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Estimating Panel Data Models in the Presence of Endogeneity and Selection

  • Anastasia Semykina

    ()

    (Department of Economics, Florida State University)

  • Jeffrey M. Woodridge

    ()

    (Department of Economics, Michigan State University)

We consider estimation of panel data models with sample selection when the equation of interest contains endogenous explanatory variables as well as unobserved heterogeneity. We offer a detailed analysis of the pooled two-stage least squares (pooled 2SLS) and fixed effects-2SLS (FE-2SLS) estimators and discuss complications in correcting for selection biases that arise when instruments are correlated with the unobserved effect. Assuming that appropriate instruments are available, we propose several tests for selection bias and two estimation procedures that correct for selection in the presence of endogenous regressors. The first correction procedure is valid under the assumption that the errors in the selection equation are normally distributed, while the second procedure drops the normality assumption and estimates the model parameters semiparametrically. In the proposed testing and correction procedures, the error terms may be heterogeneously distributed and serially dependent in both selection and primary equations. Correlation between the unobserved effects and explanatory and instrumental variables is permitted. To illustrate and study the performance of the proposed methods, we apply them to estimating earnings equations for females using the Panel Study of Income Dynamics data and perform Monte Carlo simulations.

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File URL: ftp://econpapers.fsu.edu/RePEc/fsu/wpaper/wp2010_10_01.pdf
File Function: First version, 2010-10
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Paper provided by Department of Economics, Florida State University in its series Working Papers with number wp2010_10_01.

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Length: 56 pages
Date of creation: Oct 2010
Date of revision:
Handle: RePEc:fsu:wpaper:wp2010_10_01
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  1. Erik Meijer & Tom Wansbeek, 2007. "The Sample Selection Model from a Method of Moments Perspective," Econometric Reviews, Taylor & Francis Journals, vol. 26(1), pages 25-51.
  2. Jan Erik Askildsen & Badi H. Baltagi & Tor Helge Holmås, 2003. "Wage policy in the health care sector: a panel data analysis of nurses' labour supply," Health Economics, John Wiley & Sons, Ltd., vol. 12(9), pages 705-719.
  3. Vella, F. & Verbeek, M.J.C.M., 1999. "Two-step estimation of panel data models with censored endogenous variables and selection bias," Other publications TiSEM 5aad87bc-25d1-49bc-882b-c, Tilburg University, School of Economics and Management.
  4. 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.
  5. Verbeek, M. & Nijman, T., 1990. "Testing For Selectivity Bias In Panel Data Models," Papers 9018, Tilburg - Center for Economic Research.
  6. Newey, W.K., 1989. "The Asymptotic Variance Of Semiparametric Estimotors," Papers 346, Princeton, Department of Economics - Econometric Research Program.
  7. Nijman, T.E. & Verbeek, M.J.C.M., 1992. "Testing for selectivity in panel data models," Other publications TiSEM 7ec34a6c-1d84-4052-971c-d, Tilburg University, School of Economics and Management.
  8. Jorge González-Chapela, 2007. "On the Price of Recreation Goods as a Determinant of Male Labor Supply," Journal of Labor Economics, University of Chicago Press, vol. 25, pages 795-824.
  9. Klein, Roger W & Spady, Richard H, 1993. "An Efficient Semiparametric Estimator for Binary Response Models," Econometrica, Econometric Society, vol. 61(2), pages 387-421, March.
  10. Kyriazidou, Ekaterini, 2001. "Estimation of Dynamic Panel Data Sample Selection Models," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 543-72, July.
  11. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
  12. Christian Dustmann & Mar�a Engracia Rochina-Barrachina, 2007. "Selection correction in panel data models: An application to the estimation of females' wage equations," Econometrics Journal, Royal Economic Society, vol. 10(2), pages 263-293, 07.
  13. Whitney K. Newey, 2009. "Two-step series estimation of sample selection models," Econometrics Journal, Royal Economic Society, vol. 12(s1), pages S217-S229, 01.
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  15. Charlier, E. & Melenberg, B. & van Soest, A.H.O., 1997. "An Analysis of Housing Expenditure Using Semiparametric Models and Panel Data," Discussion Paper 1997-14, Tilburg University, Center for Economic Research.
  16. 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.
  17. Hsiao, Cheng & Shen, Yan & Wang, Boqing & Weeks, Greg, 2008. "Evaluating the effectiveness of Washington state repeated job search services on the employment rate of prime-age female welfare recipients," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 98-108, July.
  18. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
  19. Joseph G. Altonji & Rosa L. Matzkin, 2005. "Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors," Econometrica, Econometric Society, vol. 73(4), pages 1053-1102, 07.
  20. Chamberlain, Gary, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 225-38, January.
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