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Mixed signals among tests for cointegration

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Author Info
Allan W. Gregory (Queen's University, Kingston, Canada)
Alfred A. Haug (York University, Toronto, Canada)
Nicoletta Lomuto (DATACORP, Providence, Rhode Island, USA)

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Abstract

This paper illustrates that, under the null hypothesis of no cointegration, the correlation of p-values from a single-equation residual-based test (i.e., ADF or $\widehat{Z}_{\alpha}$) with a system-based test (trace or maximum eigenvalue) is very low even as the sample size gets large. With data-generating processes under the null or 'near' it, the two types of tests can yield virtually any combination of p-values regardless of sample size. As a practical matter, we also conduct tests for cointegration on 132 data sets from 34 studies appearing in this Journal and find substantial differences in p-values for the same data set. Copyright © 2004 John Wiley & Sons, Ltd.

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File URL: http://hdl.handle.net/10.1002/jae.733
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File URL: http://qed.econ.queensu.ca:80/jae/2004-v19.1/
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Publisher Info
Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 19 (2004)
Issue (Month): 1 ()
Pages: 89-98
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Handle: RePEc:jae:japmet:v:19:y:2004:i:1:p:89-98

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References listed on IDEAS
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. Gregory, Allan W, 1994. "Testing for Cointegration in Linear Quadratic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 347-60, July.
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  2. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-77, Sept.-Oct. [Downloadable!]
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  3. Zivot, Eric, 2000. "The Power Of Single Equation Tests For Cointegration When The Cointegrating Vector Is Prespecified," Econometric Theory, Cambridge University Press, vol. 16(03), pages 407-439, June. [Downloadable!]
  4. 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)
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  5. 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.
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  6. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1015-1032, October. [Downloadable!]
  7. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115. [Downloadable!] (restricted)
  8. Hiro Toda & Peter Phillips, 1994. "Vector autoregression and causality: a theoretical overview and simulation study," Econometric Reviews, Taylor and Francis Journals, vol. 13(2), pages 259-285. [Downloadable!] (restricted)
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  9. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
  10. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Blackwell Publishing, vol. 61(4), pages 631-53, October. [Downloadable!] (restricted)
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  11. Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, EconWPA. [Downloadable!]
  12. Boswijk, Peter & Franses, Philip Hans, 1992. "Dynamic Specification and Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 369-81, August.
  13. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-18, Nov.-Dec.. [Downloadable!] (restricted)
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  14. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [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. Christian Bayer & Christoph Hanck, 2008. "Is Double Trouble? – How to Combine Cointegration Tests," Ruhr Economic Papers 0048, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen. [Downloadable!]
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  2. Christopher Bowdler & Eilev S. Jansen, 2004. "Testing for a time-varying price-cost markup in the Euro area inflation process," Economics Papers 2004-W10, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
  3. Felicitas Nowak-Lehmann D. & Inmaculada Martínez-Zarzoso & Dierk Herzer & Stephan Klasen & Axel Dreher, 2009. "In Search for a Long-run Relationship between Aid and Growth: Pitfalls and Findings," Ibero America Institute for Econ. Research (IAI) Discussion Papers 196, Ibero-America Institute for Economic Research. [Downloadable!]
  4. Badi H. Baltagi & Zijun Wang, 2006. "Testing for Cointegrating Rank via Model Selection: Evidence from 165 Data Sets," Center for Policy Research Working Papers 83, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
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  5. Christopher Bowdler & Eilev S. Jansen, 2004. "Testing for a time-varying price-cost markup in the Euro area inflation process," Working Paper Series 4004, Department of Economics, Norwegian University of Science and Technology, revised 11 May 2004. [Downloadable!]
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  6. Alfred A. Haug & Syed A. Basher, 2004. "Unit Roots, Nonlinear Cointegration and Purchasing Power Parity," Econometrics 0401006, EconWPA, revised 16 Nov 2005. [Downloadable!]
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