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Testing for sphericity in a fixed effects panel data model
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Testing for sphericity in a fixed effects panel data model

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  • Badi H. Baltagi
  • Qu Feng
  • Chihwa Kao

Abstract

This paper proposes a test for the null of sphericity in a fixed effects panel data model. It uses the Random Matrix Theory based approach of Ledoit and Wolf to test for the null of sphericity of the error terms in a fixed effects panel model with a large number of cross‐sectional units and time series observations. Because the errors are unobservable, the residuals from the fixed effects regression are used. The limiting distribution of the proposed test statistic is derived. In addition, its finite sample properties are examined using Monte Carlo simulations.

Suggested Citation

  • Badi H. Baltagi & Qu Feng & Chihwa Kao, 2011. "Testing for sphericity in a fixed effects panel data model," Econometrics Journal, Royal Economic Society, vol. 14, pages 25-47, February.
    • Handle: RePEc:wly:emjrnl:v:14:y:2011:i::p:25-47
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    File URL: http://hdl.handle.net/10.1111/ectj.2011.14.issue-1
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    1. Badi H. Baltagi & Chihwa Kao & Fa Wang, 2017. "Asymptotic power of the sphericity test under weak and strong factors in a fixed effects panel data model," Econometric Reviews, Taylor & Francis Journals, vol. 36(6-9), pages 853-882, October.
    2. Peng, Bin & Shen, Xinyuan & Ye, Jinqi, 2019. "Testing for sphericity in a fixed effects panel data model with time-varying variances," Economics Letters, Elsevier, vol. 181(C), pages 85-89.
    3. Baltagi, Badi H. & Kao, Chihwa & Peng, Bin, 2015. "On testing for sphericity with non-normality in a fixed effects panel data model," Statistics & Probability Letters, Elsevier, vol. 98(C), pages 123-130.
    4. Baltagi, Badi H. & Feng, Qu & Kao, Chihwa, 2012. "A Lagrange Multiplier test for cross-sectional dependence in a fixed effects panel data model," Journal of Econometrics, Elsevier, vol. 170(1), pages 164-177.
    5. Badi H. Baltagi & Chihwa Kao & Bin Peng, 2016. "Testing Cross-Sectional Correlation in Large Panel Data Models with Serial Correlation," Econometrics, MDPI, vol. 4(4), pages 1-24, November.
    6. M. Hashem Pesaran, 2015. "Testing Weak Cross-Sectional Dependence in Large Panels," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 1089-1117, December.
    7. Melina Dritsaki & Chaido Dritsaki, 2023. "R&D Expenditures on Innovation: A Panel Cointegration Study of the E.U. Countries," Sustainability, MDPI, vol. 15(8), pages 1-35, April.
    8. Zhang, Xiaoxu & Zhao, Ping & Feng, Long, 2022. "Robust sphericity test in the panel data model," Statistics & Probability Letters, Elsevier, vol. 182(C).
    9. Baltagi, Badi H. & Feng, Qu & Kao, Chihwa, 2016. "Estimation of heterogeneous panels with structural breaks," Journal of Econometrics, Elsevier, vol. 191(1), pages 176-195.
    10. Giuseppe Arbia, 2011. "A Lustrum of SEA: Recent Research Trends Following the Creation of the Spatial Econometrics Association (2007--2011)," Spatial Economic Analysis, Taylor & Francis Journals, vol. 6(4), pages 377-395, July.
    11. Alexander Chudik & M. Hashem Pesaran, 2013. "Large Panel Data Models with Cross-Sectional Dependence: A Survey," CESifo Working Paper Series 4371, CESifo.
    12. Melina Dritsaki & Chaido Dritsaki, 2024. "The Relationship Between Health Expenditure, CO2 Emissions, and Economic Growth in G7: Evidence from Heterogeneous Panel Data," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 15(1), pages 4886-4911, March.
    13. Zhaoyuan Li & Jianfeng Yao, 2021. "Extension of the Lagrange multiplier test for error cross-section independence to large panels with non normal errors," Papers 2103.06075, arXiv.org.
    14. Mao, Guangyu, 2014. "A note on tests of sphericity and cross-sectional dependence for fixed effects panel model," Economics Letters, Elsevier, vol. 122(2), pages 215-219.

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