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The Error-in-Rejection Probability of Meta-Analytic Panel Tests

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  • Hanck, Christoph

Abstract

Meta-analytic panel unit root tests such as Fisher?s X2 test, which consist of pooling the p-values of time series unit root tests, are widely applied in practice. Recently, several Monte Carlo studies have found these tests? Error-in-Rejection Probabilities (or, synonymously, size distortion) to increase with the number of series in the panel. We investigate this puzzling finding by modelling the finite sample p-value distribution of the time series tests with local deviations from the asymptotic p-value distribution. We find that the size distortions of the panel tests can be explained as the cumulative effect of small size distortions in the time series tests.

Suggested Citation

  • Hanck, Christoph, 2006. "The Error-in-Rejection Probability of Meta-Analytic Panel Tests," Technical Reports 2006,46, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200646
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    References listed on IDEAS

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    6. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
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    9. repec:bla:obuest:v:61:y:1999:i:0:p:631-52 is not listed on IDEAS
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    1. Hanck, Christoph, 2007. "A meta analytic approach to testing for panel cointegration," Technical Reports 2007,02, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. repec:hum:wpaper:sfb649dp2007-029 is not listed on IDEAS
    3. Örsal, Deniz Dilan Karaman, 2007. "Comparison of panel cointegration tests," SFB 649 Discussion Papers 2007-029, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. repec:ebl:ecbull:v:3:y:2008:i:6:p:1-20 is not listed on IDEAS

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