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Spurious Fixed Effects Regression

Author

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  • In Choi

    (Department of Economics, Sogang University, Seoul)

Abstract

This paper shows that spurious regression results can occur for a fixed effects model with weak time series variation in the regressor and/or strong time se- ries variation in the regression errors when the first-differenced and Within-OLS estimators are used. Asymptotic properties of these estimators and the related t-tests and model selection criteria are studied by sending the number of cross- sectional observations to infinity. This paper shows that the first-differenced and Within-OLS estimators diverge in probability, that the related t-tests are incon- sistent, that R2s converge to zero in probability and that AIC and BIC diverge to ??1 in probability. The results of the paper warn that one should not jump to the use of fixed effects regressions without considering the degree of time series variations in the data.

Suggested Citation

  • In Choi, 2010. "Spurious Fixed Effects Regression," Working Papers 1001, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy), revised Jun 2011.
    • Handle: RePEc:sgo:wpaper:1001
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    References listed on IDEAS

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    1. Hendry, David F, 1986. "Econometric Modelling with Cointegrated Variables: An Overview," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 201-212, August.
    2. Aldrich, J., 1995. "Correlations genuine and spurious in Pearson and Yule," Discussion Paper Series In Economics And Econometrics 9502, Economics Division, School of Social Sciences, University of Southampton.
    3. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
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    3. Stefano Bonini & Justin Deng & Mascia Ferrari & Kose John & David Gaddis Ross, 2022. "Long‐tenured independent directors and firm performance," Strategic Management Journal, Wiley Blackwell, vol. 43(8), pages 1602-1634, August.

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