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Tests for cointegration in panels with regime shifts

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Author Info
Luciano Gutierrez (University of Sassari)

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Abstract

In the paper we extend Gregory and Hansen’s (1996)ADF, Za, Zt cointegration tests to panel data, using the method proposed in Maddala and Wu (1999). We test the null hypothesis of no cointegration for all the units in the panel against the alternative hypothesis of cointegration, while allowing for a one-time regime shift of unknown timing for at least some regressions. We derive the panel tests for the ADF, Za, Zt tests , and compare these tests with Pedroni’s (1999) panel cointegration tests. We show that Gregory and Hansen’s (1996) panel tests have higher power to reject null when there is a structural change in the cointegration vector. We apply the statistics to the analysis of the well known Feldstein-Horioka puzzle for a sample of sixteen OCDE countries. After we allow for a structural break in the cointegration regression, we find strong evidence of cointegration between saving and investment rates.

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Paper provided by EconWPA in its series Econometrics with number 0505007.

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Length: 16 pages
Date of creation: 24 May 2005
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Handle: RePEc:wpa:wuwpem:0505007

Note: Type of Document - pdf; pages: 16
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Related research
Keywords: Panel data; Panel cointegration tests; Structural breaks; Feldstein-Horioka puzzle;

Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data
F32 - International Economics - - International Finance - - - Current Account Adjustment; Short-term Capital Movements
F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Kyung-So Im & Junsoo Lee & Margie Tieslau, 2005. "Panel LM Unit-root Tests with Level Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 393-419, 06. [Downloadable!] (restricted)
  2. Chihwa Kao & Suzanne McCoskey, 1997. "A Residual-Based Test Of The Null Of Cointegration In Panel Data," Econometrics 9711002, EconWPA. [Downloadable!]
    Other versions:
  3. Martin Feldstein & Charles Horioka, 1980. "Domestic Savings and International Capital Flows," NBER Working Papers 0310, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  4. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-76, April.
    Other versions:
  5. Luciano Gutierrez & Michele Gutierrez, 2003. "International R&D Spillovers and Productivity Growth in the Agricultural Sector. A Panel Cointegration Approach," Econometrics 0302001, EconWPA. [Downloadable!]
    Other versions:
  6. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
  7. Chang, Yoosoon & Park, Joon & Song, Kevin, 2002. "Bootstrapping Cointegrating Regressions," Working Papers 2002-04, Rice University, Department of Economics. [Downloadable!]
  8. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-93, January. [Downloadable!] (restricted)
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  9. Pedroni, Peter, 1999. " Critical Values for Cointegration Tests in Heterogeneous Panels with Multiple Regressors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 653-70, Special I. [Downloadable!] (restricted)
  10. Westerlund, Joakim, 2005. "Testing for Panel Cointegration with Multiple Structural Breaks," Working Papers 2005:12, Lund University, Department of Economics.
  11. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November. [Downloadable!] (restricted)
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  12. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April. [Downloadable!] (restricted)
  13. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
    Other versions:
  14. Alexakis, Panayotis & Apergis, Nicholas, 1994. "The Feldstein-Horioka puzzle and exchange rate regimes: Evidence from cointegration tests," Journal of Policy Modeling, Elsevier, vol. 16(5), pages 459-472, October. [Downloadable!] (restricted)
  15. Gutierrez, Luciano, 2003. "On the power of panel cointegration tests: a Monte Carlo comparison," Economics Letters, Elsevier, vol. 80(1), pages 105-111, July. [Downloadable!] (restricted)
  16. Kao, Chihwa, 1999. "Spurious regression and residual-based tests for cointegration in panel data," Journal of Econometrics, Elsevier, vol. 90(1), pages 1-44, May. [Downloadable!] (restricted)
  17. Pesaran, M. Hashem, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," IZA Discussion Papers 1240, Institute for the Study of Labor (IZA). [Downloadable!]
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  18. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January. [Downloadable!] (restricted)
    Other versions:
  19. Syed Abul Basher & Mohammed Mohsin, 2004. "PPP tests in cointegrated panels: evidence from Asian developing countries," Applied Economics Letters, Taylor and Francis Journals, vol. 11(3), pages 163-166, February. [Downloadable!] (restricted)
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  20. Anindya Banerjee & Paolo Zanghieri, 2003. "A New Look at the Feldstein-Horioka Puzzle using an Integrated Panel," Working Papers 2003-22, CEPII research center. [Downloadable!]
  21. 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. [Downloadable!] (restricted)
    Other versions:
  22. Leybourne, S J & McCabe, B P M, 1994. "A Consistent Test for a Unit Root," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 157-66, April.
  23. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341. [Downloadable!] (restricted)
    Other versions:
  24. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July. [Downloadable!] (restricted)
    Other versions:
  25. Pedroni, Peter, 2004. "Panel Cointegration: Asymptotic And Finite Sample Properties Of Pooled Time Series Tests With An Application To The Ppp Hypothesis," Econometric Theory, Cambridge University Press, vol. 20(03), pages 597-625, June. [Downloadable!]
  26. Chang, Yoosoon & Park, Joon Y. & Song, Kevin, 2006. "Bootstrapping cointegrating regressions," Journal of Econometrics, Elsevier, vol. 133(2), pages 703-739, August. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Di Iorio, Francesca & Fachin, Stefano, 2006. "Testing for breaks in cointegrated panels," MPRA Paper 3280, University Library of Munich, Germany. [Downloadable!]
  2. Di Iorio, Francesca & Fachin, Stefano, 2007. "Testing for cointegration in dependent panels via residual-based bootstrap methods," MPRA Paper 3139, University Library of Munich, Germany, revised 11 Dec 2008. [Downloadable!]
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