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The Incidental Parameters Problem in Testing for Remaining Cross-Section Correlation

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  • Artūras Juodis
  • Simon Reese

Abstract

In this article, we consider the properties of the Pesaran CD test for cross-section correlation when applied to residuals obtained from panel data models with many estimated parameters. We show that the presence of period-specific parameters leads the CD test statistic to diverge as the time dimension of the sample grows. This result holds even if cross-section dependence is correctly accounted for and hence constitutes an example of the incidental parameters problem. The relevance of this problem is investigated for both the classical two-way fixed-effects estimator and the Common Correlated Effects estimator of Pesaran. We suggest a weighted CD test statistic which re-establishes standard normal inference under the null hypothesis. Given the widespread use of the CD test statistic to test for remaining cross-section correlation, our results have far reaching implications for empirical researchers.

Suggested Citation

  • Artūras Juodis & Simon Reese, 2022. "The Incidental Parameters Problem in Testing for Remaining Cross-Section Correlation," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(3), pages 1191-1203, June.
    • Handle: RePEc:taf:jnlbes:v:40:y:2022:i:3:p:1191-1203
    DOI: 10.1080/07350015.2021.1906687
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    21. Dierk Herzer, 2024. "The impact of domestic R&D and North–South R&D spillovers on energy intensity in developing countries," Economic Change and Restructuring, Springer, vol. 57(2), pages 1-31, April.
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