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A Simple Panel-CADF Test for Unit Roots

  • Mauro Costantini
  • Claudio Lupi

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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File URL: http://hdl.handle.net/10.1111/10.1111/obes.2013.75.issue-2
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Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics and Statistics.

Volume (Year): 75 (2013)
Issue (Month): 2 (04)
Pages: 276-296

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Handle: RePEc:bla:obuest:v:75:y:2013:i:2:p:276-296
DOI: 10.1111/obes.2013.75.issue-2
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  1. Westerlund Joakim, 2006. "Testing for Error Correction in Panel Data," Research Memorandum 056, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  2. Lyhagen, Johan, 2000. "Why not use standard panel unit root test for testing PPP," SSE/EFI Working Paper Series in Economics and Finance 413, Stockholm School of Economics.
  3. 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.
  4. 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.
  5. Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp11062, University of Molise, Dept. EGSeI.
  6. Graham Elliott & Michael Jansson, . "Testing for Unit Roots with Stationary Covariates," Economics Working Papers 2000-6, Department of Economics and Business Economics, Aarhus University.
  7. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2005. "Testing for PPP: Should we use panel methods?," Empirical Economics, Springer, vol. 30(1), pages 77-91, January.
  8. 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.
  9. Lupi, Claudio, 2009. "Unit Root CADF Testing with R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 32(i02).
  10. Costantini, Mauro & Lupi, Claudio & Popp, Stephan, 2007. "A Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp07039, University of Molise, Dept. EGSeI.
  11. 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.
  12. Banerjee, A. & Marcellino, M. & Osbat, C., 2000. "Some Cautions on the Use of Panel Methods for Integrated Series of Macro-economic Data," Economics Working Papers eco2000/20, European University Institute.
  13. Westerlund, Joakim & Costantini, Mauro, 2006. "Panel Cointegration and the Neutrality of Money," Working Papers 2006:18, Lund University, Department of Economics.
  14. Bruce E. Hansen, 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Boston College Working Papers in Economics 300., Boston College Department of Economics.
  15. 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.
  16. 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.
  17. 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.
  18. Phillips, Peter C B & Xiao, Zhijie, 1998. " A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-69, December.
  19. 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.
  20. 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.
  21. repec:ebl:ecbull:v:3:y:2008:i:26:p:1-11 is not listed on IDEAS
  22. 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.
  23. Pesaran, M.H., 2004. "‘General Diagnostic Tests for Cross Section Dependence in Panels’," Cambridge Working Papers in Economics 0435, Faculty of Economics, University of Cambridge.
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