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A Simple Panel-CADF Test for Unit Roots

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  • Costantini, Mauro

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  • Lupi, Claudio

    ()

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.

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Bibliographic Info

Paper provided by University of Molise, Dept. EGSeI in its series Economics & Statistics Discussion Papers with number esdp11062.

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Length: 46
Date of creation: 09 Nov 2011
Date of revision:
Handle: RePEc:mol:ecsdps:esdp11062

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Keywords: Unit Root; Panel data; Approximate p values; Monte Carlo;

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References

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  1. Peter C.B. Phillips & Zhijie Xiao, 1998. "A Primer on Unit Root Testing," Cowles Foundation Discussion Papers 1189, Cowles Foundation for Research in Economics, Yale University.
  2. Graham Elliott & Michael Jansson, . "Testing for Unit Roots with Stationary Covariates," Economics Working Papers 2000-6, School of Economics and Management, University of Aarhus.
  3. Elliott, Graham & Pesavento, Elena, 2006. "On the Failure of Purchasing Power Parity for Bilateral Exchange Rates after 1973," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(6), pages 1405-1430, September.
  4. 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 583-95, November.
  5. Joakim Westerlund & Mauro Costantini, 2009. "Panel cointegration and the neutrality of money," Empirical Economics, Springer, vol. 36(1), pages 1-26, February.
  6. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
  7. Matei Demetrescu & Uwe Hassler & Adina-Ioana Tarcolea, 2006. "Combining Significance of Correlated Statistics with Application to Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 647-663, October.
  8. Yoosoon Chang, 2000. "Nonlinear IV Unit Root Tests in Panels with Cross-Sectional Dependency," CIRJE F-Series CIRJE-F-85, CIRJE, Faculty of Economics, University of Tokyo.
  9. Pesaran, M. Hashem, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," IZA Discussion Papers 1240, Institute for the Study of Labor (IZA).
  10. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, . "Some Cautions on the Use of Panel Methods for Integrated Series of Macro-Economic Data," Working Papers 170, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  11. Jomana Amara & David Papell, 2006. "Testing for Purchasing Power Parity using stationary covariates," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 29-39.
  12. 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.
  13. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1148-1171, October.
  14. Banerjee, Anindya & Massimiliano Marcellino & Chiara Osbat, 2002. "Testing for PPP: Should We Use Panel Methods?," Royal Economic Society Annual Conference 2002 13, Royal Economic Society.
  15. Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp11062, University of Molise, Dept. EGSeI.
  16. Costantini, Mauro & Lupi, Claudio & Popp, Stephan, 2007. "A Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp07039, University of Molise, Dept. EGSeI.
  17. Lyhagen, Johan, 2000. "Why not use standard panel unit root test for testing PPP," Working Paper Series in Economics and Finance 413, Stockholm School of Economics.
  18. 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.
  19. repec:ebl:ecbull:v:3:y:2008:i:26:p:1-11 is not listed on IDEAS
  20. DeJong, David N. & Nankervis, John C. & Savin, N. E. & Whiteman, Charles H., 1992. "The power problems of unit root test in time series with autoregressive errors," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 323-343.
  21. Claudio Lupi, . "Unit Root CADF Testing with R," Journal of Statistical Software, American Statistical Association, vol. 32(i02).
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Citations

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Cited by:
  1. Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp11062, University of Molise, Dept. EGSeI.
  2. João Sousa Andrade & Marta Simões & Adelaide Duarte, 2013. "Despesa Pública em Educação e Saúde e Crescimento Económico: Um Contributo para o Debate sobre as Funções Sociais do Estado," GEMF Working Papers 2013-18, GEMF - Faculdade de Economia, Universidade de Coimbra.
  3. Lupi, Claudio, 2011. "Panel-CADF Testing with R: Panel Unit Root Tests Made Easy," Economics & Statistics Discussion Papers esdp11063, University of Molise, Dept. EGSeI.
  4. 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.

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