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New Panel Unit Root Tests under Cross Section Dependence for Practitioners

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Author Info
Donggyu Sul (University of Auckland)

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Abstract

This paper studies the principle of common recursive mean adjustment and proposes a new detrending method in dynamic panel models. By utilizing recursive mean adjustment, this paper provides three unit root tests: a recursive mean adjusted (RMA) unit root test, a covariate RMA and a pooled RMA-feasible generalized least squares tests. The first two tests are designed for testing the cross sectional average of panel time series data to examine if the common factors in a panel are stationary or not. The third test is designed to test if the idiosyncratic errors are stationary or not. The proposed panel unit root test under cross section dependence is precise and powerful especially when T is larger than N

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Paper provided by EconWPA in its series Econometrics with number 0506010.

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Length: 37 pages
Date of creation: 29 Jun 2005
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Handle: RePEc:wpa:wuwpem:0506010

Note: Type of Document - pdf; pages: 37
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Related research
Keywords: recursive detrending panel unit root tests cross section dependence

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Find related papers by JEL classification:
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data

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  1. 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. [Downloadable!] (restricted)
  2. Yoosoon Chang & Joon Y. Park & Peter C.B. Phillips, 1999. "Nonlinear Econometric Models with Cointegrated and Deterministically Trending Regressors," Cowles Foundation Discussion Papers 1245, Cowles Foundation, Yale University. [Downloadable!]
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  3. Jushan Bai & Serena Ng, 2004. "A PANIC Attack on Unit Roots and Cointegration," Econometrica, Econometric Society, vol. 72(4), pages 1127-1177, 07. [Downloadable!] (restricted)
    Other versions:
  4. MOON, Hyungsik Roger & PERRON, Benoit., 2002. "Testing for a Unit Root in Panels with Dynamic Factors," Cahiers de recherche 2002-18, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  5. Quah, D., 1993. "Exploiting Cross Section Variation for Unit Root Inference in Dynamic Data," Papers 549, Stockholm - International Economic Studies.
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  6. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, 06. [Downloadable!] (restricted)
  7. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July. [Downloadable!] (restricted)
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  8. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April. [Downloadable!] (restricted)
  9. Harris, R. & Tzavalis, E., 1996. "Inference for Unit Roots in Dynamic Panels," Discussion Papers 96/04, University of Exeter, School of Business and Economics.
  10. Yoosoon Chang, 2000. "Nonlinear IV Unit Root Tests in Panels with Cross-Sectional Dependency," CIRJE F-Series CIRJE-F-85, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
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  11. Mario Forni & Marc Hallin & Marco Lippi & Lucrezia Reichlin, 2000. "The Generalized Dynamic-Factor Model: Identification And Estimation," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 540-554, November. [Downloadable!] (restricted)
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  12. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May. [Downloadable!] (restricted)
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  13. Peter C.B. Phillips, 1995. "Unit Root Tests," Cowles Foundation Discussion Papers 1104, Cowles Foundation, Yale University. [Downloadable!]
  14. Maddala, G S & Wu, Shaowen, 1999. " A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-52, Special I. [Downloadable!] (restricted)
  15. Hyungsik Roger Moon & Benoit Perron, 2005. "An Empirical Analysis of Nonstationarity in Panels of Exchange Rates and Interest Rates with Factors," IEPR Working Papers 05.35, Institute of Economic Policy Research (IEPR). [Downloadable!]
  16. Donggyu Sul & Peter C. B. Phillips & Chi-Young Choi, 2005. "Prewhitening Bias in HAC Estimation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 517-546, 08. [Downloadable!] (restricted)
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  17. Peter C.B. Phillips & Donggyu Sul, 2003. "Bias in Dynamic Panel Estimation with Fixed Effects, Incidental Trends and Cross Section Dependence," Cowles Foundation Discussion Papers 1438, Cowles Foundation, Yale University, revised Jun 2004. [Downloadable!]
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  18. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August. [Downloadable!] (restricted)
  19. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July. [Downloadable!] (restricted)
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  20. Taylor, A M Robert, 2002. "Regression-Based Unit Root Tests with Recursive Mean Adjustment for Seasonal and Nonseasonal Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 269-81, April.
  21. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January. [Downloadable!] (restricted)
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