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What Linear Estimators Miss: The E ects of Family Income on Child Outcomes

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This paper examines the causal relationship between family income and child out- comes. Motivated by theoretical predictions and OLS results suggesting a nonlinear relationship, we depart from previous studies in allowing the marginal e ects on children's outcomes of an increase in family income to vary across the income dis- tribution. Our nonlinear IV and xed-e ect estimates show an increasing, concave relationship between family income and children's outcomes. By decomposing the linear estimators, we show that the linear estimates miss the e ects of family in-come, because they assign little weight to the large marginal e ects in the lower part of the income distribution.

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File URL: http://www.uib.no/filearchive/wp02.11_2.pdf
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Paper provided by University of Bergen, Department of Economics in its series Working Papers in Economics with number 02/11.

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Length: 53 pages
Date of creation: 14 Jan 2011
Handle: RePEc:hhs:bergec:2011_002
Contact details of provider: Postal:
Institutt for økonomi, Universitetet i Bergen, Postboks 7802, 5020 Bergen, Norway

Phone: (+47)55589200
Fax: (+47)55589210
Web page: http://www.uib.no/econ/en
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  8. Solon, Gary, 1999. "Intergenerational mobility in the labor market," Handbook of Labor Economics,in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 29, pages 1761-1800 Elsevier.
  9. Philip Oreopoulos & Marianne Page & Ann Huff Stevens, 2008. "The Intergenerational Effects of Worker Displacement," Journal of Labor Economics, University of Chicago Press, vol. 26(3), pages 455-483, 07.
  10. Lance Lochner & Enrico Moretti, 2015. "Estimating and Testing Models with Many Treatment Levels and Limited Instruments," The Review of Economics and Statistics, MIT Press, vol. 97(2), pages 387-397, May.
  11. Daniela Del Boca & Christopher Flinn & Matthew Wiswall, 2014. "Household Choices and Child Development," Review of Economic Studies, Oxford University Press, vol. 81(1), pages 137-185.
  12. Gary S. Becker & Nigel Tomes, 1994. "Human Capital and the Rise and Fall of Families," NBER Chapters,in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education (3rd Edition), pages 257-298 National Bureau of Economic Research, Inc.
  13. Mogstad, Magne & Wiswall, Matthew, 2009. "How Much Should We Trust Linear Instrumental Variables Estimators? An Application to Family Size and Children's Education," IZA Discussion Papers 4562, Institute for the Study of Labor (IZA).
  14. Milligan, Kevin & Stabile, Mark, 2007. "The integration of child tax credits and welfare: Evidence from the Canadian National Child Benefit program," Journal of Public Economics, Elsevier, vol. 91(1-2), pages 305-326, February.
  15. Løken, Katrine V., 2010. "Family income and children's education: Using the Norwegian oil boom as a natural experiment," Labour Economics, Elsevier, vol. 17(1), pages 118-129, January.
  16. Becker, Gary S & Tomes, Nigel, 1979. "An Equilibrium Theory of the Distribution of Income and Intergenerational Mobility," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1153-1189, December.
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  18. Joshua D. Angrist & Kathryn Graddy & Guido W. Imbens, 2000. "The Interpretation of Instrumental Variables Estimators in Simultaneous Equations Models with an Application to the Demand for Fish," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 499-527.
  19. Lance Lochner & Enrico Moretti, 2011. "Estimating and Testing Non-Linear Models Using Instrumental Variables," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20112, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
  20. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
  21. Shea, John, 2000. "Does parents' money matter?," Journal of Public Economics, Elsevier, vol. 77(2), pages 155-184, August.
  22. Newey, Whitney K, 1990. "Semiparametric Efficiency Bounds," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(2), pages 99-135, April-Jun.
  23. Edward Vytlacil & James J. Heckman, 2001. "Policy-Relevant Treatment Effects," American Economic Review, American Economic Association, vol. 91(2), pages 107-111, May.
  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. Dan Maurice Levy & Greg Duncan, 2000. "Using Sibling Samples to Assess the Effect of Childhood Family Income on Completed Schooling," JCPR Working Papers 168, Northwestern University/University of Chicago Joint Center for Poverty Research.
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