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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)

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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Bibliographic 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

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  1. John C. Chao & Peter C.B. Phillips, 1997. "Model Selection in Partially Nonstationary Vector Autoregressive Processes with Reduced Rank Structure," Cowles Foundation Discussion Papers 1155, Cowles Foundation for Research in Economics, Yale University.
  2. 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..
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  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.
  8. James G. MacKinnon & Alfred A. Haug & Leo Michelis, 1996. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Working Papers 1996_07, York University, Department of Economics.
  9. Kenneth D. West & Whitney K. Newey, 1995. "Automatic Lag Selection in Covariance Matrix Estimation," NBER Technical Working Papers 0144, National Bureau of Economic Research, Inc.
  10. Haug, A.A., 1992. "Tests for Cointegration: A Monte Carlo Comparison," Papers 93-2, York (Canada) - Department of Economics.
  11. 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.
  12. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
  13. Saikkonen, Pentti & Lütkepohl, Helmut, 1998. "Testing for the cointegrating rank of a VAR process with an intercept," SFB 373 Discussion Papers 1998,51, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  14. Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, EconWPA.
  15. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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Citations

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Cited by:
  1. Bayer, Christian & Hanck, Christoph, 2008. "Is double trouble? How to combine cointegration tests," Technical Reports 2008,10, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  2. Di Iorio, Francesca & Fachin, Stefano, 2010. "A Panel Cointegration study of the long-run relationship between Savings and Investments in the OECD economies, 1970-2007," MPRA Paper 25873, University Library of Munich, Germany.
  3. Chandran Govindaraju, V.G.R. & Tang, Chor Foon, 2013. "The dynamic links between CO2 emissions, economic growth and coal consumption in China and India," Applied Energy, Elsevier, vol. 104(C), pages 310-318.
  4. Basher, Syed Abul & Haug, Alfred A. & Sadorsky, Perry, 2012. "Oil prices, exchange rates and emerging stock markets," Energy Economics, Elsevier, vol. 34(1), pages 227-240.
  5. Basher, Syed Abul & Elsamadisy, Elsayed Mousa, 2010. "Country Heterogeneity and Long-Run Determinants of Inflation in the Gulf Arab States," MPRA Paper 27348, University Library of Munich, Germany.
  6. Hanck, Christoph, 2006. "Mixed Signals Among Panel Cointegration Tests," Technical Reports 2006,45, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  7. M. Shahe Emran & Forhad Shilpi, 2008. "Estimating Import Demand Function in Developing Countries: A Structural Econometric Approach with Applications to India and Sri Lanka," Working Papers 2008-10, The George Washington University, Institute for International Economic Policy.
  8. Christopher Bowdler & Eilev S. Jansen, 2004. "Testing for a time-varying price-cost markup in the Euro area inlation process," Working Paper 2004/9, Norges Bank.
  9. Bayer, Christian & Hanck, Christoph, 2009. "Combining Non-Cointegration Tests," Research Memorandum 012, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  10. 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.
  11. 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.
  12. Maxym Chaban, 2010. "Cointegration analysis with structural breaks and deterministic trends: an application to the Canadian dollar," Applied Economics, Taylor & Francis Journals, vol. 42(23), pages 3023-3037.

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