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Testing for Error Correction in Panel Data

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  • Westerlund, Joakim

    ()
    (Department of Economics, Lund University)

Abstract

This paper proposes four new tests for the null hypothesis of no cointegration in panel data that are based on the error correction parameter in a conditional error correction model. The limit distribution of the test statistics are derived and critical values are provided. Our Monte Carlo results suggest that the tests have reasonable size properties and good power relative to other popular residual-based cointegration tests. These differences arises because latter imposes a possibly invalid common factor restriction. In our empirical application, we present evidence suggesting that international health care expenditures and GDP are cointegrated once the possibility of an invalid common factor restriction has been accounted for.

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Bibliographic Info

Paper provided by Lund University, Department of Economics in its series Working Papers with number 2005:11.

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Length: 31 pages
Date of creation: 26 Jan 2005
Date of revision:
Publication status: Published as Westerlund, Joakim, 'Testing for Error Correction in Panel Data' in Oxford Bulletin of Economics and Statistics, 2007, pages 709-748.
Handle: RePEc:hhs:lunewp:2005_011

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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/en
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Keywords: Panel Cointegration Test; Monte Carlo Simulation; Common Factor Restriction; International Health Care Expenditures.;

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References

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  1. Peter Pedroni, 2004. "Panel Cointegration: Asymptotic and Finite Sample Properties of Pooled Time Series Tests with an Application to the PPP Hypothesis," Department of Economics Working Papers 2004-15, Department of Economics, Williams College.
  2. 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.
  3. Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992. "The Power of Cointegration Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 325-48, August.
  4. Blomqvist, A. G. & Carter, R. A. L., 1997. "Is health care really a luxury?," Journal of Health Economics, Elsevier, vol. 16(2), pages 207-229, April.
  5. 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.
  6. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
  7. 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.
  8. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August.
  9. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-77, August.
  10. Gerdtham, Ulf-G. & Lothgren, Mickael, 2000. "On stationarity and cointegration of international health expenditure and GDP," Journal of Health Economics, Elsevier, vol. 19(4), pages 461-475, July.
  11. Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, EconWPA.
  12. Peter Pedroni, 1999. "Critical Values for Cointegration Tests in Heterogeneous Panels with Multiple Regressors," Department of Economics Working Papers 2000-02, Department of Economics, Williams College.
  13. Suzanne McCoskey & Chihwa Kao, 1998. "A residual-based test of the null of cointegration in panel data," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 57-84.
  14. McCoskey, Suzanne K. & Selden, Thomas M., 1998. "Health care expenditures and GDP: panel data unit root test results," Journal of Health Economics, Elsevier, vol. 17(3), pages 369-376, June.
  15. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation for Research in Economics, Yale University.
  16. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115.
  17. 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.
  18. Hansen, Paul & King, Alan, 1996. "The determinants of health care expenditure: A cointegration approach," Journal of Health Economics, Elsevier, vol. 15(1), pages 127-137, February.
  19. Hansen, Paul & King, Alan, 1998. "Health care expenditure and GDP: panel data unit root test results--comment," Journal of Health Economics, Elsevier, vol. 17(3), pages 377-381, June.
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