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A Panel Unit Root Test with Good Power in Small Samples

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  • Claude Lopez

Abstract

We propose a new pooled panel unit root test allowing for serial and contemporaneous correlation. The new test combines Elliott, Rothenberg and Stock's (1996) local-to-unity transformation with a pooled panel ADF test. As initially advocated by O'Connell (1998), the new test accounts for contemporaneous correlation by estimating the residual covariance matrix. Monte Carlo simulations demonstrate significantly better finite sample power properties of the new test over a wide range of existing panel unit root tests accounting for cross-sectional correlation. Furthermore, enhanced performances are particularly noticeable when the series are highly persistent and the panels are relatively small. An application to the real exchange rate convergence illustrates the impact of such improvements. Analyzing the post Bretton Woods period, the new test provides strong and reliable rejections of the unit root among the real exchange rates of industrialized countries.

Suggested Citation

  • Claude Lopez, 2005. "A Panel Unit Root Test with Good Power in Small Samples," University of Cincinnati, Economics Working Papers Series 2005-01, University of Cincinnati, Department of Economics, revised 2007.
  • Handle: RePEc:cin:ucecwp:2005-01
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    Cited by:

    1. Jean françois Hoarau & Claude Lopez & Michel Paul, 2010. "Short Note on the Unemployment Rate of the “French overseas regions”," Economics Bulletin, AccessEcon, vol. 30(3), pages 2321-2329.
    2. Lopez, Claude & Papell, David H., 2012. "Convergence of Euro area inflation rates," Journal of International Money and Finance, Elsevier, vol. 31(6), pages 1440-1458.
    3. Giray GOZGOR, 2013. "Unemployment Persistence and Inflation Convergence: Evidence from Regions of Turkey," Regional and Sectoral Economic Studies, Euro-American Association of Economic Development, vol. 13(1), pages 55-64.
    4. repec:zbw:bofrdp:2007_027 is not listed on IDEAS
    5. Lopez, Claude, 2008. "Evidence of purchasing power parity for the floating regime period," Journal of International Money and Finance, Elsevier, vol. 27(1), pages 156-164, February.
    6. Kanas, Angelos, 2006. "Purchasing Power Parity and Markov Regime Switching," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(6), pages 1669-1687, September.
    7. Jacques Bughin, 2015. "Google searches and twitter mood: nowcasting telecom sales performance," Netnomics, Springer, vol. 16(1), pages 87-105, August.
    8. Joakim Westerlund & Jörg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
    9. Skrobotov, Anton (Скроботов, Антон) & Turuntseva, Marina (Турунцева, Марина), 2017. "Testing the Hypothesis of a Unit Root for Independent Panels [Тестирование Гипотезы О Наличии Единичного Корня Для Независимых Панелей]," Working Papers 021707, Russian Presidential Academy of National Economy and Public Administration.
    10. Elina Simone & Rosaria Rita Canale & Amedeo Maio, 2019. "Do UNESCO World Heritage Sites Influence International Tourist Arrivals? Evidence from Italian Provincial Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 146(1), pages 345-359, November.
    11. Vajanne, Laura, 2007. "Integration in euro area retail banking markets : convergence of credit interest rates," Research Discussion Papers 27/2007, Bank of Finland.
    12. Cushman, David O. & Michael, Nils, 2011. "Nonlinear trends in real exchange rates: A panel unit root test approach," Journal of International Money and Finance, Elsevier, vol. 30(8), pages 1619-1637.

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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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