Testing weak cross-sectional dependence in large panels

Arbeitspapier

This paper considers testing the hypothesis that errors in a panel data model are weakly cross sectionally dependent, using the exponent of cross-sectional dependence α, 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. When T = O (N^ϵ ), for some 0 < ϵ ≤ 1, then the implicit null of the CD test is given by 0 ≤ α < (2 - ϵ )/4, which gives 0 ≤ α < 1/4, when N and T tend to infinity at the same rate such that T/N → к, with к ; with being a finite positive constant. 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 α 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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: IZA Discussion Papers ; No. 6432

Classification and Topics

• Classification: Wirtschaft ; Hypothesis Testing: General ; Estimation: General ; Multiple or Simultaneous Equation Models: Panel Data Models; Spatio-temporal Models
• Subject: exponent of cross-sectional dependence ; diagnostic tests ; panel data models ; dynamic heterogenous panels ; Panel ; Statistischer Fehler ; Statistischer Test ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Pesaran, Hashem
• Event: Veröffentlichung
• (who): Institute for the Study of Labor (IZA)
• (where): Bonn
• (when): 2012

Further information

• Handle: http://hdl.handle.net/10419/58787
• URN: urn:nbn:de:101:1-201207125658
• Last update: 10.03.2025, 11:43 AM CET