# Mixed signals among tests for cointegration

## Author Info

• Allan W. Gregory

(Queen's University, Kingston, Canada)

• Alfred A. Haug

(York University, Toronto, Canada)

• Nicoletta Lomuto

(DATACORP, Providence, Rhode Island, USA)

Registered author(s):

## 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. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
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. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115.
4. 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.
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.
6. Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, EconWPA.
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. 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.
9. 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.
10. Newey, W.K. & West, K.D., 1992. "Automatic Lag Selection in Covariance Matrix Estimation," Working papers 9220, Wisconsin Madison - Social Systems.
11. 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.
12. 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.
13. 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.
14. 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.
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. 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.
2. Bayer, Christian & Hanck, Christoph, 2008. "Is Double Trouble? How to Combine Cointegration Tests," Research Memoranda 014, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
3. Syed Abul Basher & Elsayed Mousa Elsamadisy, 2012. "Country heterogeneity and long-run determinants of inflation in the Gulf Arab states," OPEC Energy Review, Organization of the Petroleum Exporting Countries, vol. 36(2), pages 170-203, 06.
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.
5. 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.
6. Syed Abul Basher & Alfred Haug & Perry Sadorsky, 2010. "Oil Prices, Exchange Rates and Emerging Stock Markets," Working Papers 1014, University of Otago, Department of Economics, revised Sep 2010.
7. Hanck, Christoph, 2006. "Mixed Signals Among Panel Cointegration Tests," Technical Reports 2006,45, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
8. Alfred A. Haug & Syed A. Basher, 2004. "Unit Roots, Nonlinear Cointegration and Purchasing Power Parity," Econometrics 0401006, EconWPA, revised 16 Nov 2005.
9. 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.
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.

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