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Large-N and Large-T Properties of Panel Data Estimators and the Hausman Test

Author

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  • Seung Chan Ahn

    () (Department of Economics, Arizona State University)

  • Hyungsik Roger Moon

    (Department of Economics, University of Southern California)

Abstract

This paper examines the asymptotic properties of the popular within, GLS estimators and the Hausman test for panel data models with both large numbers of cross-section (N) and time-series (T) observations. The model we consider includes the regressors with deterministic trends in mean as well as time invariant regressors. If a time-varying regressor is correlated with time invariant regressors, the time series of the time varying regressor is not ergodic. Our asymptotic results are obtained considering the dependence of such non-ergodic time-varying regressors. We find that the within estimator is as efficient as the GLS estimator. Despite this asymptotic equivalence, however, the Hausman statistic, which is essentially a distance measure between the two estimators, is well defined and asymptotically \chi^2-distributed under the random effects assumption.

Suggested Citation

  • Seung Chan Ahn & Hyungsik Roger Moon, 2001. "Large-N and Large-T Properties of Panel Data Estimators and the Hausman Test," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 A6-2, International Conferences on Panel Data.
  • Handle: RePEc:cpd:pd2002:a6-2
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    References listed on IDEAS

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    1. Quah, Danny, 1994. "Exploiting cross-section variation for unit root inference in dynamic data," Economics Letters, Elsevier, vol. 44(1-2), pages 9-19.
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    3. Maddala, G S, 1971. "The Use of Variance Components Models in Pooling Cross Section and Time Series Data," Econometrica, Econometric Society, vol. 39(2), pages 341-358, March.
    4. Baltagi, Badi H & Khanti-Akom, Sophon, 1990. "On Efficient Estimation with Panel Data: An Empirical Comparison of Instrumental Variables Estimators," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 5(4), pages 401-406, Oct.-Dec..
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    6. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    7. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 38(2), pages 112-134.
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    9. Boozer, Michael A., 1997. "Econometric Analysis of Panel Data Badi H. Baltagi Wiley, 1995," Econometric Theory, Cambridge University Press, vol. 13(05), pages 747-754, October.
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    12. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    13. Breusch, Trevor S & Mizon, Grayham E & Schmidt, Peter, 1989. "Efficient Estimation Using Panel Data," Econometrica, Econometric Society, vol. 57(3), pages 695-700, May.
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    Cited by:

    1. Pablo, Agnese, 2009. "Japan and her dealings with offshoring: An empirical analysis with aggregate data," MPRA Paper 16505, University Library of Munich, Germany.
    2. repec:jfr:rwe111:v:7:y:2016:i:1:p:1-10 is not listed on IDEAS
    3. Herwartz, Helmut & Neumann, Michael H., 2007. "A robust bootstrap approach to the Hausman test in stationary panel data models," Economics Working Papers 2007-29, Christian-Albrechts-University of Kiel, Department of Economics.

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