IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-04c40001.html
   My bibliography  Save this article

On the finite-sample power of modified Dickey-Fuller tests: The role of the initial condition

Author

Listed:
  • Steven Cook

    (University of Wales Swansea)

Abstract

The relationship between the initial condition of time series data and the power of the Dickey-Fuller (1979) test and a number of modified Dickey-Fuller tests is examined. The results obtained extend the asymptotic analysis of Muller and Elliott (2003) by both focussing upon finite-sample power and examining previously unconsidered modified tests. It is shown that deviation of the initial condition from the underlying deterministic component of a time series increases the finite-sample power of the original Dickey-Fuller test, but removes the potential gains in power resulting from the use of modified tests. Interestingly, some variation in the properties of modified tests is noted. In addition to allowing evaluation of previous Monte Carlo studies of the finite-sample power of unit root tests, the results presented allow practitioners to select, and interpret the results of, alternative unit root tests in light of the initial condition of the data examined.

Suggested Citation

  • Steven Cook, 2004. "On the finite-sample power of modified Dickey-Fuller tests: The role of the initial condition," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-04c40001
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2004/Volume3/EB-04C40001A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dong Wan Shin & Beong Soo So, 2001. "recursive Mean Adjustment for Unit Root Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(5), pages 595-612, September.
    2. Leybourne, S J, 1995. "Testing for Unit Roots Using Forward and Reverse Dickey-Fuller Regressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(4), pages 559-571, November.
    3. Pantula, Sastry G & Gonzalez-Farias, Graciela & Fuller, Wayne A, 1994. "A Comparison of Unit-Root Test Criteria," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 449-459, October.
    4. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, July.
    5. Heon Jin Park & Wayne A. Fuller, 1995. "Alternative Estimators And Unit Root Tests For The Autoregressive Process," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(4), pages 415-429, July.
    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. Steven Cook, 2005. "Estimating the autoregressive parameter: recursive mean adjustment and the initial condition," Applied Economics Letters, Taylor & Francis Journals, vol. 12(4), pages 203-206.
    2. Peter E. Kennedy & John Elder, 2004. "More on F versus t tests for unit roots when there is no trend," Economics Bulletin, AccessEcon, vol. 3(37), pages 1-6.
    3. repec:ebl:ecbull:v:3:y:2004:i:37:p:1-6 is not listed 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. Steven Cook, 2005. "Estimating the autoregressive parameter: recursive mean adjustment and the initial condition," Applied Economics Letters, Taylor & Francis Journals, vol. 12(4), pages 203-206.
    2. Cook, Steven, 2008. "Joint maximum likelihood estimation of unit root testing equations and GARCH processes: Some finite-sample issues," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 109-116.
    3. repec:ebl:ecbull:v:3:y:2004:i:11:p:1-9 is not listed on IDEAS
    4. Steven Cook, 2006. "The robustness of modified unit root tests in the presence of GARCH," Quantitative Finance, Taylor & Francis Journals, vol. 6(4), pages 359-363.
    5. Cook, Steven, 2003. "Modified unit root tests and momentum threshold autoregressive processes," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 83-88, August.
    6. Christoph Hanck, 2012. "Multiple unit root tests under uncertainty over the initial condition: some powerful modifications," Statistical Papers, Springer, vol. 53(3), pages 767-774, August.
    7. Tilak Abeysinghe & Gulasekaran Rajaguru, 2009. "A Gaussian Test for Cointegration," Microeconomics Working Papers 22013, East Asian Bureau of Economic Research.
    8. Steven Cook, 2003. "The nonstationarity of the consumption-income ratio: Evidence from more powerful Dickey-Fuller tests," Applied Economics Letters, Taylor & Francis Journals, vol. 10(7), pages 393-395.
    9. Stephen Leybourne & Tae‐Hwan Kim & Paul Newbold, 2005. "Examination of Some More Powerful Modifications of the Dickey–Fuller Test," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(3), pages 355-369, May.
    10. Sanchez, Ismael, 1998. "Testing for Unit Roots with Prediction Errors," University of California at San Diego, Economics Working Paper Series qt8pc6n1j8, Department of Economics, UC San Diego.
    11. Skrobotov, Anton (Скроботов, Антон) & Turuntseva, Marina (Турунцева, Марина), 2017. "Testing the Hypothesis of a Unit Root for Independent Panels [Тестирование Гипотезы О Наличии Единичного Корня Для Независимых Панелей]," Working Papers 021707, Russian Presidential Academy of National Economy and Public Administration.
    12. Cook, Steven, 2004. "A momentum-threshold autoregressive unit root test with increased power," Statistics & Probability Letters, Elsevier, vol. 67(4), pages 307-310, May.
    13. Müller, Ulrich K. & Wang, Yulong, 2019. "Nearly weighted risk minimal unbiased estimation," Journal of Econometrics, Elsevier, vol. 209(1), pages 18-34.
    14. repec:ebl:ecbull:v:3:y:2004:i:24:p:1-11 is not listed on IDEAS
    15. Raslan Alzubi & Mustafa Caglayan & Kostas Mouratidis, 2017. "The Risk-Taking Channel in the US: A GVAR Approach," Working Papers 2017009, The University of Sheffield, Department of Economics.
    16. Lai, Kon S., 2004. "On structural shifts and stationarity of the ex ante real interest rate," International Review of Economics & Finance, Elsevier, vol. 13(2), pages 217-228.
    17. K. Patterson & Saeed Heravi, 2003. "Weighted symmetric tests for a unit root: response functions, power, test dependence and test conflict," Applied Economics, Taylor & Francis Journals, vol. 35(7), pages 779-790.
    18. Cheung, Yin-Wong & Lai, Kon S., 1998. "Parity reversion in real exchange rates during the post-Bretton Woods period," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 597-614, August.
    19. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    20. Ong, Sheue Li & Sato, Kiyotaka, 2018. "Regional or global shock? A global VAR analysis of Asian economic and financial integration," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 232-248.
    21. Reinsel, Gregory C. & Cheang, Wai-Kwong, 2003. "Approximate ML and REML estimation for regression models with spatial or time series AR(1) noise," Statistics & Probability Letters, Elsevier, vol. 62(2), pages 123-135, April.
    22. Filippo di Mauro & L. Vanessa Smith & Stephane Dees & M. Hashem Pesaran, 2007. "Exploring the international linkages of the euro area: a global VAR analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(1), pages 1-38.

    More about this item

    Keywords

    Forward and reverse regressions;

    JEL classification:

    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

    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-04c40001. 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.