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Fixed Effects Estimation of Structural Parameters and Marginal Effects in Panel Probit Models

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Listed author(s):
  • Ivan Fernandez-Val

    ()

    (Department of Economics, Boston University)

Abstract

Fixed effects estimators of nonlinear panel models can be severely biased due to the incidental parameters problem. In this paper I find that the most important component of this incidental parameters bias for probit fixed effects estimators of index coefficients is proportional to the true value of these coe±cients, using a large-T expansion of the bias. This result allows me to derive a lower bound for this bias, and to show that fixed effects estimates of ratios of coefficients and average marginal effects have zero bias in the absence of heterogeneity, and have negligible bias relative to their true values for a wide variety of distributions of regressors and individual effects. New bias corrected estimators for index coefficients and marginal effects with improved finite sample properties are also proposed for static and dynamic probit, logit, and linear probability models with predetermined regressors.

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Paper provided by Boston University - Department of Economics in its series Boston University - Department of Economics - Working Papers Series with number WP2007-009.

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Length: 44 pages
Date of creation: Feb 2007
Handle: RePEc:bos:wpaper:wp2007-009
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Web page: http://www.bu.edu/econ/

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Keywords: Panel data; Bias; Discrete Choice Models; Probit; Fixed effects; Labor Force Participation.;

Other versions of this item:

Find related papers by JEL classification:
  • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
  • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
  • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply

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