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Interpretation of Regressions with Multiple Proxies

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Author Info
Darren Lubotsky (University of Illinois at Urbana-Champaign)
Martin Wittenberg (University of Cape Town)

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Abstract

Multiple proxy variables are typically available for an unobserved explanatory variable in a regression. We provide a procedure by which the coefficient of interest can be estimated from a regression in which all the proxies are included simultaneously. This estimator is superior in large samples to the common practice of creating a summary measure of the proxy variables. We examine the relationship between parents' income and children's reading test scores in the United States, and between parents' assets and children's school enrollment in India, and demonstrate that the reduction in attenuation bias from a better use of proxy variables can be significant. Copyright by the President and Fellows of Harvard College and the Massachusetts Institute of Technology.

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Publisher Info
Article provided by MIT Press in its journal The Review of Economics and Statistics.

Volume (Year): 88 (2006)
Issue (Month): 3 (08)
Pages: 549-562
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Handle: RePEc:tpr:restat:v:88:y:2006:i:3:p:549-562

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. David M. Blau, 1999. "The Effect Of Income On Child Development," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 261-276, May. [Downloadable!] (restricted)
  2. Griliches, Zvi, 1986. "Economic data issues," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 25, pages 1465-1514 Elsevier. [Downloadable!] (restricted)
  3. Anne Case & Darren Lubotsky & Christina Paxson, 2001. "Economic Status and Health in Childhood: The Origins of the Gradient," NBER Working Papers 8344, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Mauro, Paolo, 1995. "Corruption and Growth," The Quarterly Journal of Economics, MIT Press, vol. 110(3), pages 681-712, August. [Downloadable!] (restricted)
  5. Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-29, June.
  6. Aigner, Dennis J. & Hsiao, Cheng & Kapteyn, Arie & Wansbeek, Tom, 1984. "Latent variable models in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 23, pages 1321-1393 Elsevier. [Downloadable!] (restricted)
  7. Solon, Gary, 1992. "Intergenerational Income Mobility in the United States," American Economic Review, American Economic Association, vol. 82(3), pages 393-408, June. [Downloadable!] (restricted)
  8. Leamer, Edward E., 1983. "Model choice and specification analysis," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 5, pages 285-330 Elsevier. [Downloadable!] (restricted)
  9. Filmer, Deon & Pritchett, Lant, 1998. "Estimating wealth effects without expenditure data - or tears : with an application to educational enrollments in states of India," Policy Research Working Paper Series 1994, The World Bank. [Downloadable!]
  10. Marianne Bertrand & Sendhil Mullainathan, 2001. "Do People Mean What They Say? Implications for Subjective Survey Data," American Economic Review, American Economic Association, vol. 91(2), pages 67-72, May. [Downloadable!] (restricted)
  11. Edward L. Glaeser & David I. Laibson & José A. Scheinkman & Christine L. Soutter, 2000. "Measuring Trust," The Quarterly Journal of Economics, MIT Press, vol. 115(3), pages 811-846, August. [Downloadable!] (restricted)
  12. Goldberger, Arthur S, 1972. "Structural Equation Methods in the Social Sciences," Econometrica, Econometric Society, vol. 40(6), pages 979-1001, November. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Filmer, Deon & Scott, Kinnon, 2008. "Assessing asset indices," Policy Research Working Paper Series 4605, The World Bank. [Downloadable!]
  2. Kourtellos, Andros & Tan, Chih Ming & Zhang, Xiaobo, 2007. "Is the relationship between aid and economic growth nonlinear?:," IFPRI discussion papers 694, International Food Policy Research Institute (IFPRI). [Downloadable!]
    Other versions:
  3. Acosta, Pablo, 2006. "Labor supply, school attendance, and remittances from international migration : the case of El Salvador," Policy Research Working Paper Series 3903, The World Bank. [Downloadable!]
  4. Wittenberg, Martin, 2007. "Testing for a common latent variable in a linear regression," MPRA Paper 2550, University Library of Munich, Germany. [Downloadable!]
  5. Roland G. Fryer & Paul S. Heaton & Steven D. Levitt & Kevin M. Murphy, 2005. "Measuring the Impact of Crack Cocaine," NBER Working Papers 11318, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Kamakshya Trivedi, . "Regional Convergence and Catch-up in India between 1960 and 1992," Economics Papers 2003-W01, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
  7. Jadotte, Evans, 2009. "International Migration, Remittances and Labour Supply: The Case of the Republic of Haiti," Working Papers UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER). [Downloadable!]
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