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Testing for Grouped Patterns in Panel Data Models

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  • Antonio Raiola
  • Nazarii Salish

Abstract

While the literature on grouped patterns in panel data analysis has received significant attention, little to no results are available on testing for their presence. We propose using existing tools for testing slope homogeneity in panels for this purpose. We highlight the key advantages and limitations of the available testing frameworks under a sequence of doubly local alternatives, where slopes are divided into dominant and remainder groups, with the size of the remainder groups and the slopes differences shrinking at a certain rate as the sample size increases. A Monte Carlo study corroborate our theoretical findings.

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  • Antonio Raiola & Nazarii Salish, 2025. "Testing for Grouped Patterns in Panel Data Models," Papers 2510.22841, arXiv.org.
    • Handle: RePEc:arx:papers:2510.22841
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    References listed on IDEAS

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    1. Liangjun Su & Zhentao Shi & Peter C. B. Phillips, 2016. "Identifying Latent Structures in Panel Data," Econometrica, Econometric Society, vol. 84, pages 2215-2264, November.
    2. Ando, Tomohiro & Bai, Jushan, 2015. "A simple new test for slope homogeneity in panel data models with interactive effects," Economics Letters, Elsevier, vol. 136(C), pages 112-117.
    3. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    4. Su, Liangjun & Chen, Qihui, 2013. "Testing Homogeneity In Panel Data Models With Interactive Fixed Effects," Econometric Theory, Cambridge University Press, vol. 29(6), pages 1079-1135, December.
    5. Hashem Pesaran, M. & Yamagata, Takashi, 2008. "Testing slope homogeneity in large panels," Journal of Econometrics, Elsevier, vol. 142(1), pages 50-93, January.
    6. Ted Juhl & Oleksandr Lugovskyy, 2014. "A Test for Slope Heterogeneity in Fixed Effects Models," Econometric Reviews, Taylor & Francis Journals, vol. 33(8), pages 906-935, November.
    7. Xun Lu & Liangjun Su, 2017. "Determining the number of groups in latent panel structures with an application to income and democracy," Quantitative Economics, Econometric Society, vol. 8(3), pages 729-760, November.
    8. Andreas Dzemski & Ryo Okui, 2024. "Confidence set for group membership," Quantitative Economics, Econometric Society, vol. 15(2), pages 245-277, May.
    9. Bester, C. Alan & Hansen, Christian B., 2016. "Grouped effects estimators in fixed effects models," Journal of Econometrics, Elsevier, vol. 190(1), pages 197-208.
    10. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-1294, September.
    11. Jörg Breitung & Christoph Roling & Nazarii Salish, 2016. "Lagrange multiplier type tests for slope homogeneity in panel data models," Econometrics Journal, Royal Economic Society, vol. 19(2), pages 166-202, June.
    12. Blomquist, Johan & Westerlund, Joakim, 2013. "Testing slope homogeneity in large panels with serial correlation," Economics Letters, Elsevier, vol. 121(3), pages 374-378.
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    Cited by:

    1. Oguzhan Akgun & Ryo Okui, 2025. "Robust Inference Methods for Latent Group Panel Models under Possible Group Non-Separation," Papers 2511.18550, arXiv.org.

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