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

Arturas Juodis, Simon Reese

arXiv 8 Oct 2018 · Econometrics · publishedJournal of Business and Economic Statistics (2021) · 27 citations (OpenAlex)

arXiv:1810.03715 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper we consider the properties of the Pesaran (2004, 2015a) 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 length of 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 both for the classical Time Fixed Effects estimator as well as the Common Correlated Effects estimator of Pesaran (2006). 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.

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Pesaran, M. H (2004) General Diagnostic Tests for Cross Section Dependence in Panels1.00075100%
2Pesaran, M. H (2015) Testing Weak Cross-Sectional Dependence in Large Panels1.00054100%
3Pesaran, M. H (2006) Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure0.87452100%
4Fernández-Val, I. and M. Weidner (2016) Individual and Time Effects in Nonlinear Panel Models with Large N, T0.81142100%
5Eberhardt, M., C. Helmers, and H. Strauss (2013) Do Spillovers Matter When Estimating Private Returns to R&D?0.69381100%
Pesaranunmatched citation key Pesaran0.69371100%
7Juodis, A., H. Karabyk, and J. Westerlund (2020) On the Robustness of the Pooled CCE Estimator self0.69351100%
8Everaert, G. and L. Pozzi (2014) The Predictability of Aggregate Consumption Growth in OECD Countries: A Panel Data Analysis0.64422100%
9Neyman, J. and E. L. Scott (1948) Consistent Estimation from Partially Consistent Observations0.64422100%
Hollyunmatched citation key Holly0.51121100%

Showing the top 10 of 82 scored citations. 2 of these could not be matched to a bibliography entry, so only the citation key is shown.

Cited by, within the corpus

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1How to Detect Network Dependence in Latent Factor Models? A Bias-Corrected CD Test1.00055
2Interactive, Grouped and Non-separable Fixed Effects: A Practitioner's Guide to the New Panel Data Econometrics0.73742
3Nickell Bias in Panel Local Projection: Financial Crises Are Worse Than You Think$^$0.51122
4Threshold Regression in Heterogeneous Panel Data with Interactive Fixed Effects0.40511
5Enhanced power enhancements for testing many moment equalities: Beyond the $2$- and $$-norm0.40511