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Empirically probing the quantity-quality model

Author

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  • Emla Fitzsimons

    (Institute for Fiscal Studies and University College London)

  • Bansi Malde

    (Institute for Fiscal Studies and University of Kent)

Abstract

This paper tests whether family size has a causal effect on girls' education in Mexico. It exploits son preference as the main source of random variation in the propensity to have more children, and estimates causal effects using instrumental variables. Overall, it finds no evidence of family size having an adverse effect on education, once the endogeneity of family size is accounted for. Results are robust to another commonly used instrument in this literature, the occurrence of twin births. A divisive concern throughout this literature is that the instruments are invalid, so that inferences including policy recommendations may be misleading. An important contribution of this paper is to allow for the possibility that the instruments are invalid and to provide an answer to the question of just how much the assumption of instrument exogeneity drives findings. It concludes that the assumption of exogeneity does not affect the results that much, and the effects of family size on girls' schooling remain extremely modest at most.

Suggested Citation

  • Emla Fitzsimons & Bansi Malde, 2010. "Empirically probing the quantity-quality model," IFS Working Papers W10/20, Institute for Fiscal Studies.
  • Handle: RePEc:ifs:ifsewp:10/20
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    References listed on IDEAS

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    1. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2010. "Small Family, Smart Family? Family Size and the IQ Scores of Young Men," Journal of Human Resources, University of Wisconsin Press, vol. 45(1).
    2. Kenneth I. Wolpin & Mark R. Rosenzweig, 2000. "Natural "Natural Experiments" in Economics," Journal of Economic Literature, American Economic Association, vol. 38(4), pages 827-874, December.
    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. Becker, Gary S & Tomes, Nigel, 1976. "Child Endowments and the Quantity and Quality of Children," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 143-162, August.
    5. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2005. "The More the Merrier? The Effect of Family Size and Birth Order on Children's Education," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 669-700.
    6. Imbens, G. & Angrist, J.D., 1992. "Average Causal Response with Variable Treatment Intensity," Harvard Institute of Economic Research Working Papers 1611, Harvard - Institute of Economic Research.
    7. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2011. "Older and Wiser? Birth Order and IQ of Young Men," CESifo Economic Studies, CESifo Group, vol. 57(1), pages 103-120, March.
    8. Gary S. Becker & H. Gregg Lewis, 1974. "Interaction between Quantity and Quality of Children," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 81-90, National Bureau of Economic Research, Inc.
    9. Subramanian, Shankar & Deaton, Angus, 1996. "The Demand for Food and Calories," Journal of Political Economy, University of Chicago Press, vol. 104(1), pages 133-162, February.
    10. 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.
    11. Hongbin Li & Junsen Zhang & Yi Zhu, 2008. "The quantity-Quality trade-Off of children In a developing country: Identification using chinese twins," Demography, Springer;Population Association of America (PAA), vol. 45(1), pages 223-243, February.
    12. Angelucci, Manuela & De Giorgi, Giacomo & Rangel, Marcos A. & Rasul, Imran, 2010. "Family networks and school enrolment: Evidence from a randomized social experiment," Journal of Public Economics, Elsevier, vol. 94(3-4), pages 197-221, April.
    13. Daniel L. Millimet & Le Wang, 2011. "Is the Quantity-Quality Trade-Off a Trade-Off for All, None, or Some?," Economic Development and Cultural Change, University of Chicago Press, vol. 60(1), pages 155-195.
    14. 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.
    15. Schultz, T. Paul, 2008. "Population Policies, Fertility, Women's Human Capital, and Child Quality," Handbook of Development Economics, in: T. Paul Schultz & John A. Strauss (ed.), Handbook of Development Economics, edition 1, volume 4, chapter 52, pages 3249-3303, Elsevier.
    16. Xiaoyu Wu & Lixing Li, 2012. "Family size and maternal health: evidence from the One-Child policy in China," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(4), pages 1341-1364, October.
    17. Vladimir Ponczek & Andre Portela Souza, 2012. "New Evidence of the Causal Effect of Family Size on Child Quality in a Developing Country," Journal of Human Resources, University of Wisconsin Press, vol. 47(1), pages 64-106.
