Bias Corrections for Two-Step Fixed Effects Panel Data Estimators

Francis Vella and Ivan Fernandez-Val ()

No WP2007-010, Boston University - Department of Economics - Working Papers Series from Boston University - Department of Economics

Abstract: This paper introduces bias-corrected estimators for nonlinear panel data models with both time invariant and time varying heterogeneity. These include limited dependent variable models with both unobserved individual effects and endogenous explanatory variables, 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 variant heterogeneity underlying the endogeneity/selection bias. We then estimate the primary equation by fixed effects including an appropriately constructed control function 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 function 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.

Keywords: Panel data; Two-Step Estimation; Endogenous Regressors; Fixed Effects; Bias; Union Premium. (search for similar items in EconPapers)
JEL-codes: C23 J31 J51 (search for similar items in EconPapers)
Pages: 52 pages
Date: 2007-02
New Economics Papers: this item is included in nep-dcm and nep-ecm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Related works:
Journal Article: Bias corrections for two-step fixed effects panel data estimators (2011)
Working Paper: Bias corrections for two-step fixed effects panel data estimators (2007)
Working Paper: Bias Corrections for Two-Step Fixed Effects Panel Data Estimators (2007)
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