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Homogenous panel unit root tests under cross sectional dependence: Finite sample modifications and the wild bootstrap

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  • Herwartz, H.
  • Siedenburg, F.

Abstract

First generation panel unit root tests are known to be invalid under cross sectional dependence. Focussing on the subclass of homogenous tests, three extensions of existing approaches are proposed. First, a test based on a generalized variance estimator is suggested for panels with small time and relatively large cross sectional dimension. Second, the application of refined residuals in variance estimators is proposed to reduce finite sample biases. Third, the wild bootstrap is proved to be an asymptotically valid method of resampling homogenous panel unit root test statistics. A Monte Carlo study shows that the wild bootstrap yields unbiased inference, even in cases where existing procedures are biased. Most accurate results under the null hypothesis are obtained by resampling robust statistics while there is no, or minor, evidence of power loss invoked by the wild bootstrap. An empirical illustration underpins that the current account to GDP ratio is likely panel stationary.

Suggested Citation

  • Herwartz, H. & Siedenburg, F., 2008. "Homogenous panel unit root tests under cross sectional dependence: Finite sample modifications and the wild bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 53(1), pages 137-150, September.
  • Handle: RePEc:eee:csdana:v:53:y:2008:i:1:p:137-150
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    References listed on IDEAS

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    1. Cerrato, Mario & Sarantis, Nicholas, 2007. "A bootstrap panel unit root test under cross-sectional dependence, with an application to PPP," Computational Statistics & Data Analysis, Elsevier, vol. 51(8), pages 4028-4037, May.
    2. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    3. Herwartz, Helmut, 2006. "Testing for random effects in panel data under cross sectional error correlation--A bootstrap approach to the Breusch Pagan test," Computational Statistics & Data Analysis, Elsevier, vol. 50(12), pages 3567-3591, August.
    4. Feldstein, Martin & Horioka, Charles, 1980. "Domestic Saving and International Capital Flows," Economic Journal, Royal Economic Society, vol. 90(358), pages 314-329, June.
    5. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics,in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228 Elsevier.
    6. Chang, Yoosoon & Park, Joon Y. & Song, Kevin, 2006. "Bootstrapping cointegrating regressions," Journal of Econometrics, Elsevier, vol. 133(2), pages 703-739, August.
    7. Georges Bresson & Badi H. Baltagi & Alain Pirotte, 2007. "Panel unit root tests and spatial dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 339-360.
    8. Cavaliere, Giuseppe & Rahbek, Anders & Taylor, A.M. Robert, 2010. "Testing for co-integration in vector autoregressions with non-stationary volatility," Journal of Econometrics, Elsevier, vol. 158(1), pages 7-24, September.
    9. Chang, Yoosoon, 2004. "Bootstrap unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 120(2), pages 263-293, June.
    10. Davidson, Russell & Flachaire, Emmanuel, 2008. "The wild bootstrap, tamed at last," Journal of Econometrics, Elsevier, vol. 146(1), pages 162-169, September.
    11. Park, Joon Y., 2002. "An Invariance Principle For Sieve Bootstrap In Time Series," Econometric Theory, Cambridge University Press, vol. 18(02), pages 469-490, April.
    12. Jörg Breitung & Samarjit Das, 2005. "Panel unit root tests under cross-sectional dependence," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 414-433.
    13. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    14. Yoosoon Chang & Joon Y. Park, 2003. "A Sieve Bootstrap For The Test Of A Unit Root," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(4), pages 379-400, July.
    15. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    16. Cavaliere, Giuseppe & Georgiev, Iliyan, 2007. "Testing For Unit Roots In Autoregressions With Multiple Level Shifts," Econometric Theory, Cambridge University Press, vol. 23(06), pages 1162-1215, December.
    17. Christophe Hurlin & Valérie Mignon, 2007. "Second Generation Panel Unit Root Tests," Working Papers halshs-00159842, HAL.
    18. Herwartz, Helmut & Neumann, Michael H., 2005. "Bootstrap inference in systems of single equation error correction models," Journal of Econometrics, Elsevier, vol. 128(1), pages 165-193, September.
    19. Helmut Herwartz & Hans-Eggert Reimers, 2006. "Panel non stationary tests of the Fisher hypothesis in a world wide context. An analysis of 114 economies during the period 1960-2004," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 6(3).
    20. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    21. MacKinnon, James G. & White, Halbert, 1985. "Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties," Journal of Econometrics, Elsevier, vol. 29(3), pages 305-325, September.
    22. Maddala, G S & Wu, Shaowen, 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(0), pages 631-652, Special I.
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    Cited by:

    1. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 161-187, April.
    2. Herwartz, Helmut & Walle, Yabibal M., 2014. "Openness and the finance-growth nexus," Journal of Banking & Finance, Elsevier, vol. 48(C), pages 235-247.
    3. Yabibal M. Walle, 2014. "Revisiting the Finance–Growth Nexus in Sub-Saharan Africa: Results from Error Correction-based Panel Cointegration Tests," African Development Review, African Development Bank, vol. 26(2), pages 310-321, June.
    4. Jaunky, Vishal Chandr, 2013. "A cointegration and causality analysis of copper consumption and economic growth in rich countries," Resources Policy, Elsevier, vol. 38(4), pages 628-639.
    5. repec:spr:compst:v:33:y:2018:i:1:d:10.1007_s00180-017-0784-5 is not listed on IDEAS
    6. Jaunky, Vishal Chandr, 2012. "Is there a material Kuznets curve for aluminium? evidence from rich countries," Resources Policy, Elsevier, vol. 37(3), pages 296-307.
    7. Herwartz, Helmut & Maxand, Simone & Walle, Yabibal M., 2017. "Heteroskedasticity-robust unit root testing for trending panels," Center for European, Governance and Economic Development Research Discussion Papers 314, University of Goettingen, Department of Economics.
    8. Herwartz, Helmut & Theilen, Bernd, 2014. "Partisan influence on social spending under market integration, fiscal pressure and institutional change," European Journal of Political Economy, Elsevier, vol. 34(C), pages 409-424.
    9. repec:zbw:rwirep:0434 is not listed on IDEAS
    10. Christoph Hanck & Robert Czudaj, 2013. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," Ruhr Economic Papers 0434, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    11. Dina Azhgaliyeva, 2013. "What Makes Oil Revenue Funds Effective," International Conference on Energy, Regional Integration and Socio-economic Development 6023, EcoMod.
    12. Herwartz, Helmut & Siedenburg, Florian, 2009. "The effects of variance breaks on homogenous panel unit root tests," Economics Working Papers 2009-07, Christian-Albrechts-University of Kiel, Department of Economics.
    13. Helmut Herwartz & Florian Siedenburg, 2013. "To converge or not converge: unit labor cost inflation in the Euro area," Empirical Economics, Springer, vol. 44(2), pages 455-467, April.
    14. Shin, Dong Wan & Park, Sangun, 2010. "Robust panel unit root tests for cross-sectionally dependent multiple time series," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2801-2813, November.
    15. Vishal Jaunky, 2013. "Democracy and economic growth in Sub-Saharan Africa: a panel data approach," Empirical Economics, Springer, vol. 45(2), pages 987-1008, October.

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