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Estimation of linear dynamic panel data models with time-invariant regressors

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  • Kripfganz, Sebastian
  • Schwarz, Claudia

Abstract

This paper considers estimation methods and inference for linear dynamic panel data models with unit-specific heterogeneity and a short time dimension. In particular, we focus on the identification of the coefficients of time-invariant variables in a dynamic version of the Hausman and Taylor (1981) model. We propose a two-stage estimation procedure to identify the effectsof time-invariant regressors. We first estimate the coefficients of the time-varying regressors and subsequently regress the first-stage residuals on the time-invariant regressors to recover the coefficients of the latter. Standard errors are adjusted to take into account the first-stage estimation uncertainty. As potential first-stage estimators we discuss generalized method of moments estimators and the transformed likelihood approach of Hsiao, Pesaran, and Tahmiscioglu (2002). Monte Carlo experiments are used to compare the performance of the two-stage approach to various system GMM estimators that obtain all parameter estimates simultaneously. The results are in favor of the two-stage approach. We provide further simulation evidence that GMM estimators with a large number of instruments can be severely biased in finite samples. Reducing the instrument count by collapsing the instrument matrices strongly improves the results while restricting the lag depth does not. Finally, we estimate a dynamic Mincer equation with data from the Panel Study of Income Dynamics to illustrate the approach.

Suggested Citation

  • Kripfganz, Sebastian & Schwarz, Claudia, 2013. "Estimation of linear dynamic panel data models with time-invariant regressors," Discussion Papers 25/2013, Deutsche Bundesbank.
  • Handle: RePEc:zbw:bubdps:252013
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    2. Kornher, Lukas & Kalkuhl, Matthias, 0. "Food Price Volatility in Developing Countries and its Determinants," Quarterly Journal of International Agriculture, Humboldt-Universität zu Berlin, vol. 52.
    3. Frieder Kropfhäußer & Marco Sunder, 2014. "A Weighty Issue Revisited: The Dynamic Effect of Body Weight on Earnings and Satisfaction in Germany," SOEPpapers on Multidisciplinary Panel Data Research 635, DIW Berlin, The German Socio-Economic Panel (SOEP).
    4. Kripfganz, Sebastian, 2014. "Unconditional Transformed Likelihood Estimation of Time-Space Dynamic Panel Data Models," Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100604, Verein für Socialpolitik / German Economic Association.
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    9. F. Kropfhäußer & M. Sunder, 2015. "A weighty issue revisited: the dynamic effect of body weight on earnings and satisfaction in Germany," Applied Economics, Taylor & Francis Journals, vol. 47(41), pages 4364-4376, September.
    10. Andini, Corrado, 2014. "Persistence Bias and Schooling Returns," IZA Discussion Papers 8143, Institute for the Study of Labor (IZA).
    11. Jan F. Kiviet & Milan Pleus & Rutger Poldermans, 2014. "Accuracy and efficiency of various GMM inference techniques in dynamic micro panel data models," UvA-Econometrics Working Papers 14-09, Universiteit van Amsterdam, Dept. of Econometrics.
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    15. Byeong-il, Ahn & Younghyeon, Jeon, 2016. "Does tariff reduction have a positive effect on the world’s grain self-sufficiency?," 2016 Annual Meeting, July 31-August 2, 2016, Boston, Massachusetts 235578, Agricultural and Applied Economics Association.

    More about this item

    Keywords

    System GMM; Instrument proliferation; Maximum likelihood; Two-stage estimation; Monte Carlo simulation; Dynamic Mincer equation;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • J30 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - General

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