Testing Weak Cross-Sectional Dependence in Large Panels
M. Hashem Pesaran
University of Southern California; Cambridge University - Faculty of Economics; CESifo (Center for Economic Studies and Ifo Institute for Economic Research); Institute for the Study of Labor (IZA)
April 30, 2012
CESifo Working Paper Series No. 3800
This paper considers testing the hypothesis that errors in a panel data model are weakly Cross-sectionally dependent (CD), using the exponent of cross-sectional dependence introduced recently in Bailey, Kapetanios and Pesaran (2012). It is shown that the implicit null of the CD test depends on the relative expansion rates of N and T. It is argued that in the case of large N panels, the null of weak dependence is more appropriate than the null of independence which could be quite restrictive for large panels. Using Monte Carlo experiments, it is shown that the CD test has the correct size for values of the cross-sectional exponent that lie in the range [0, 1/4], for all combinations of N and T, and irrespective of whether the panel contains lagged values of the dependent variables, so long as there are no major asymmetries in the error distribution.
Number of Pages in PDF File: 24
Keywords: exponent of cross-sectional dependence, diagnostic tests, panel data models, dynamic heterogenous panels
JEL Classification: C120, C130, C330working papers series
Date posted: May 3, 2012
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