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Counterfactual distributions with sample selection adjustments: Econometric theory and an application to the Netherlands

  • Albrecht, James
  • van Vuuren, Aico
  • Vroman, Susan

Several recent papers use the quantile regression decomposition method of Machado and Mata [Machado, J.A.F. and Mata, J. (2005). Counterfactual decomposition of changes in wage distributions using quantile regression, Journal of Applied Econometrics, 20, 445-65.] to analyze the gender gap across log wage distributions. In this paper, we prove that this procedure yields consistent and asymptotically normal estimates of the quantiles of the counterfactual distribution that it is designed to simulate. 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. We illustrate our approach to adjusting for sample selection by analyzing the gender log wage gap for full-time workers in the Netherlands.

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Article provided by Elsevier in its journal Labour Economics.

Volume (Year): 16 (2009)
Issue (Month): 4 (August)
Pages: 383-396

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Handle: RePEc:eee:labeco:v:16:y:2009:i:4:p:383-396
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  1. Arulampalam, Wiji & Booth, Alison L. & Bryan, Mark L., 2005. "Is there a glass ceiling over Europe? Exploring the gender pay gap across the wages distribution," ISER Working Paper Series 2005-25, Institute for Social and Economic Research.
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  6. 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.
  7. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
  8. 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.
  9. 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. 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.
  15. 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.
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  17. 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 777-778, July.
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  19. 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.
  20. James Albrecht & Anders Bjorklund & Susan Vroman, 2003. "Is There a Glass Ceiling in Sweden?," Journal of Labor Economics, University of Chicago Press, vol. 21(1), pages 145-177, January.
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