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Consistent estimation in pseudo panels in the presence of selection bias

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  • Mora, Jhon James
  • Muro, Juan

Abstract

In the presence of selection bias the traditional estimators for pseudo panel data models are inconsistent. This paper discusses a method to achieve consistency in static linear pseudo panels in the presence of selection bias and a testing procedure for sample selection bias. The authors' approach uses a bias correction term proportional to the inverse Mills ratio with argument equal to the "normit" of a consistent estimation of the conditional probability of being observed given cohort membership. Monte Carlo analysis shows the test does not reject the null for fixed T at a 5% significance level in finite samples. As a "side effect" the authors utilize the enlarged pseudo panel to provide a GMM consistent estimation of the pseudo panel parameters under rejection of the null and apply the procedure to estimate the rate of return to education in Colombia.

Suggested Citation

  • Mora, Jhon James & Muro, Juan, 2014. "Consistent estimation in pseudo panels in the presence of selection bias," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 8, pages 1-25.
  • Handle: RePEc:zbw:ifweej:201443
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    File URL: http://dx.doi.org/10.5018/economics-ejournal.ja.2014-43
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    References listed on IDEAS

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    1. Richard Blundell & Alan Duncan & Costas Meghir, 1998. "Estimating Labor Supply Responses Using Tax Reforms," Econometrica, Econometric Society, vol. 66(4), pages 827-862, July.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Moffitt, Robert, 1993. "Identification and estimation of dynamic models with a time series of repeated cross-sections," Journal of Econometrics, Elsevier, vol. 59(1-2), pages 99-123, September.
    4. Lee, Myoung-jae, 2001. "First-difference estimator for panel censored-selection models," Economics Letters, Elsevier, vol. 70(1), pages 43-49, January.
    5. Carlos Felipe Prada, 2006. "¿Es rentable la decisión de estudiar en Colombia?," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE, vol. 24(51), pages 226-323, June.
    6. Deaton, Angus, 1985. "Panel data from time series of cross-sections," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 109-126.
    7. Peter Jensen & Michael Rosholm & Mette Verner, "undated". "A Comparison of Different Estimators for Panel Data Sample Selection Models," Economics Working Papers 2002-1, Department of Economics and Business Economics, Aarhus University.
    8. Wooldridge, Jeffrey M., 1995. "Selection corrections for panel data models under conditional mean independence assumptions," Journal of Econometrics, Elsevier, vol. 68(1), pages 115-132, July.
    9. Verbeek, Marno & Nijman, Theo, 1993. "Minimum MSE estimation of a regression model with fixed effects from a series of cross-sections," Journal of Econometrics, Elsevier, vol. 59(1-2), pages 125-136, September.
    10. Jhon James Mora & Juan Muro, 2008. "Sheepskin effects by cohorts in Colombia," International Journal of Manpower, Emerald Group Publishing, vol. 29(2), pages 111-121, May.
    11. Vella, Francis & Verbeek, Marno, 1999. "Two-step estimation of panel data models with censored endogenous variables and selection bias," Journal of Econometrics, Elsevier, vol. 90(2), pages 239-263, June.
    12. Lewis, H Gregg, 1974. "Comments on Selectivity Biases in Wage Comparisons," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1145-1155, Nov.-Dec..
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    More about this item

    Keywords

    Repeated cross-section models; selectivity bias testing; returns to education;

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • I26 - Health, Education, and Welfare - - Education - - - Returns to Education

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