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Counterfactual Distributions with Sample Selection Adjustments: Econometric Theory and an Application to the Netherlands

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Several recent papers use the quantile regression decomposition method of Machado and Mata (2005) to analyze the gender gap in log wages across the distribution. Since employment rates often differ substantially by gender, sample selection is potentially a serious issue for such studies. To address this issue, we extend the Machado-Mata technique to account for selection. In addition, we prove that this procedure yields consistent and asymptotically normal estimates of the quantiles of the counterfactual distribution that it is designed to simulate. We illustrate our approach by analyzing the gender log wage gap between men and women who work full time in the Netherlands. Because the fraction of women working full time in the Netherlands is quite low, this is a case in which sample selection is clearly important. We find a positive selection of women into full-time work and find that about two thirds of this selection is due to observables such as education and experience with the remainder due to unobservables. Our decompositions show that the majority of the gender gap across the log wage distribution is due to differences between men and women in the distributions of returns to labor market characteristics rather than to differences in the distributions of the characteristics themselves. Classification-JEL Codes: C24, J22, J31, J71

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Bibliographic Info

Paper provided by Georgetown University, Department of Economics in its series Working Papers with number gueconwpa~07-07-06.

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Date of creation: 06 Jul 2007
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Handle: RePEc:geo:guwopa:gueconwpa~07-07-06

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Postal: Georgetown University Department of Economics Washington, DC 20057-1036
Phone: 202-687-6074
Fax: 202-687-6102
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Web page: http://econ.georgetown.edu/

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Postal: Marcia Suss Administrative Officer Georgetown University Department of Economics Washington, DC 20057-1036
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Web: http://econ.georgetown.edu/

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Keywords: Gender; quantile regression; selection;

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References

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  1. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228 Elsevier.
  2. Blundell, Richard William & Gosling, Amanda & Ichimura, Hidehiko & Meghir, Costas, 2004. "Changes in the Distribution of Male and Female Wages Accounting for Employment Composition Using Bounds," CEPR Discussion Papers 4705, C.E.P.R. Discussion Papers.
  3. Fitzenberger, Bernd & Wunderlich, Gaby, 2000. "Gender wage differences in West Germany: a cohort analysis," ZEW Discussion Papers 00-48, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  4. José Mata & José A. F. Machado, 2005. "Counterfactual decomposition of changes in wage distributions using quantile regression," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 445-465.
  5. Dorothe Bonjour & Michael Gerfin, 2001. "The unequal distribution of unequal pay - An empirical analysis of the gender wage gap in Switzerland," Empirical Economics, Springer, vol. 26(2), pages 407-427.
  6. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
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  11. Wiji Arulampalam & Alison L. Booth & Mark L. Bryan, 2007. "Is There a Glass Ceiling over Europe? Exploring the Gender Pay Gap across the Wage Distribution," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 60(2), pages 163-186, January.
  12. Sara Rica & Juan Dolado & Vanesa Llorens, 2008. "Ceilings or floors? Gender wage gaps by education in Spain," Journal of Population Economics, Springer, vol. 21(3), pages 751-776, July.
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  14. Donald, Stephen G & Green, David A & Paarsch, Harry J, 2000. "Differences in Wage Distributions between Canada and the United States: An Application of a Flexible Estimator of Distribution Functions in the Presence of Covariates," Review of Economic Studies, Wiley Blackwell, vol. 67(4), pages 609-33, October.
  15. Nabanita Datta Gupta & Ronald L. Oaxaca & Nina Smith, 2006. "Swimming upstream, floating downstream: Comparing women's relative wage progress in the United States and Denmark," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 59(2), pages 243-266, January.
  16. Mitali Das & Whitney K. Newey & Francis Vella, 2003. "Nonparametric Estimation of Sample Selection Models," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 33-58.
  17. Moshe Buchinsky, 1998. "Recent Advances in Quantile Regression Models: A Practical Guideline for Empirical Research," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 88-126.
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  19. repec:cup:cbooks:9780521496032 is not listed on IDEAS
  20. David H. Autor & Lawrence F. Katz & Melissa S. Kearney, 2005. "Rising Wage Inequality: The Role of Composition and Prices," Harvard Institute of Economic Research Working Papers 2096, Harvard - Institute of Economic Research.
  21. Moshe Buchinsky, 1998. "The dynamics of changes in the female wage distribution in the USA: a quantile regression approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(1), pages 1-30.
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