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Local asymptotic power of the Im-Pesaran-Shin panel unit root test and the impact of initial observations

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  • David Harris
  • David I. Harvey
  • Stephen J. Leybourne
  • Nikoloas D. Sakkas

Abstract

In this note we derive the local asymptotic power function of the standardized averaged Dickey-Fuller panel unit root statistic of Im, Pesaran and Shin (2003, Journal of Econometrics, 115, 53-74), allowing for heterogeneous deterministic intercept terms. We consider the situation where the deviation of the initial observation from the underlying intercept term in each individual time series may not be asymptotically negligible. We find that power decreases monotonically as the absolute values of the initial conditions increase in magnitude, in direct contrast to the univariate case. Finite sample simulations confirm the relevance of this result for practical applications, demonstrating that the power of the test can be very low for values of T and N typically encountered in practice.

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Bibliographic Info

Paper provided by University of Nottingham, Granger Centre for Time Series Econometrics in its series Discussion Papers with number 08/02.

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Date of creation: Mar 2008
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Handle: RePEc:not:notgts:08/02

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  1. Pasaran, M.H. & Im, K.S. & Shin, Y., 1995. "Testing for Unit Roots in Heterogeneous Panels," Cambridge Working Papers in Economics 9526, Faculty of Economics, University of Cambridge.
  2. Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-79, May.
  3. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, 07.
  4. David I. Harvey & Stephen J. Leybourne, 2005. "On testing for unit roots and the initial observation," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 97-111, 03.
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Cited by:
  1. Pesaran, M. Hashem & Vanessa Smith, L. & Yamagata, Takashi, 2013. "Panel unit root tests in the presence of a multifactor error structure," Journal of Econometrics, Elsevier, vol. 175(2), pages 94-115.
  2. Karavias, Yiannis & Tzavalis, Elias, 2013. "The Power Performance of Fixed-T Panel Unit Root Tests allowing for Structural Breaks," MPRA Paper 46012, University Library of Munich, Germany.
  3. Joakim Westerlund, . "Pooled Panel Unit Root Tests and the Effect of Past Initialization," Financial Econometics Series 2014_06, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
  4. Joakim Westerlund & Mehdi Hosseinkouchack & Martin Solberger, . "The Local Power of the CADF and CIPS Panel Unit Root Tests," Financial Econometics Series 2014_05, Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance.
  5. Joakim Westerlund & J�rg Breitung, 2013. "Lessons from a Decade of IPS and LLC," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 547-591, August.
  6. Westerlund, Joakim & Larsson, Rolf, 2012. "Testing for a unit root in a random coefficient panel data model," Journal of Econometrics, Elsevier, vol. 167(1), pages 254-273.
  7. Becheri, I.G. & Drost, F.C. & Akker, R. van den, 2013. "Asymptotically UMP Panel Unit Root Tests," Discussion Paper 2013-017, Tilburg University, Center for Economic Research.
  8. Yiannis Karavias & Elias Tzavalis, . "The local power of fixed-T panel unit root tests allowing for serially correlated errors," Discussion Papers 12/01, University of Nottingham, Granger Centre for Time Series Econometrics.

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