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Galtonian Regression of Intergenerational Income Linkages : Biased Procedures, a New Estimator and Mean-Square Error Comparisons

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Author Info
Ramses H. ABUL NAGA

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Abstract

Because the permanent incomes of parents are children are typically unobserved, the estimation of the intergenerational correlation via the use of proxy variables entails an errors-in-variables bias. By solving a system of moment equations for income observed at a given year, and a T-period average of this variable, we derive an analytical form for the signal to total variance ratio. In turn, we propose a simple estimator of the intergenerational elasticity via division of the OLS estimator by this quantity. Estimates of the intergenerational elasticity derived from a PSID sample range between 0.34 and 0.69. The averaging estimator provides intermediary values between OLS and the proposed estimator. Persistence is higher for family income measures than labor market outcomes. Estimates generally increase for moving average specifications in comparison to the assumption that measurement errors are uncorrelated. The three estimators are further examined in the light of their mean-square errors (square bias plus variance).

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Publisher Info
Paper provided by Université de Lausanne, Faculté des HEC, DEEP in its series Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) with number 00.13.

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Length: 23 pages
Date of creation: Jun 2000
Date of revision:
Handle: RePEc:lau:crdeep:00.13

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Postal: Université de Lausanne, Faculté des HEC, DEEP, Internef, CH-1015 Lausanne
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Related research
Keywords: intergenerational mobility; Galtonian regression; errors in variables; mean-square errors;

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Find related papers by JEL classification:
I3 - Health, Education, and Welfare - - Welfare and Poverty
J62 - Labor and Demographic Economics - - Mobility, Unemployment, and Vacancies - - - Job, Occupational and Intergenerational Mobility; Promotion

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References listed on IDEAS
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. 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)
  2. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January. [Downloadable!] (restricted)
  3. Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-29, June.
  4. Solon, Gary, 1989. "Biases in the Estimation of Intergenerational Earnings Correlations," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 172-74, February. [Downloadable!] (restricted)
  5. Robert Haveman & Barbara Wolfe, 1995. "The Determinants of Children's Attainments: A Review of Methods and Findings," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1829-1878, December. [Downloadable!] (restricted)
  6. 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)
  7. Joseph G. Altonji & Thomas A. Dunn, 1991. "Relationships Among the Family Incomes and Labor Market Outcomes of Relatives," NBER Working Papers 3724, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Bjorklund, Anders & Jantti, Markus, 1997. "Intergenerational Income Mobility in Sweden Compared to the United States," American Economic Review, American Economic Association, vol. 87(5), pages 1009-18, December. [Downloadable!] (restricted)
  9. Ramses ABUL NAGA & Jaya KRISHNAKUMAR, 1999. "Panel Data Estimation of the Intergenerational Correlation of Incomes," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9910, Université de Lausanne, Faculté des HEC, DEEP. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
  11. Griliches, Zvi & Hausman, Jerry A., 1986. "Errors in variables in panel data," Journal of Econometrics, Elsevier, vol. 31(1), pages 93-118, February. [Downloadable!] (restricted)
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  12. Behrman, Jere R & Taubman, Paul, 1990. "The Intergenerational Correlation between Children's Adult Earnings and Their Parents' Income: Result from the Michigan Panel Survey of Income Dynamics," Review of Income and Wealth, Blackwell Publishing, vol. 36(2), pages 115-27, June.
  13. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-45, March. [Downloadable!] (restricted)
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  14. Bowles, Samuel, 1972. "Schooling and Inequality from Generation to Generation," Journal of Political Economy, University of Chicago Press, vol. 80(3), pages S219-S51, Part II, . [Downloadable!] (restricted)
  15. Dearden, Lorraine & Machin, Stephen & Reed, Howard, 1997. "Intergenerational Mobility in Britain," Economic Journal, Royal Economic Society, vol. 107(440), pages 47-66, January. [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. Jametti, Mario & von Ungern-Sternberg, Thomas, 2003. "Assessing the Efficiency of an Insurance Provider -- A Measurement Error Approach," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  2. Donal O'Neill & Olive Sweetman & Dirk van de Gaer, 2002. "Consequences of Specification Error for Distributional Analysis with an Application to Intergenerational Mobility," Economics, Finance and Accounting Department Working Paper Series n1110102, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth. [Downloadable!]
    Other versions:
  3. Ramses H. ABUL NAGA, 2001. "Biases of the Ordinary Least Squares and Instrumental Variables Estimators of the Intergenerational Earnings Correlation : Revisited in the Light of Panel Data," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 01.05, Université de Lausanne, Faculté des HEC, DEEP. [Downloadable!]
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