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A Simple Panel-CADF Test for Unit Roots

Author Info

  • 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.

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File URL: http://www.ihs.ac.at/publications/eco/es-261.pdf
File Function: First version, 2011
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Paper provided by Institute for Advanced Studies in its series Economics Series with number 261.

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Length: 46 pages
Date of creation: Jan 2011
Date of revision:
Handle: RePEc:ihs:ihsesp:261
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Keywords: Unit root; panel data; approximate p-values; Monte Carlo;

Other versions of this item:

Find related papers by 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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  1. 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.
  2. Westerlund, Joakim & Costantini, Mauro, 2006. "Panel Cointegration and the Neutrality of Money," Working Papers 2006:18, Lund University, Department of Economics.
  3. Graham Elliott & Michael Jansson, . "Testing for Unit Roots with Stationary Covariates," Economics Working Papers 2000-6, School of Economics and Management, University of Aarhus.
  4. 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.
  5. 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.
  6. Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics Series 261, Institute for Advanced Studies.
  7. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Technical Working Papers 0100, National Bureau of Economic Research, Inc.
  8. 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.
  9. 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.
  10. Anindya Banerjee & Massimiliano Marcellino & Chiara Osbat, 2004. "Some cautions on the use of panel methods for integrated series of macroeconomic data," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 322-340, December.
  11. 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.
  12. 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.
  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. Costantini, Mauro & Lupi, Claudio & Popp, Stephan, 2007. "A Panel-CADF Test for Unit Roots," Economics & Statistics Discussion Papers esdp07039, University of Molise, Dept. EGSeI.
  15. 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.
  16. 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.
  17. Joakim Westerlund, 2007. "Testing for Error Correction in Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(6), pages 709-748, December.
  18. MOON, Hyungsik Roger & PERRON, Benoit., 2002. "Testing for a Unit Root in Panels with Dynamic Factors," Cahiers de recherche 2002-18, Universite de Montreal, Departement de sciences economiques.
  19. 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.
  20. 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.
  21. Claudio Lupi, . "Unit Root CADF Testing with R," Journal of Statistical Software, American Statistical Association, vol. 32(i02).
  22. repec:ebl:ecbull:v:3:y:2008:i:26:p:1-11 is not listed on IDEAS
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Cited by:

  1. 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.
  2. Costantini, Mauro & Lupi, Claudio, 2011. "A Simple Panel-CADF Test for Unit Roots," Economics Series 261, Institute for Advanced Studies.
  3. 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.
  4. Lupi, Claudio, 2011. "Panel-CADF Testing with R: Panel Unit Root Tests Made Easy," Economics & Statistics Discussion Papers esdp11063, University of Molise, Dept. EGSeI.

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