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A Simple Panel-CADF Test for Unit Roots

Author

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  • Costantini, Mauro

    (Department of Economics, University of Vienna, Vienna, Austria)

  • Lupi, Claudio

    (Department SEGeS, Faculty of Economics, University of Molise, Campobasso, Italy)

Abstract

In this paper we propose a simple extension to the panel case of the covariate-augmented Dickey Fuller (CADF) test for unit roots developed in Hansen (1995). The extension we propose is based on a p-values combination approach that takes into account cross-section dependence. We show that the test is easy to compute, has good size properties and gives power gains with respect to other popular panel approaches. A procedure to compute the asymptotic p-values of Hansen’s CADF test is also a side-contribution of the paper. We also complement Hansen (1995) and Caporale and Pittis (1999) with some new theoretical results. Two empirical applications are carried out for illustration purposes on international data to test the PPP hypothesis and the presence of a unit root in international industrial production indices.

Suggested Citation

  • Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics Series 261, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:261
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    References listed on IDEAS

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    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
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    7. Caporale, Guglielmo Maria & Pittis, Nikitas, 1999. "Unit Root Testing Using Covariates: Some Theory and Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 583-595, November.
    8. Chang, Yoosoon, 2002. "Nonlinear IV unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 110(2), pages 261-292, October.
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    11. Joakim Westerlund & Mauro Costantini, 2009. "Panel cointegration and the neutrality of money," Empirical Economics, Springer, vol. 36(1), pages 1-26, February.
    12. Elliott, Graham & Jansson, Michael, 2003. "Testing for unit roots with stationary covariates," Journal of Econometrics, Elsevier, vol. 115(1), pages 75-89, July.
    13. Costantini, Mauro & Lupi, Claudio & Popp, Stephan, 2007. "A Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp07039, University of Molise, Dept. EGSeI.
    14. repec:ebl:ecbull:v:3:y:2008:i:26:p:1-11 is not listed on IDEAS
    15. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(5), pages 1148-1171, October.
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    20. Yoosoon Chang & Wonho Song, 2009. "Testing for Unit Roots in Small Panels with Short-run and Long-run Cross-sectional Dependencies," Review of Economic Studies, Oxford University Press, vol. 76(3), pages 903-935.
    21. Mauro Costantini & Claudio Lupi, 2013. "A Simple Panel-CADF Test for Unit Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(2), pages 276-296, April.
    22. Peter C. B. Phillips & Zhijie Xiao, 1998. "A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-470, December.
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    3. Apopo, Natalay & Phiri, Andrew, 2019. "On the (in)efficiency of cryptocurrencies: Have they taken daily or weekly random walks?," MPRA Paper 94712, University Library of Munich, Germany.
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    6. Ahmed, Khalid & Shahbaz, Muhammad & Kyophilavong, Phouphet, 2016. "Revisiting the emissions-energy-trade nexus: Evidence from the newly industrializing," MPRA Paper 68680, University Library of Munich, Germany, revised 05 Jan 2016.
    7. Fantazzini, Dean, 2020. "Short-term forecasting of the COVID-19 pandemic using Google Trends data: Evidence from 158 countries," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 59, pages 33-54.
    8. Costantini, Mauro & Lupi, Claudio, 2014. "Identifying I(0) Series in Macro-panels: Are Sequential Panel Selection Methods Useful?," Economics & Statistics Discussion Papers esdp14073, University of Molise, Dept. EGSeI.
    9. Mauro Costantini & Claudio Lupi, 2013. "A Simple Panel-CADF Test for Unit Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(2), pages 276-296, April.
    10. Lan Cheng & Xuguang Simon Sheng, 2017. "Combination of “combinations of p values”," Empirical Economics, Springer, vol. 53(1), pages 329-350, August.
    11. Marta Simoes & Adelaide Duarte & João Sousa Andrade, 2015. "Dimensions of the welfare state and economic performance: a comparative analysis," Investigaciones de Economía de la Educación volume 10, in: Marta Rahona López & Jennifer Graves (ed.), Investigaciones de Economía de la Educación 10, edition 1, volume 10, chapter 41, pages 811-828, Asociación de Economía de la Educación.
    12. João A. S. ANDRADE & Adelaide P. S. DUARTE & Marta C. N. SIMÕES, 2018. "Education and health: welfare state composition and growth across country groups," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 9, pages 111-144, December.
    13. Claudiu Tiberiu Albulescu & Dominique Pépin & Aviral Kumar Tiwari, 2016. "A RE-EXAMINATION OF REAL INTEREST PARITY IN CEECs USING ‘OLD’ AND ‘NEW’ SECOND-GENERATION PANEL UNIT ROOT TESTS," Bulletin of Economic Research, Wiley Blackwell, vol. 68(2), pages 133-150, April.
    14. Karaman Örsal, Deniz Dilan & Arsova, Antonia, 2016. "A panel cointegration rank test with structural breaks and cross-sectional dependence," VfS Annual Conference 2016 (Augsburg): Demographic Change 145822, Verein für Socialpolitik / German Economic Association.
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    More about this item

    Keywords

    Unit root; panel data; approximate p-values; Monte Carlo;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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