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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)

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

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 25 pages
Date of creation: 02 Dec 1996
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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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Related research
Keywords: cointegration; common factor; error correction model; local power; misspecification; near-cointegration; strong exogeneity; weak exogeneity.;

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Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

References listed on IDEAS
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  1. 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. [Downloadable!] (restricted)
  2. repec:cup:etheor:v:11:y:1995:i:5:p:984-1014 is not listed on IDEAS
  3. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
    Other versions:
  4. 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. [Downloadable!]
    Other versions:
  5. 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.
  6. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July. [Downloadable!] (restricted)
    Other versions:
  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. [Downloadable!] (restricted)
    Other versions:
  8. 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. [Downloadable!] (restricted)
    Other versions:
  9. 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. [Downloadable!] (restricted)
  10. 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.
    Other versions:
  11. repec:cup:etheor:v:11:y:1995:i:5:p:1148-71 is not listed on IDEAS
  12. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [Downloadable!] (restricted)
  13. 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. [Downloadable!]
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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. Westerlund, Joakim, 2005. "Testing for Error Correction in Panel Data," Working Papers 2005:11, Lund University, Department of Economics. [Downloadable!]
  2. Peter F. Christoffersen & Francis X. Diebold, 1997. "Cointegration and Long-Horizon Forecasting," NBER Technical Working Papers 0217, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. Westerlund, Joakim, 2006. "Some Cautions on the Use of the LLC Panel Unit Root Test," Research Memoranda 055, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  4. Neil R. Ericsson & James G. MacKinnon, 1999. "Distributions of error correction tests for cointegration," International Finance Discussion Papers 655, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
    Other versions:
  5. 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. [Downloadable!]
  6. Jing Li & Junsoo Lee, 2009. "ADL tests for threshold cointegration," SDSU Working Papers (in Progress) 22009, South Dakota State University, Department of Economics. [Downloadable!]
  7. Graham Elliott & Michael Jansson & Elena Pesavento, 2004. "Optimal Power for Testing Potential Cointegrating Vectors with Known," University of California at San Diego, Economics Working Paper Series 2004-08, Department of Economics, UC San Diego. [Downloadable!]
  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. [Downloadable!]
  9. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2007. "A Sieve Bootstrap Test for Cointegration in a Conditional Error Correction Model," Research Memoranda 054, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  10. 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. [Downloadable!] (restricted)
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