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Inference on factor structures in heterogeneous panels

Castagnetti, Carolina; Rossi, Eduardo; Trapani, Lorenzo


Carolina Castagnetti

Eduardo Rossi


This paper develops an estimation and testing framework for a stationary large panel model with observable regressors and unobservable common factors. We allow for slope heterogeneity and for correlation between the common factors and the regressors. We propose a two stage estimation procedure for the unobservable common factors and their loadings, based on Common Correlated Effects estimator and the Principal Component estimator. We also develop two tests for the null of no factor structure: one for the null that loadings are cross sectionally homogeneous, and one for the null that common factors are homogeneous over time. Our tests are based on using extremes of the estimated loadings and common factors. The test statistics have an asymptotic Gumbel distribution under the null, and have power versus alternatives where only one loading or common factor differs from the others. Monte Carlo evidence shows that the tests have the correct size and good power.


Castagnetti, C., Rossi, E., & Trapani, L. (2015). Inference on factor structures in heterogeneous panels. Journal of Econometrics, 184(1),

Journal Article Type Article
Acceptance Date Aug 1, 2014
Online Publication Date Sep 10, 2014
Publication Date Jan 1, 2015
Deposit Date Oct 3, 2017
Publicly Available Date Oct 3, 2017
Journal Journal of Econometrics
Print ISSN 0304-4076
Electronic ISSN 0304-4076
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 184
Issue 1
Keywords Large panels; CCE estimator; Principal Component estimator; Testing for factor structure; Extreme Value distribution
Public URL
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