IDEAS home Printed from https://ideas.repec.org/p/hhs/hastef/0134.html
   My bibliography  Save this paper

Bartlett Corrections in Cointegration Testing

Author

Listed:
  • Jacobson, Tor

    (Department of Economic Statistics)

  • Larsson, Rolf

    (Department of Statistics)

Abstract

When testing for cointegration, the asymptotic inference typically in use can be plagued by size distortion due to an inadequate first order approximation. Hence, for practical purposes the inference can be completely misleading and result in false conclusions regarding the presence of long-run relationships in the data. Which, of course, in many applications is a key issue. We explore the potentials of Bartlett correction of two cointegration test statistics. The idea is to multiply the test statistic by a correcting factor derived from an asymptotic expansion of its expectation. As a consequence, the reference distribution should then provide a closer approximation to the resulting adjusted statistic in comparison with the unadjusted statistic. In a simple bivariate framework we derive a likelihood ratio test, as well as a first order approximation thereof, for testing the null hypothesis of no cointegration. Suitable Bartlett corrections for the two tests are suggested and using Monte Carlo simulation we evaluate the effectiveness of the proposed methods.

Suggested Citation

  • Jacobson, Tor & Larsson, Rolf, 1996. "Bartlett Corrections in Cointegration Testing," SSE/EFI Working Paper Series in Economics and Finance 134, Stockholm School of Economics.
    • Handle: RePEc:hhs:hastef:0134
    as

    Download full text from publisher

    File URL: http://swopec.hhs.se/hastef/papers/hastef0134.ps
    Download Restriction: no
    File URL: http://swopec.hhs.se/hastef/papers/hastef0134.ps.zip
    Download Restriction: no
    File URL: http://swopec.hhs.se/hastef/papers/hastef0134.pdf
    Download Restriction: no
    File URL: http://swopec.hhs.se/hastef/papers/hastef0134.pdf.zip
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jan R. Magnus, 1978. "The moments of products of quadratic forms in normal variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 32(4), pages 201-210, December.
    2. van Giersbergen, Noud P A, 1996. "Bootstrapping the Trace Statistic in VAR Models: Monte Carlo Results and Applications," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(2), pages 391-408, May.
    3. Rolf Larsson, 1998. "Bartlett Corrections for Unit Root Test Statistics," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(4), pages 425-438, July.
    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. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-277, August.
    6. 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.
    7. Rolf Larsson, 1997. "On the Asymptotic Expectations of Some Unit Root Tests in a First Order Autoregressive Process in the Presence of Trend," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(3), pages 585-599, September.
    8. Rolf Larsson, 1998. "The Order of the Error Term for Moments of the Log Likelihood Ratio Unit Root Test in an Autoregressive Process," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(1), pages 29-48, March.
    9. Abadir, Karim M., 1993. "Ols Bias in a Nonstationary Autoregression," Econometric Theory, Cambridge University Press, vol. 9(1), pages 81-93, January.
    10. Alain Breton & Dinh Pham, 1989. "On the bias of the least squares estimator for the first order autoregressive process," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(3), pages 555-563, September.
    11. Harris, R I D, 1992. "Small Sample Testing for Unit Roots," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(4), pages 615-625, November.
    12. Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-779, May.
    13. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    14. Tor Jacobson, 1995. "Simulating small-sample properties of the maximum likelihood cointegration method : estimation and testing," Finnish Economic Papers, Finnish Economic Association, vol. 8(2), pages 96-107, Autumn.
    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. Canepa Alessandra, 2022. "Small Sample Adjustment for Hypotheses Testing on Cointegrating Vectors," Journal of Time Series Econometrics, De Gruyter, vol. 14(1), pages 51-85, January.

    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. 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.
    2. Adrian C. Darnell, 1994. "A Dictionary Of Econometrics," Books, Edward Elgar Publishing, number 118.
    3. Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, University Library of Munich, Germany.
    4. Stephen Leybourne & Paul Newbold, 2003. "Spurious rejections by cointegration tests induced by structural breaks," Applied Economics, Taylor & Francis Journals, vol. 35(9), pages 1117-1121.
    5. Mizon, Grayham E., 1995. "A simple message for autocorrelation correctors: Don't," Journal of Econometrics, Elsevier, vol. 69(1), pages 267-288, September.
    6. Hjelm, Göran & Johansson, Martin W, 2002. "A Monte Carlo Study on the Pitfalls in Determining Deterministic Components in Cointegrating Models," Working Papers 2002:3, Lund University, Department of Economics.
    7. Neil R. Ericsson, 2021. "Dynamic Econometrics in Action: A Biography of David F. Hendry," International Finance Discussion Papers 1311, Board of Governors of the Federal Reserve System (U.S.).
    8. 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.
    9. Derek Bond & Michael J. Harrison & Edward J. O'Brien, 2005. "Testing for Long Memory and Nonlinear Time Series: A Demand for Money Study," Trinity Economics Papers tep20021, Trinity College Dublin, Department of Economics.
    10. Caner Demir, 2019. "Macroeconomic Determinants of Stock Market Fluctuations: The Case of BIST-100," Economies, MDPI, vol. 7(1), pages 1-14, February.
    11. 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.
    12. Pär Österholm, 2005. "The Taylor Rule: A Spurious Regression?," Bulletin of Economic Research, Wiley Blackwell, vol. 57(3), pages 217-247, July.
    13. Perles-Ribes, José Francisco & Ramón-Rodríguez, Ana Belén & Rubia, Antonio & Moreno-Izquierdo, Luis, 2017. "Is the tourism-led growth hypothesis valid after the global economic and financial crisis? The case of Spain 1957–2014," Tourism Management, Elsevier, vol. 61(C), pages 96-109.
    14. 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.
    15. Murthy, N. R. Vasudeva & Phillips, Joseph M., 1996. "The relationship between budget deficits and capital inflows: Further econometric evidence," The Quarterly Review of Economics and Finance, Elsevier, vol. 36(4), pages 485-494.
    16. Voronkova, Svitlana, 2004. "Equity market integration in Central European emerging markets: A cointegration analysis with shifting regimes," International Review of Financial Analysis, Elsevier, vol. 13(5), pages 633-647.
    17. 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.
    18. Utku Utkulu & Durmus Özdemir, 2005. "Does Trade Liberalization Cause a Long Run Economic Growth in Turkey," Economic Change and Restructuring, Springer, vol. 37(3), pages 245-266, September.
    19. Yarovaya, Larisa & Lau, Marco Chi Keung, 2016. "Stock market comovements around the Global Financial Crisis: Evidence from the UK, BRICS and MIST markets," Research in International Business and Finance, Elsevier, vol. 37(C), pages 605-619.
    20. Kemme, David M. & Roy, Saktinil, 2006. "Real exchange rate misalignment: Prelude to crisis?," Economic Systems, Elsevier, vol. 30(3), pages 207-230, October.

    More about this item

    Keywords

    Bartlett correction; cointegration testing; Monte Carlo simulation;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

    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:hhs:hastef:0134. 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: Helena Lundin (email available below). General contact details of provider: https://edirc.repec.org/data/erhhsse.html .

    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.