### Abstract

It is well known that the standard Breusch and Pagan (1980) LM test for cross-equation correlation in a SUR model is not appropriate for testing cross-sectional dependence in panel data models when the number of cross-sectional units (n) is large and the number of time periods (T) is small. In fact, a scaled version of this LM test was proposed by Pesaran (2004) and its finite sample bias was corrected by Pesaran et al. (2008). This was done in the context of a heterogeneous panel data model. This paper derives the asymptotic bias of this scaled version of the LM test in the context of a fixed effects homogeneous panel data model. This asymptotic bias is found to be a constant related to n and T, which suggests a simple bias corrected LM test for the null hypothesis. Additionally, the paper carries out some Monte Carlo experiments to compare the finite sample properties of this proposed test with existing tests for cross-sectional dependence.

Original language | English (US) |
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Pages (from-to) | 164-177 |

Number of pages | 14 |

Journal | Journal of Econometrics |

Volume | 170 |

Issue number | 1 |

DOIs | |

State | Published - Sep 2012 |

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### Keywords

- Cross-sectional dependence
- Fixed effects
- High dimensional inference
- John test
- LM test
- Panel data

### ASJC Scopus subject areas

- Economics and Econometrics
- Applied Mathematics
- History and Philosophy of Science

### Cite this

*Journal of Econometrics*,

*170*(1), 164-177. https://doi.org/10.1016/j.jeconom.2012.04.004