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Time-specific disturbances and cross-sectional dependency in a small-sample heterogeneous panel data unit root test

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Author Info
Kristian Jönsson

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Abstract

In their seminal work, Im et al . (1997, 2003) suggested that time series for several cross-sectional units could be used to increase the power of the Dickey--Fuller unit root test. They argued that when cross-sectional correlation is a problem that can be modelled by a time-specific factor, demeaning across the cross-sectional units can solve the problem. In this study, this proposition is proven valid, but it is also shown that previously supplied standardizing moments are inappropriate when the number of cross-sections are small, causing size to differ from the significance level. To correct this size distortion, the current paper supplies response surface parameters that can be used to obtain moments that are valid when a time-specific factor suffices for modelling cross-sectional correlation in the heterogeneous panel data unit root framework. The correct size of the panel data unit root test comes at the cost of a somewhat lower power against a stationary alternative.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Applied Economics.

Volume (Year): 38 (2006)
Issue (Month): 11 (June)
Pages: 1309-1317
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Handle: RePEc:taf:applec:v:38:y:2006:i:11:p:1309-1317

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  1. Quah, D., 1993. "Exploiting Cross Section Variation for Unit Root Inference in Dynamic Data," Papers 549, Stockholm - International Economic Studies.
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  2. Jönsson, Kristian, 2004. "Testing for Stationarity in Panel Data Models when Disturbances are Cross-Sectionally Correlated," Working Papers 2004:17, Lund University, Department of Economics, revised 26 Nov 2004. [Downloadable!]
  3. Strauss, Jack & Yigit, Taner, 2003. "Shortfalls of panel unit root testing," Economics Letters, Elsevier, vol. 81(3), pages 309-313, December. [Downloadable!] (restricted)
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  4. Yoosoon Chang, 2000. "Bootstrap Unit Root Tests in Panels with Cross-Sectional Dependency," Cowles Foundation Discussion Papers 1251, Cowles Foundation, Yale University. [Downloadable!]
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  5. Samarjit Das & Joerg Breitung, 2004. "Panel Unit Root Tests under Cross- sectional Dependence," Econometric Society 2004 North American Summer Meetings 55, Econometric Society.
  6. Josep LluÍs Carrion-I-Silvestre & Tomás Del Barrio & Enrique López-Bazo, 2004. "Evidence on the purchasing power parity in a panel of cities," Applied Economics, Taylor and Francis Journals, vol. 36(9), pages 961-966, May. [Downloadable!] (restricted)
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  7. 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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  8. Andrew Levin & Chien-Fu Lin, 1992. "Unit Root Tests in Panel Data: Asymptotic and Finite-Sample Properties," University of California at San Diego, Economics Working Paper Series 92-23, Department of Economics, UC San Diego. [Downloadable!]
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  9. Andrew Levin & Chien-Fu Lin, 1993. "Unit Root Tests in Panel Data: New Results," University of California at San Diego, Economics Working Paper Series 93-56, Department of Economics, UC San Diego. [Downloadable!]
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