeev Dehejia & Cristian Pop-Eleches & Cyrus Samii, 2017. "Local Instruments, Global Extrapolation: External Validity of the Labor Supply-Fertility Local Average Treatment Effect," Journal of Labor Economics, University of Chicago Press, vol. 35(S1), pages 99-147.
    6. Jan Priebe, 2020. "Quasi-experimental evidence for the causal link between fertility and subjective well-being," Journal of Population Economics, Springer;European Society for Population Economics, vol. 33(3), pages 839-882, July.
    7. Guber, Raphael, 2018. "Instrument Validity Tests with Causal Trees: With an Application to the Same-sex Instrument," MEA discussion paper series 201805, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    8. Janna Bergsvik & Sara Cools & Rannveig K. Hart, 2023. "Explaining Residential Clustering of Large Families," European Journal of Population, Springer;European Association for Population Studies, vol. 39(1), pages 1-28, December.
    9. Schmieder, Julia, 2021. "Fertility as a driver of maternal employment," Labour Economics, Elsevier, vol. 72(C).
    10. Öberg, Stefan, 2021. "The casual effect of fertility: The multiple problems with instrumental variables for the number of children in families," SocArXiv peuvz, Center for Open Science.

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