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Tests for the Null Hypothesis of Cointegration: a Monte Carlo Comparison

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Author Info
Vasco J. Gabriel () (Universidade do Minho - NIPE, Birkbeck College, University of London)

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Abstract

The aim of this paper is to compare the relative performance of several tests for the null hypothesis of cointegration, in terms of size and power in finite samples. This is carried out resorting to Monte Carlo simulations, considering a range of plausible data-generating processes. As of this writing, there is no study providing guidance on the use of this type of procedures in empirical situations, with the exception of the limited studies of McCabe et al. (1997) and Haug (1996). We also analyse the impact on size and power of choosing different procedures to estimate the long-run variance of the errors. we found that the parametrically adjusted test of McCabe et al. (1997) is the most well-balanced test in terms of power and size distrortions.

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Paper provided by NIPE - Universidade do Minho in its series NIPE Working Papers with number 7/2001.

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Date of creation: 2001
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Handle: RePEc:nip:nipewp:7/2001

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Postal: Núcleo de Investigação em Políticas Económicas, Escola de Economia e Gestão, Universidade do Minho, P-4710-057 Braga, Portugal
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Related research
Keywords: Cointegration; Tests; Monte Carlo.;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

References listed on IDEAS
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    Other versions:
  2. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-43, January. [Downloadable!] (restricted)
  3. M. Lanne & P. Saikkonen, . "Reducing Size Distortions of Parametric Stationarity Tests," Sonderforschungsbereich 373 2000-12, Humboldt Universitaet Berlin.
    Other versions:
  4. Lee, Junsoo, 1996. "On the power of stationarity tests using optimal bandwidth estimates," Economics Letters, Elsevier, vol. 51(2), pages 131-137, May. [Downloadable!] (restricted)
  5. 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:
  6. Schwert, G William, 1989. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(2), pages 147-59, April.
    Other versions:
  7. repec:cup:etheor:v:10:y:1994:i:1:p:95-115 is not listed on IDEAS
  8. Hao, K., 1996. "Testing for Structural Change in Cointegrated Regression Models: Some Comparisons and Generalizations," Monash Econometrics and Business Statistics Working Papers 3/96, Monash University, Department of Econometrics and Business Statistics.
  9. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115. [Downloadable!] (restricted)
  10. Charemza, Wojciech W. & Syczewska, Ewa M., 1998. "Joint application of the Dickey-Fuller and KPSS tests," Economics Letters, Elsevier, vol. 61(1), pages 17-21, October. [Downloadable!] (restricted)
  11. Bart Hobijn & Philip Hans Franses & Marius Ooms, 2004. "Generalizations of the KPSS-test for stationarity," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 483-502. [Downloadable!] (restricted)
  12. Carrion-i-Silvestre, Josep Lluis & Sanso-i-Rossello, Andreu & Ortuno, Manuel Artis, 2001. "Unit root and stationarity tests' wedding," Economics Letters, Elsevier, vol. 70(1), pages 1-8, January. [Downloadable!] (restricted)
  13. Kang Hao, 1996. "Testing for structural change in cointegrated regression models: some comparisons and generalizations," Econometric Reviews, Taylor and Francis Journals, vol. 15(4), pages 401-429. [Downloadable!] (restricted)
  14. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(01), pages 91-115, March. [Downloadable!]
  15. 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.
  16. Tanaka, Katsuto, 1990. "Testing for a Moving Average Unit Root," Econometric Theory, Cambridge University Press, vol. 6(04), pages 433-444, December. [Downloadable!]
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  18. Xiao, Zhijie, 1999. "A residual based test for the null hypothesis of cointegration," Economics Letters, Elsevier, vol. 64(2), pages 133-141, August. [Downloadable!] (restricted)
  19. Ploberger, Werner & Kramer, Walter & Kontrus, Karl, 1989. "A new test for structural stability in the linear regression model," Journal of Econometrics, Elsevier, vol. 40(2), pages 307-318, February. [Downloadable!] (restricted)
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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. Vasco J. Gabriel, 2001. "Cointegration and the joint confirmation hypothesis," NIPE Working Papers 12/2001, NIPE - Universidade do Minho. [Downloadable!]
    Other versions:
  2. Vasco J. Gabriel & Martin Sola & Zacharias Psaradakis, 2002. "Residual-based tests for cointegration and multiple regime shifts," NIPE Working Papers 7/2002, NIPE - Universidade do Minho. [Downloadable!]
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