    18. Dalton Conley & Rebecca Glauber, 2006. "Parental Educational Investment and Children’s Academic Risk: Estimates of the Impact of Sibship Size and Birth Order from Exogenous Variation in Fertility," Journal of Human Resources, University of Wisconsin Press, vol. 41(4).
    19. Oster, Emily, 2009. "Does increased access increase equality? Gender and child health investments in India," Journal of Development Economics, Elsevier, vol. 89(1), pages 62-76, May.
    20. Joshua D. Angrist, 2004. "Treatment effect heterogeneity in theory and practice," Economic Journal, Royal Economic Society, vol. 114(494), pages 52-83, March.
    21. 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.
    22. Rosenzweig, Mark R & Wolpin, Kenneth I, 1980. "Testing the Quantity-Quality Fertility Model: The Use of Twins as a Natural Experiment," Econometrica, Econometric Society, vol. 48(1), pages 227-240, January.
    23. Chakravarty Abhishek, 2010. "Supply Shocks and Gender Bias in Child Health Investments: Evidence from the ICDS Programme in India," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-26, September.
    24. Suzanne Duryea & Sebastian Galiani & Hugo Ñopo & Claudia Piras, 2007. "The Educational Gender Gap in Latin America and the Caribbean," Research Department Publications 4510, Inter-American Development Bank, Research Department.
    25. Suzanne Duryea & Sebastian Galiani & Hugo Ñopo & Claudia Piras, 2007. "The Educational Gender Gap in Latin America and the Caribbean," Research Department Publications 4510, Inter-American Development Bank, Research Department.
    26. Chiara Binelli & Orazio Attanasio, 2010. "Mexico in the 1990s: the Main Cross-Sectional Facts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(1), pages 238-264, January.
    27. 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.
    28. Jim Airola & Chinhui Juhn, 2008. "Wage Inequality in Post-Reform Mexico," Journal of Income Distribution, Ad libros publications inc., vol. 17(1), pages 110-134, March.
    29. Jorg Stoye, 2009. "More on Confidence Intervals for Partially Identified Parameters," Econometrica, Econometric Society, vol. 77(4), pages 1299-1315, July.
    30. V. Bhaskar, 2011. "Sex Selection and Gender Balance," American Economic Journal: Microeconomics, American Economic Association, vol. 3(1), pages 214-244, February.
    31. Manuela Angelucci & Giacomo de Giorgi & Imran Rasul & Marcos A. Rangel, 2010. "Insurance and Investment within Family Networks," Working Papers id:2649, eSocialSciences.
    32. Kristin F. Butcher & Anne Case, 1994. "The Effect of Sibling Sex Composition on Women's Education and Earnings," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 531-563.
    33. Paul Schultz, T., 2004. "School subsidies for the poor: evaluating the Mexican Progresa poverty program," Journal of Development Economics, Elsevier, vol. 74(1), pages 199-250, June.
    34. Behrman, Jere R & Sengupta, Piyali & Todd, Petra, 2005. "Progressing through PROGRESA: An Impact Assessment of a School Subsidy Experiment in Rural Mexico," Economic Development and Cultural Change, University of Chicago Press, vol. 54(1), pages 237-275, October.
    35. Nancy Qian, 2009. "Quantity-Quality and the One Child Policy:The Only-Child Disadvantage in School Enrollment in Rural China," NBER Working Papers 14973, National Bureau of Economic Research, Inc.
    36. V. Bhaskar, 2011. "Corrigendum: Sex Selection and Gender Balance," American Economic Journal: Microeconomics, American Economic Association, vol. 3(2), pages 252-253, May.
    37. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240, National Bureau of Economic Research, Inc.
    38. Jorge M. Aguero & Mindy S. Marks, 2008. "Motherhood and Female Labor Force Participation: Evidence from Infertility Shocks," American Economic Review, American Economic Association, vol. 98(2), pages 500-504, May.
    39. Daniel Rosenblum, 2013. "The effect of fertility decisions on excess female mortality in India," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 147-180, January.
    40. Behrman, Jere R & Rosenzweig, Mark R & Taubman, Paul, 1994. "Endowments and the Allocation of Schooling in the Family and in the Marriage Market: The Twins Experiment," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1131-1174, December.
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    More about this item

    JEL classification:

    • I20 - Health, Education, and Welfare - - Education - - - General
    • J13 - Labor and Demographic Economics - - Demographic Economics - - - Fertility; Family Planning; Child Care; Children; Youth
    • J16 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Gender; Non-labor Discrimination

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