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Bias corrections for two-step fixed effects panel data estimators

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  • Fernández-Val, Iván
  • Vella, Francis

Abstract

This paper introduces large-T bias-corrected estimators for nonlinear panel data models with both time invariant and time varying heterogeneity. These models include systems of equations with limited dependent variables and unobserved individual effects, and sample selection models with unobserved individual effects. Our two-step approach first estimates the reduced form by fixed effects procedures to obtain estimates of the time varying heterogeneity underlying the endogeneity/selection bias. We then estimate the primary equation by fixed effects including an appropriately constructed control variable from the reduced form estimates as an additional explanatory variable. The fixed effects approach in this second step captures the time invariant heterogeneity while the control variable accounts for the time varying heterogeneity. Since either or both steps might employ nonlinear fixed effects procedures it is necessary to bias adjust the estimates due to the incidental parameters problem. This problem is exacerbated by the two-step nature of the procedure. As these two-step approaches are not covered in the existing literature we derive the appropriate correction thereby extending the use of large-T bias adjustments to an important class of models. Simulation evidence indicates our approach works well in finite samples and an empirical example illustrates the applicability of our estimator.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 163 (2011)
Issue (Month): 2 (August)
Pages: 144-162

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Handle: RePEc:eee:econom:v:163:y:2011:i:2:p:144-162

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

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Keywords: Panel data Two-step estimation Endogenous regressors Fixed effects Sample selection bias Union premium;

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Cited by:
  1. Koen Jochmans, 2014. "Multiplicative-error models with sample selection," Sciences Po Economics Discussion Papers 2014-05, Sciences Po Departement of Economics.
  2. Aysen Isaoglu, 2010. "Worker Reallocation across Occupations in Western Germany," SOEPpapers on Multidisciplinary Panel Data Research 319, DIW Berlin, The German Socio-Economic Panel (SOEP).
  3. Geert Dhaene & Koen Jochmans, 2010. "Split-panel jackknife estimation of fixed-effect models," Sciences Po publications info:hdl:2441/eu4vqp9ompq, Sciences Po.
  4. Almer, Christian & Laurent-Lucchetti, Jérémy & oechslin, Manuel, 2011. "Income shocks and social unrest: theory and evidence," MPRA Paper 34426, University Library of Munich, Germany.
  5. Panutat Satchachai & Peter Schmidt, 2010. "Estimates of technical inefficiency in stochastic frontier models with panel data: generalized panel jackknife estimation," Journal of Productivity Analysis, Springer, vol. 34(2), pages 83-97, October.
  6. Georgios Marios Chrysanthou, 2008. "Estimating union wage effects in Great Britain during 1991-2003," Economics Working Papers we082214, Universidad Carlos III, Departamento de Economía.
  7. Christian Almer & Stefan Boes, 2012. "Climate (change) and conflict: resolving a puzzle of association and causation," Diskussionsschriften dp1203, Universitaet Bern, Departement Volkswirtschaft.
  8. Michael Beckmann & Thomas Cornelissen, 2014. "Self-Managed Working Time and Employee Effort: Microeconometric Evidence," SOEPpapers on Multidisciplinary Panel Data Research 636, DIW Berlin, The German Socio-Economic Panel (SOEP).

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