IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-01c10002.html
   My bibliography  Save this article

Asymmetric unit root tests in the presence of structural breaks under the null

Author

Listed:
  • Steven Cook

    (University of Wales Swansea)

Abstract

Using Monte Carlo methods, the behaviour of the momentum threshold autoregressive (MTAR) unit root test of Enders and Granger (1998) is examined in the presence of structural breaks under the null. It is found that for level breaks the MTAR test exhibits similar behaviour to that derived by Leybourne et al. (1998) for the Dickey-Fuller (1979) test, with size distortion apparent for early breaks only. In contrast, the results for breaks in drift show the MTAR test to experience severe size distortion when breaks occur both early and late in the sample period. The divergence in results for the MTAR and DF tests is further examined, showing that in the presence of late breaks the MTAR test can lead a practitioner to draw false inferences of both stationarity and asymmetry.

Suggested Citation

  • Steven Cook, 2001. "Asymmetric unit root tests in the presence of structural breaks under the null," Economics Bulletin, AccessEcon, vol. 3(6), pages 1-10.
    • Handle: RePEc:ebl:ecbull:eb-01c10002
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2001/Volume3/EB-01C10002A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Davidson, Russell & MacKinnon, James G, 1998. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," The Manchester School of Economic & Social Studies, University of Manchester, vol. 66(1), pages 1-26, January.
    2. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    3. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    4. Walter Enders, 2001. "Improved critical values for the Enders-Granger unit-root test," Applied Economics Letters, Taylor & Francis Journals, vol. 8(4), pages 257-261.
    5. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-287, July.
    6. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    7. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    8. Enders, Walter & Granger, Clive W J, 1998. "Unit-Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 304-311, July.
    9. Jushan Bai & Robin L. Lumsdaine & James H. Stock, 1998. "Testing For and Dating Common Breaks in Multivariate Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 395-432.
    10. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    Full references (including those not matched with items on IDEAS)

    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. Charles Nelson & Jeremy Piger & Eric Zivot, 1999. "Unit Root Tests in the Presence of Markov Regime-Switching," Discussion Papers in Economics at the University of Washington 0040, Department of Economics at the University of Washington.
    2. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911.
    3. Cook, Steven, 2002. "Correcting size distortion of the Dickey-Fuller test via recursive mean adjustment," Statistics & Probability Letters, Elsevier, vol. 60(1), pages 75-79, November.
    4. repec:ebl:ecbull:v:3:y:2004:i:24:p:1-11 is not listed on IDEAS
    5. Atiq-ur-Rehman, 2011. "Impact of Model Specification Decisions on Unit Root Tests," International Econometric Review (IER), Econometric Research Association, vol. 3(2), pages 22-33, September.
    6. Joseph V. Balagtas & Matthew T. Holt, 2009. "The Commodity Terms of Trade, Unit Roots, and Nonlinear Alternatives: A Smooth Transition Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 91(1), pages 87-105.
    7. Chou, W. L., 2000. "Exchange Rate Variability and China's Exports," Journal of Comparative Economics, Elsevier, vol. 28(1), pages 61-79, March.
    8. Olivier Darné & Claude Diebolt, 2006. "Chocs temporaires et permanents dans le PIB de la France, du Royaume-Uni et des États-Unis," Revue d'économie politique, Dalloz, vol. 116(1), pages 65-78.
    9. Martin B. Schmidt, 2021. "On the evolution of athlete anthropometric measurements: racial integration, expansion, and steroids," Empirical Economics, Springer, vol. 61(6), pages 3419-3443, December.
    10. Costantini, Mauro & Sen, Amit, 2016. "A simple testing procedure for unit root and model specification," Computational Statistics & Data Analysis, Elsevier, vol. 102(C), pages 37-54.
    11. Jürgen Wolters & Uwe Hassler, 2006. "Unit Root Testing," Springer Books, in: Olaf Hübler & Jachim Frohn (ed.), Modern Econometric Analysis, chapter 4, pages 41-56, Springer.
    12. Aparicio, Felipe M. & Escribano, Álvaro & García, Ana, 2003. "Range unit root tests," DES - Working Papers. Statistics and Econometrics. WS ws031126, Universidad Carlos III de Madrid. Departamento de Estadística.
    13. Francisco de Castro & José M. González-Páramo & Pablo Hernández de Cos, 2001. "Evaluating the dynamics of fiscal policy in Spain: patterns of interdependence and consistency of public expenditure and revenues," Working Papers 0103, Banco de España.
    14. Nelson, Charles R & Piger, Jeremy & Zivot, Eric, 2001. "Markov Regime Switching and Unit-Root Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 404-415, October.
    15. Lee, Jim, 1996. "Testing for a unit root in time series with trend breaks," Journal of Macroeconomics, Elsevier, vol. 18(3), pages 503-519.
    16. González-Val, Rafael & Marcén, Miriam, 2012. "Breaks in the breaks: An analysis of divorce rates in Europe," International Review of Law and Economics, Elsevier, vol. 32(2), pages 242-255.
    17. Kul B. Luintel, 2000. "Real exchange rate behaviour: evidence from black markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(2), pages 161-185.
    18. Steven Cook, 2005. "Rank-based unit root testing in the presence of structural change under the null: simulation results and an application to US inflation," Applied Economics, Taylor & Francis Journals, vol. 37(6), pages 607-617.
    19. Francisco De Castro & Pablo Hernández De Cos, 2002. "On the sustainability of the Spanish public budget performance," Hacienda Pública Española / Review of Public Economics, IEF, vol. 160(1), pages 9-28, march.
    20. Montanes, Antonio & Olloqui, Irene & Calvo, Elena, 2005. "Selection of the break in the Perron-type tests," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 41-64.
    21. Steven Cook, 2004. "Detecting changes in persistence in linear time series," Economics Bulletin, AccessEcon, vol. 3(24), pages 1-11.

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

    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:ebl:ecbull:eb-01c10002. 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: John P. Conley (email available below). General contact details of provider: .

    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.