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Behaviour of Dickey-Fuller Unit Root Tests Under Trend Misspecification

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  • 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.

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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 0311008.

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Date of creation: 17 Nov 2003
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Handle: RePEc:wpa:wuwpem:0311008

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  1. 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.
  2. Ayat, L. & Burridge, P., 1996. "Unit Root Tests in the presence of Uncertainty about the Non-Stochastic Trends," Discussion Papers 96-28, Department of Economics, University of Birmingham.
  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 449-59, October.
  5. Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc.
  6. 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.
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Cited by:
  1. Manuel Gomez & Daniel Ventosa-Santaularia, 2007. "Inflation and breaks: the validity of the Dickey-Fuller test," Department of Economics and Finance Working Papers EM200601, Universidad de Guanajuato, Department of Economics and Finance.
  2. Wolters, Jürgen & Hassler, Uwe, 2005. "Unit root testing," Discussion Papers 2005/23, Free University Berlin, School of Business & Economics.
  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. Shahbaz, Muhammad & Islam, Faridul, 2011. "Financial development and income inequality in Pakistan: An application of ARDL approach," MPRA Paper 28222, University Library of Munich, Germany.

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