Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/hhs/gunwpe/0568.html
   My bibliography  Save this paper

Rejection Probabilities for a Battery of Unit-Root Tests

Author

Listed:
  • Maican, Florin G.

    (Department of Economics, School of Business, Economics and Law, Göteborg University)

  • Sweeney, Richard J.

    (Georgetown University, Washington, D.C.)

Abstract
If the researcher tests each model in a battery at the a % significance level, the probability that at least one test rejects is generally larger than a %. For five unit-root models, this paper uses Monte Carlo simulation and the inclusion-exclusion principle to show for a %=5% for each test, the probability that at least one test rejects is 16.2% rather than the upper-bound of 25% from the Bonferroni inequality. It also gives estimated probabilities that any combination two, three, four or five models all reject.

Suggested Citation

  • Maican, Florin G. & Sweeney, Richard J., 2013. "Rejection Probabilities for a Battery of Unit-Root Tests," Working Papers in Economics 568, University of Gothenburg, Department of Economics.
    • Handle: RePEc:hhs:gunwpe:0568
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/2077/32930
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Smeekes, Stephan & Taylor, A.M. Robert, 2012. "Bootstrap Union Tests For Unit Roots In The Presence Of Nonstationary Volatility," Econometric Theory, Cambridge University Press, vol. 28(2), pages 422-456, April.
    2. 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.
    3. Florin G. Maican & Richard J. Sweeney, 2014. "Costs of misspecification in break-model unit-root tests," Applied Economics, Taylor & Francis Journals, vol. 46(1), pages 111-118, January.
    4. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    5. 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.
    6. 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.
    7. Maican, Florin G. & Sweeney, Richard J., 2013. "Real exchange rate adjustment in European transition countries," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 907-926.
    8. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    9. Pierre Perron, 1994. "Trend, Unit Root and Structural Change in Macroeconomic Time Series," Palgrave Macmillan Books, in: B. Bhaskara Rao (ed.), Cointegration, chapter 4, pages 113-146, Palgrave Macmillan.
    10. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2009. "Unit Root Testing In Practice: Dealing With Uncertainty Over The Trend And Initial Condition," Econometric Theory, Cambridge University Press, vol. 25(3), pages 587-636, June.
    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. Shyh-Wei Chen, 2008. "Are 19 Developed Countries' Real Per Capita GDP levels Non-stationary? A Revisit," Economics Bulletin, AccessEcon, vol. 3(2), pages 1-11.
    2. Florin G. Maican & Richard J. Sweeney, 2014. "Costs of misspecification in break-model unit-root tests," Applied Economics, Taylor & Francis Journals, vol. 46(1), pages 111-118, January.
    3. 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.
    4. Pahlavani, Mosayeb & Valadkhani, Abbas & Worthington, Andrew, 2005. "Testing for Structural Breaks in Australia's Monetary Aggregates and Interest Rates: An Application of the Innovational Outlier and Additive Outlier Models," Economics Working Papers wp05-02, School of Economics, University of Wollongong, NSW, Australia.
    5. Marashdeh, Hazem & Wilson, E.J., 2005. "Structural Changes in the Middle East Stock Markets: The case of Israel and Arab Countries," Economics Working Papers wp05-22, School of Economics, University of Wollongong, NSW, Australia.
    6. Kumar Narayan, Paresh, 2005. "The relationship between saving and investment for Japan," Japan and the World Economy, Elsevier, vol. 17(3), pages 293-309, August.
    7. Olivier Darné & Amélie Charles, 2011. "Large shocks in U.S. macroeconomic time series: 1860-1988," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 5(1), pages 79-100, January.
    8. Nyong, M. O. & Udah, E. B., 2012. "Industrial Time Series of Nigeria, 1970-2009: Evolution and Unit Root Testing in the Presence of Multiple Endogenous Structural Breaks," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 12(1).
    9. Li, Qing & Papell, David, 1999. "Convergence of international output Time series evidence for 16 OECD countries," International Review of Economics & Finance, Elsevier, vol. 8(3), pages 267-280, September.
    10. Brittle, Shane, 2009. "Ricardian Equivalence and the Efficacy of Fiscal Policy in Australia," Economics Working Papers wp09-10, School of Economics, University of Wollongong, NSW, Australia.
    11. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    12. Charles, Amélie & Darné, Olivier, 2012. "Trends and random walks in macroeconomic time series: A reappraisal," Journal of Macroeconomics, Elsevier, vol. 34(1), pages 167-180.
    13. Paulo M. M. Rodrigues, 2013. "Recursive adjustment, unit root tests and structural breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(1), pages 62-82, January.
    14. Josep Lluis Carrion-I-Silvestre & Vicente German-Soto, 2007. "Stochastic Convergence amongst Mexican States," Regional Studies, Taylor & Francis Journals, vol. 41(4), pages 531-541.
    15. Christophe Andre & Mehmet Balcilar & Tsangyao Chang & Luis Alberiko Gil-Alana & Rangan Gupta, 2018. "Current account sustainability in G7 and BRICS: Evidence from a long-memory model with structural breaks," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 27(6), pages 638-654, August.
    16. repec:ebl:ecbull:v:3:y:2008:i:2:p:1-11 is not listed on IDEAS
    17. Antonio Montanes & Lorena Olmos & Marcelo Reyes, 2015. "Convergence in Spanish provinces," ERSA conference papers ersa15p1188, European Regional Science Association.
    18. Lee, Chien-Chiang & Chang, Chun-Ping, 2008. "Unemployment hysteresis in OECD countries: Centurial time series evidence with structural breaks," Economic Modelling, Elsevier, vol. 25(2), pages 312-325, March.
    19. Pedersen, Torben Mark & Elmer, Anne Marie, 2003. "International evidence on the connection between business cycles and economic growth," Journal of Macroeconomics, Elsevier, vol. 25(2), pages 255-275, June.
    20. Giorgio Canarella & Stephen M. Miller & Stephen K. Pollard, 2010. "Unit Roots and Structural Change: An Application to US House-Price Indices," Working papers 2010-04, University of Connecticut, Department of Economics, revised Dec 2010.
    21. Zied Ftiti & Aviral Tiwari & Ibrahim Fatnassi, 2014. "Oil price and macroeconomy in India – An evolutionary cospectral coherence approach," Working Papers 2014-68, Department of Research, Ipag Business School.

    More about this item

    Keywords

    Real Exchange Rates; Unit root; Monte Carlo; Break models;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • F31 - International Economics - - International Finance - - - Foreign Exchange

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:gunwpe:0568. 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: Jessica Oscarsson (email available below). General contact details of provider: https://edirc.repec.org/data/naiguse.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.