IDEAS home Printed from https://ideas.repec.org/a/taf/applec/v37y2005i3p265-270.html
   My bibliography  Save this article

Critical values for an F-test for cointegration in a multivariate model

Author

Listed:
  • Athina Kanioura
  • Paul Turner

Abstract

Critical values for a test for cointegration are generated based on the joint significance of the levels terms in an error-correction equation. It is shown that the appropriate critical values are higher than those derived from the standard F-distribution. The power properties of this test are compared with those of the Engle-Granger (Econometrica, 55, 251-76, 1987) test and Kremers et al.'s (Oxford Bulletin of Economics and Statistics, 54(3), 325-48, 1992) 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, a test is considered for cointegration between UK and US interest rates. It is shown that the F-test rejects the null of no cointegration between these variables although the Engle-Granger test fails to do so.

Suggested Citation

  • Athina Kanioura & Paul Turner, 2005. "Critical values for an F-test for cointegration in a multivariate model," Applied Economics, Taylor & Francis Journals, vol. 37(3), pages 265-270.
    • Handle: RePEc:taf:applec:v:37:y:2005:i:3:p:265-270
    DOI: 10.1080/00036840412331315051
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/00036840412331315051
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00036840412331315051?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, June.
    2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. Hendry, David F & Mizon, Grayham E, 1978. "Serial Correlation as a Convenient Simplification, not a Nuisance: A Comment on a Study of the Demand for Money by the Bank of England," Economic Journal, Royal Economic Society, vol. 88(351), pages 549-563, September.
    4. Davidson, James E H, et al, 1978. "Econometric Modelling of the Aggregate Time-Series Relationship between Consumers' Expenditure and Income in the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(352), pages 661-692, December.
    5. James G. MacKinnon, 1990. "Critical Values for Cointegration Tests," Working Paper 1227, Economics Department, Queen's University.
    6. 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 325-348, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Månsson, Kristofer & Shukur, Ghazi & Sjölander, Pär, 2012. "Testing for Panel Cointegration in an Error Correction Framework - with an Application to the Fisher Hypothesis," HUI Working Papers 72, HUI Research.
    2. Bertelli, Stefano & Vacca, Gianmarco & Zoia, Maria, 2022. "Bootstrap cointegration tests in ARDL models," Economic Modelling, Elsevier, vol. 116(C).
    3. Tang, Chor Foon, 2008. "A re-examination of the relationship between electricity consumption and economic growth in Malaysia," Energy Policy, Elsevier, vol. 36(8), pages 3067-3075, August.
    4. Chor Foon Tang and Eu Chye Tan, 2012. "Electricity Consumption and Economic Growth in Portugal: Evidence from a Multivariate Framework Analysis," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    5. Hiroki Iwata & Keisuke Okada & Sovannroeun Samreth, 2012. "Empirical study on the determinants of CO 2 emissions: evidence from OECD countries," Applied Economics, Taylor & Francis Journals, vol. 44(27), pages 3513-3519, September.
    6. Paul Turner, 2006. "Response surfaces for an F-test for cointegration," Applied Economics Letters, Taylor & Francis Journals, vol. 13(8), pages 479-482.
    7. Tuck Cheong Tang, 2008. "Money demand function for Southeast Asian countries," Journal of Economic Studies, Emerald Group Publishing, vol. 34(6), pages 476-496, January.
    8. Sebastian Kripfganz & Daniel C. Schneider, 2020. "Response Surface Regressions for Critical Value Bounds and Approximate p‐values in Equilibrium Correction Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1456-1481, December.
    9. Tang, Chor Foon & Tan, Eu Chye, 2013. "Exploring the nexus of electricity consumption, economic growth, energy prices and technology innovation in Malaysia," Applied Energy, Elsevier, vol. 104(C), pages 297-305.
    10. Tuck Cheong Tang, 2007. "Money demand function for Southeast Asian countries," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 34(6), pages 476-496, November.
    11. Lee-Chea Hiew & Chin-Hong Puah & Mohammad Affendy Arip & Mei-Teing Chong, 2019. "Role of Advertising Expenditure as an Influential Non-traditional Regressor in Russia¡¯s Money Demand Specification," International Journal of Financial Research, International Journal of Financial Research, Sciedu Press, vol. 10(6), pages 232-240, October.
    12. Wanniarachchi, Sasindu Lakruwan, 2020. "The Nexus among External Debt and Economic Growth: Evidence from South Asia," OSF Preprints ghfdb, Center for Open Science.
