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Estimating panel data models in the presence of endogeneity and selection

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  • Semykina, Anastasia
  • Wooldridge, Jeffrey M.

Abstract

We consider estimation of panel data models with sample selection when the equation of interest contains endogenous explanatory variables as well as unobserved heterogeneity. 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 tests are based on the fixed effects two-stage least squares estimator, thereby permitting arbitrary correlation between unobserved heterogeneity and explanatory variables. The first correction procedure is parametric and is valid under the assumption that the errors in the selection equation are normally distributed. The second procedure estimates the model parameters semiparametrically using series estimators. In the proposed testing and correction procedures, the error terms may be heterogeneously distributed and serially dependent in both selection and primary equations. Because these methods allow for a rather flexible structure of the error variance and do not impose any nonstandard assumptions on the conditional distributions of explanatory variables, they provide a useful alternative to the existing approaches presented in the literature.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 157 (2010)
Issue (Month): 2 (August)
Pages: 375-380

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Handle: RePEc:eee:econom:v:157:y:2010:i:2:p:375-380

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Web page: http://www.elsevier.com/locate/jeconom

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Keywords: Fixed effects Instrumental variables Sample selection Mills ratio Semiparametric;

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  1. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
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  6. Charlier, Erwin & Melenberg, Bertrand & van Soest, Arthur, 2001. "An analysis of housing expenditure using semiparametric models and panel data," Journal of Econometrics, Elsevier, vol. 101(1), pages 71-107, March.
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  12. Vella, F. & Verbeek, M.J.C.M., 1999. "Two-step estimation of panel data models with censored endogenous variables and selection bias," Open Access publications from Tilburg University urn:nbn:nl:ui:12-80344, Tilburg University.
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  14. 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.
  15. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
  16. 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.
  17. 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.
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