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The Error Correction Model as a Test for Cointegration

Kanioura, A. and Turner, P. (2003) The Error Correction Model as a Test for Cointegration. Working Paper. Department of Economics, University of Sheffield ISSN 1749-8368


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In this paper we generate critical values for a test for cointegration based on the joint significance of the levels terms in an error correction equation. We show that the appropriate critical values are higher than those derived from the standard F-distribution. We compare the power properties of this test with those of the Engle-Granger test and Kremers et al´s t-test based on the t-statistic from an error correction equation. The F-test has higher power than the Engle-Granger test but lower power than the t-form of the error correction test. However, the F-form of the test has the advantage that its distribution is independent of the parameters of the problem being considered. Finally, we consider a test for cointegration between UK and US interest rates. We show that the F-test rejects the null of no cointegration between these variables although the Engle-Granger test fails to do so.

Item Type: Monograph (Working Paper)
Copyright, Publisher and Additional Information: The Sheffield Economics Research Paper (SERP) series offers a forum for the research output of the academic staff and research students of the Department of Economics, University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. All papers may be downloaded free on the understanding that the contents are preliminary and therefore permission from the author(s) should be sought before they are referenced.
Keywords: Cointegration, error correction
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Social Sciences (Sheffield) > Department of Economics (Sheffield) > Sheffield Economics Research Papers Series
Depositing User: Repository Officer
Date Deposited: 20 Oct 2009 12:22
Last Modified: 05 Jun 2014 10:35
Published Version: http://www.shef.ac.uk/economics/research/serps/yea...
Status: Published
Publisher: Department of Economics, University of Sheffield
Identification Number: Sheffield Economic Research Paper Series 2003001
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/9886

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