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Consequences of Specification Error for Distributional Analysis With an Application to Intergenerational Mobility

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  • D. O’NEILL
  • O. SWEETMAN
  • D. VAN DE GAER

    ()

Abstract

We analyze the consequences of three types of specification error for conditional distribution functions F (y|a): measurement error in y, measurement error in a and omitted conditioning variables. The paper uses exact results to obtain conditions under which the effect of the misspecification on the computed distribution function can be signed. The effects are shown to depend on both the curvature of the true distribution and the properties of the error distribution. The consequences of misspecification are illustrated using a model of intergenerational mobility.

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File URL: http://www.feb.ugent.be/nl/Ondz/wp/Papers/wp_02_156.pdf
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Bibliographic Info

Paper provided by Ghent University, Faculty of Economics and Business Administration in its series Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium with number 02/156.

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Length: 42 pages
Date of creation: Nov 2002
Date of revision:
Handle: RePEc:rug:rugwps:02/156

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Keywords: specification error; mobility; conditional distributions;

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References

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  1. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  2. Ramses H. ABUL NAGA, 2000. "Galtonian Regression of Intergenerational Income Linkages : Biased Procedures, a New Estimator and Mean-Square Error Comparisons," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 00.13, Université de Lausanne, Faculté des HEC, DEEP.
  3. Van de Gaer, Dirk & Schokkaert, Erik & Martinez, Michel, 2001. "Three Meanings of Intergenerational Mobility," Economica, London School of Economics and Political Science, vol. 68(272), pages 519-37, November.
  4. Horowitz, J.L. & Manski, C.F., 1995. "What Can Be Learned About Population Parameters when the Data Are Contaminated," Working Papers 95-18, University of Iowa, Department of Economics.
  5. 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.
  6. Chesher, Andrew & Schluter, Christian, 2002. "Welfare Measurement and Measurement Error," Review of Economic Studies, Wiley Blackwell, vol. 69(2), pages 357-78, April.
  7. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
  8. Trede, Mark, 1997. "Making mobility visible: A graphical device," Discussion Papers in Statistics and Econometrics 2/97, University of Cologne, Department for Economic and Social Statistics.
  9. Gary S. Becker & Nigel Tomes, . "Human Capital and the Rise and Fall of Families," University of Chicago - Population Research Center 84-10, Chicago - Population Research Center.
  10. Solon, Gary, 1992. "Intergenerational Income Mobility in the United States," American Economic Review, American Economic Association, vol. 82(3), pages 393-408, June.
  11. Han, Song & Mulligan, Casey B, 2001. "Human Capital, Heterogeneity and Estimated Degrees of Intergenerational Mobility," Economic Journal, Royal Economic Society, vol. 111(470), pages 207-43, April.
  12. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
  13. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers.
  14. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  15. Conlisk, John, 1974. "Can Equalization of Opportunity Reduce Social Mobility?," American Economic Review, American Economic Association, vol. 64(1), pages 80-90, March.
  16. 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.
  17. Miles Corak & Andrew Heisz, 1998. "The Intergenerational Earnings and Income Mobility of Canadian," Labor and Demography 9808001, EconWPA.
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Cited by:
  1. D. Van den Poel, 2003. "Predicting Mail-Order Repeat Buying. Which Variables Matter?," Review of Business and Economics, Katholieke Universiteit Leuven, Faculteit Economie en Bedrijfswetenschappen, vol. 0(3), pages 371-404.

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