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The power of cointegration tests

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Author Info
Jeroen J.M. Kremers
Neil R. Ericsson
Juan J. Dolado

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Abstract

A cointegration test statistic based upon estimation of an error cor­rection model can be approximately normally distributed when no cointegration is present. By contrast, the equivalent Dickey-Fuller statistic applied to residuals from a static relationship has a non-standard asymptotic distribution. When cointegration exists, the error-correction test generally is more powerful than the Dickey-Fuller test. These differences arise because the latter imposes a possibly invalid common factor restriction. The issue is general and has ramifications for system-based cointegration tests. Monte Carlo analysis and an empirical study of U.K. money demand demonstrate the differences in power.

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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series International Finance Discussion Papers with number 431.

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Date of creation: 1992
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Handle: RePEc:fip:fedgif:431

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Keywords: Econometrics;

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  1. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June. [Downloadable!] (restricted)
  2. Phillips, P C B & Durlauf, S N, 1986. "Multiple Time Series Regression with Integrated Processes," Review of Economic Studies, Blackwell Publishing, vol. 53(4), pages 473-95, August. [Downloadable!] (restricted)
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  3. Johansen, Soren, 1992. "Testing weak exogeneity and the order of cointegration in UK money demand data," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 313-334, June. [Downloadable!] (restricted)
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  4. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March. [Downloadable!] (restricted)
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  5. Nymoen, Ragnar, 1992. "Finnish manufacturing wages 1960-1987: Real-wage flexibility and hysteresis," Journal of Policy Modeling, Elsevier, vol. 14(4), pages 429-451, August. [Downloadable!] (restricted)
  6. 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.
  7. James MacKinnon, 1990. "Critical Values for Cointegration Tests," University of California at San Diego, Economics Working Paper Series 90-4, Department of Economics, UC San Diego. [Downloadable!]
  8. Sargan, J D, 1980. "Some Tests of Dynamic Specification for a Single Equation," Econometrica, Econometric Society, vol. 48(4), pages 879-97, May. [Downloadable!] (restricted)
  9. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December. [Downloadable!] (restricted)
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  10. Hendry, David F & Mizon, Grayham E, 1978. "Serial Correlation as a Convenient Simplification, not a Nuisance: A Comment on a Study of the Demand for Money by the Bank of England," Economic Journal, Royal Economic Society, vol. 88(351), pages 549-63, September. [Downloadable!] (restricted)
  11. Hendry, David F. & Richard, Jean-Francois, 1982. "On the formulation of empirical models in dynamic econometrics," Journal of Econometrics, Elsevier, vol. 20(1), pages 3-33, October. [Downloadable!] (restricted)
  12. Neil R. Ericsson & Julia Campos & Hong-Anh Tran, 1991. "PC-give and David Hendry's econometric methodology," International Finance Discussion Papers 406, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  13. Julia Campos & Neil R. Ericsson, 1988. "Econometric modeling of consumers' expenditure in Venezuela," International Finance Discussion Papers 325, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  14. Søren Johansen & Katarina Juselius, 1990. "Some Structural Hypotheses in a Multivariate Cointegration Analysis of the Purchasing Power Parity and the Uncovered Interest Parity for UK," Discussion Papers 90-05, University of Copenhagen. Department of Economics.
  15. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November. [Downloadable!] (restricted)
  16. Sargan, John Denis & Bhargava, Alok, 1983. "Testing Residuals from Least Squares Regression for Being Generated by the Gaussian Random Walk," Econometrica, Econometric Society, vol. 51(1), pages 153-74, January. [Downloadable!] (restricted)
  17. Davidson, James E H, et al, 1978. "Econometric Modelling of the Aggregate Time-Series Relationship between Consumers' Expenditure and Income in the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(352), pages 661-92, December. [Downloadable!] (restricted)
  18. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [Downloadable!] (restricted)
  19. Kremers, Jeroen J. M., 1989. "U.S. Federal indebtedness and the conduct of fiscal policy," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 219-238, March. [Downloadable!] (restricted)
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