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The impact of a Hausman pretest on the size of a hypothesis test: The panel data case

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  • Guggenberger, Patrik

Abstract

The size properties of a two-stage test in a panel data model are investigated where in the first stage a Hausman (1978) specification test is used as a pretest of the random effects specification and in the second stage, a simple hypothesis about a component of the parameter vector is tested, using a t-statistic that is based on either the random effects or the fixed effects estimator depending on the outcome of the Hausman pretest. It is shown that the asymptotic size of the two-stage test equals 1 for empirically relevant specifications of the parameter space. The size distortion is caused mainly by the poor power properties of the pretest. Given these results, we recommend using a t-statistic based on the fixed effects estimator instead of the two-stage procedure.

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  • Guggenberger, Patrik, 2010. "The impact of a Hausman pretest on the size of a hypothesis test: The panel data case," Journal of Econometrics, Elsevier, vol. 156(2), pages 337-343, June.
  • Handle: RePEc:eee:econom:v:156:y:2010:i:2:p:337-343
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    Cited by:

    1. McCloskey, Adam, 2017. "Bonferroni-based size-correction for nonstandard testing problems," Journal of Econometrics, Elsevier, vol. 200(1), pages 17-35.
    2. Hasan, Iftekhar & Jackowicz, Krzysztof & Kowalewski, Oskar & Kozłowski, Łukasz, 2013. "Market discipline during crisis: Evidence from bank depositors in transition countries," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5436-5451.
    3. Akhtaruzzaman, M. & Berg, Nathan & Hajzler, Christopher, 2017. "Expropriation risk and FDI in developing countries: Does return of capital dominate return on capital?," European Journal of Political Economy, Elsevier, vol. 49(C), pages 84-107.
    4. Kabaila, Paul & Mainzer, Rheanna & Farchione, Davide, 2015. "The impact of a Hausman pretest, applied to panel data, on the coverage probability of confidence intervals," Economics Letters, Elsevier, vol. 131(C), pages 12-15.
    5. Hutniczak, Barbara, 2015. "Modeling heterogeneous fleet in an ecosystem based management context," Ecological Economics, Elsevier, vol. 120(C), pages 203-214.
    6. Firmin Doko Tchatoka, 2015. "On bootstrap validity for specification tests with weak instruments," Econometrics Journal, Royal Economic Society, vol. 18(1), pages 137-146, February.
    7. Nicholas King & P. Dorian Owen & Rick Audas, 2012. "Playoff Uncertainty, Match Uncertainty and Attendance at Australian National Rugby League Matches," The Economic Record, The Economic Society of Australia, vol. 88(281), pages 262-277, June.
    8. repec:eee:ecosta:v:3:y:2017:i:c:p:112-131 is not listed on IDEAS
    9. repec:bla:stanee:v:71:y:2017:i:4:p:240-262 is not listed on IDEAS
    10. Jean-Bernard Chatelain & Kirsten Ralf, 2018. "Inference on time-invariant variables using panel data: a pretest estimator," PSE Working Papers halshs-01719835, HAL.
    11. Wang, Yun & Zhang, Yonghui & Zhou, Qiankun, 2016. "A Stein-like estimator for linear panel data models," Economics Letters, Elsevier, vol. 141(C), pages 156-161.

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