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Behaviour of Dickey-Fuller Unit Root Tests Under Trend Misspecification

Author

Listed:
  • Steve Leybourne

    (Nottingham)

  • Tae-Hwan Kim

    (Nottingham)

  • Paul Newbold

    (Nottingham)

Abstract

We analyse the case where a unit root test is based on a Dickey-Fuller regression whose only deterministic term is a fixed intercept. Suppose, however, as could well be the case, that the actual data generating process includes a broken linear trend. It is shown theoretically, and verified empirically, that under the I(1) null and I(0) alternative hypotheses the Dickey-Fuller test can display a wide range of different characteristics depending on the nature and location of the break.

Suggested Citation

  • Steve Leybourne & Tae-Hwan Kim & Paul Newbold, 2003. "Behaviour of Dickey-Fuller Unit Root Tests Under Trend Misspecification," Econometrics 0311008, EconWPA.
  • Handle: RePEc:wpa:wuwpem:0311008
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/em/papers/0311/0311008.pdf
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    References listed on IDEAS

    as
    1. Ayat, Leila & Burridge, Peter, 2000. "Unit root tests in the presence of uncertainty about the non-stochastic trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 71-96, March.
    2. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    3. Vogelsang, Timothy J & Perron, Pierre, 1998. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1073-1100, November.
    4. 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.
    5. West, Kenneth D., 1987. "A note on the power of least squares tests for a unit root," Economics Letters, Elsevier, vol. 24(3), pages 249-252.
    6. Leybourne, Stephen J. & Newbold, Paul, 2000. "BEHAVIOR OF DICKEY FULLER t-TESTS WHEN THERE IS A BREAK UNDER THE ALTERNATIVE HYPOTHESIS," Econometric Theory, Cambridge University Press, vol. 16(05), pages 779-789, October.
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    Cited by:

    1. Ventosa-Santaularària, Daniel & Gómez, Manuel, 2006. "Inflation and Breaks: the validity of the Dickey-Fuller test," MPRA Paper 58773, University Library of Munich, Germany.
    2. Muhammad Shahbaz & Faridul Islam, 2011. "Financial Development And Income Inequality In Pakistan: An Application Of Ardl Approach," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 36(1), pages 35-58, March.
    3. Dagum, Estela Bee & Giannerini, Simone, 2006. "A critical investigation on detrending procedures for non-linear processes," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 175-191, March.
    4. Jürgen Wolters & Uwe Hassler, 2006. "Unit root testing," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 43-58, March.
    5. Geetilaxmi MOHAPATRA & A. K. GIRI & Madhu SEHRAWAT, 2016. "Foreign aid, macroeconomic policies and economic growth nexus in India: An ARDL bounds testing approach," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(4(609), W), pages 183-202, Winter.
    6. Choi, Yongok & Jacewitz, Stefan & Park, Joon Y., 2016. "A reexamination of stock return predictability," Journal of Econometrics, Elsevier, vol. 192(1), pages 168-189.
    7. repec:sbe:breart:v:29:y:2009:i:1:a:2693 is not listed on IDEAS
    8. Geetilaxmi MOHAPATRA & A. K. GIRI & Madhu SEHRAWAT, 2016. "Foreign aid, macroeconomic policies and economic growth nexus in India: An ARDL bounds testing approach," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(4(609), W), pages 183-202, Winter.

    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
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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