    13. Anam Tanveer & Muhammad Mehran Latif & Maryum Ziafat, 2019. "Role of Foreign Aid in Employment Generation: A Case Study of Pakistan," iRASD Journal of Economics, International Research Alliance for Sustainable Development (iRASD), vol. 1(2), pages 103-112, December.
    14. Chor Tang & Bee Tan, 2014. "The linkages among energy consumption, economic growth, relative price, foreign direct investment, and financial development in Malaysia," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(2), pages 781-797, March.
    15. Cook, Steven, 2007. "On the relationship between mergers and economic activity: Evidence from an optimised hybrid method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 628-634.
    16. Batten, Jonathan A. & Ciner, Cetin & Lucey, Brian M, 2014. "On the economic determinants of the gold–inflation relation," Resources Policy, Elsevier, vol. 41(C), pages 101-108.
    17. Lai, T.M. & To, W.M. & Lo, W.C. & Choy, Y.S. & Lam, K.H., 2011. "The causal relationship between electricity consumption and economic growth in a Gaming and Tourism Center: The case of Macao SAR, the People’s Republic of China," Energy, Elsevier, vol. 36(2), pages 1134-1142.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Athina Kanioura & Paul Turner, 2003. "The Error Correction Model as a Test for Cointegration," Working Papers 2003001, The University of Sheffield, Department of Economics, revised Mar 2003.
    2. 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 325-348, August.
    3. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, June.
    4. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
    5. David F. Hendry & Peter C.B. Phillips, 2017. "John Denis Sargan at the London School of Economics," Cowles Foundation Discussion Papers 2082, Cowles Foundation for Research in Economics, Yale University.
    6. Dierk Herzer & Stephan Klasen & Felicitas Nowak-Lehmann D., 2006. "In search of FDI-led growth in developing countries," Ibero America Institute for Econ. Research (IAI) Discussion Papers 150, Ibero-America Institute for Economic Research.
    7. G. Everaert, 2007. "Estimating Long-Run Relationships between Observed Integrated Variables by Unobserved Component Methods," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 07/452, Ghent University, Faculty of Economics and Business Administration.
    8. Christopher L. Gilbert & Duo Qin, 2005. "The First Fifty Years of Modern Econometrics," Working Papers 544, Queen Mary University of London, School of Economics and Finance.
    9. Norah Al-Ballaa, 2005. "Test for cointegration based on two-stage least squares," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 707-713.
    10. Ericsson, Neil R., 1992. "Cointegration, exogeneity, and policy analysis: An overview," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 251-280, June.
    11. Ramzi Issa & Robert Lafrance & John Murray, 2008. "The turning black tide: energy prices and the Canadian dollar," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 41(3), pages 737-759, August.
    12. Victor E. Oriavwote & Dickson O. Oyovwi, 2013. "Modeling Private Investment Behavior in Nigeria: A Cointegration Approach," Accounting and Finance Research, Sciedu Press, vol. 2(3), pages 1-14, August.
    13. Paulo Esteves & António Rua, 2015. "Is there a role for domestic demand pressure on export performance?," Empirical Economics, Springer, vol. 49(4), pages 1173-1189, December.
    14. Koi Nyen Wong & Tuck Cheong Tang, 2009. "Exchange rate variability and the export demand for Malaysia's semiconductors: an empirical study," Applied Economics, Taylor & Francis Journals, vol. 43(6), pages 695-706.
    15. Jurgen A. Doornik & David F. Hendry & Neil Shephard, "undated". "Computationally-intensive Econometrics using a Distributed Matrix-programming Language," Economics Papers 2001-W22, Economics Group, Nuffield College, University of Oxford.
    16. Janine Aron & John Muellbauer, 2000. "Personal and Corporate Saving in South Africa," The World Bank Economic Review, World Bank, vol. 14(3), pages 509-544, September.
    17. Neil R. Ericsson & Steven B. Kamin, 1993. "Dollarization in Argentina," International Finance Discussion Papers 460, Board of Governors of the Federal Reserve System (U.S.).
    18. Sunil Sharma & Neil R. Ericsson, 1998. "Broad money demand and financial liberalization in Greece," Empirical Economics, Springer, vol. 23(3), pages 417-436.
    19. Pål Boug, 1999. "The Demand for Labour and the Lucas Critique. Evidence from Norwegian Manufacturing," Discussion Papers 256, Statistics Norway, Research Department.
    20. Julia Campos & Neil R. Ericsson & David F. Hendry, 2005. "General-to-specific modeling: an overview and selected bibliography," International Finance Discussion Papers 838, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:applec:v:37:y:2005:i:3:p:265-270. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEC20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.