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The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified

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Author Info

  • Eric Zivot

    (The University of Washington)

Abstract

In this paper I present an alternative derivation of the asymptotic distribution of Kremers, Ericsson and Dolado's (1992) conditional ECM- based t-test for no-cointegration with a single prespecified cointegrating vector. This alternative distribution, which is identical to the distribution of Hansen's (1995) covariate augmented t-test for a unit root, is valid for weakly exogenous regressors and depends on a consistently estimable nuisance parameter that takes on values in the unit interval. I show analytically, using asymptotic power functions based on near cointegrated alternatives, that the ECM t-test with a prespecified cointegrating vector can have much higher power than single equation tests for cointegration based on estimating the cointegrating vector. I also characterize situations in which the ECM t-test computed with a misspecified cointegrating vector will have high power.

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File URL: http://128.118.178.162/eps/em/papers/9612/9612001.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 9612001.

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Length: 25 pages
Date of creation: 02 Dec 1996
Date of revision:
Handle: RePEc:wpa:wuwpem:9612001

Note: Type of Document - Adobe .pdf file; prepared on IBM-PC; pages: 25; figures: 25, in separate file ecmfigs.pdf
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Web page: http://128.118.178.162

Related research

Keywords: cointegration; common factor; error correction model; local power; misspecification; near-cointegration; strong exogeneity; weak exogeneity.;

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References

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  1. repec:cup:etheor:v:11:y:1995:i:5:p:984-1014 is not listed on IDEAS
  2. Jeroen J.M. Kremers & Neil R. Ericsson & Juan J. Dolado, 1992. "The power of cointegration tests," International Finance Discussion Papers 431, Board of Governors of the Federal Reserve System (U.S.).
  3. 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.
  4. Inder, Brett, 1993. "Estimating long-run relationships in economics : A comparison of different approaches," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 53-68.
  5. James H. Stock & Mark W. Watson, 1991. "A simple estimator of cointegrating vectors in higher order integrated systems," Working Paper Series, Macroeconomic Issues 91-3, Federal Reserve Bank of Chicago.
  6. 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.
  7. 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.
  8. repec:cup:etheor:v:11:y:1995:i:5:p:1148-71 is not listed on IDEAS
  9. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  10. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
  11. Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(05), pages 984-1014, October.
  12. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  13. Peter Boswijk, H., 1994. "Testing for an unstable root in conditional and structural error correction models," Journal of Econometrics, Elsevier, vol. 63(1), pages 37-60, July.
  14. Anindya Banerjee & Juan J. Dolado & Ricardo Mestre, 1995. "On the Power of Cointegration Tests: Dimension Invariance vs. Common Factors," Working Papers 922, Queen's University, Department of Economics.
  15. 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.
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Citations

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Cited by:
  1. Jing Li & Junsoo Lee, 2009. "ADL tests for threshold cointegration," SDSU Working Papers in Progress 22009, South Dakota State University, Department of Economics.
  2. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, 06.
  3. Ming Chien Lo & Eric Zivot, 1999. "Threshold Cointegration and Nonlinear Adjustment to the Law of One Price," Working Papers 0030, University of Washington, Department of Economics.
  4. Allan W. Gregory & Alfred A. Haug & Nicoletta Lomuto, 2004. "Mixed signals among tests for cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(1), pages 89-98.
  5. Peter F. Christoffersen & Francis X. Diebold, 1997. "Cointegration and Long-Horizon Forecasting," NBER Technical Working Papers 0217, National Bureau of Economic Research, Inc.
  6. Miguel Arranz & Alvaro Escribano, 2006. "Bootstrapping cointegration tests under structural co-breaks: A robust extended ECM test," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(1), pages 179-208, June.
  7. 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.
  8. Bingcheng Yan & Eric Zivot, 2007. "A Structural Analysis of Price Discovery Measures," Working Papers UWEC-2006-08-FC, University of Washington, Department of Economics, revised Apr 2007.

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