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Testing for sphericity in a fixed effects panel data model


  • Badi H. Baltagi
  • Qu Feng
  • Chihwa Kao


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.
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  • 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(1), pages 25-47, February.
  • Handle: RePEc:ect:emjrnl:v:14:y:2011:i:1:p:25-47

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    Cited by:

    1. Badi Baltagi & Chihwa Kao & Fa wang, 2016. "Asymptotic Power of the Sphericity Test Under Weak and Strong Factors in a Fixed Effects Panel Data Model," Center for Policy Research Working Papers 189, Center for Policy Research, Maxwell School, Syracuse University.
    2. 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.
    3. 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.
    4. Badi H. Baltagi & Chihwa Kao & Bin Peng, 2016. "Testing Cross-Sectional Correlation in Large Panel Data Models with Serial Correlation," Econometrics, MDPI, Open Access Journal, vol. 4(4), pages 1-24, November.
    5. 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.
    6. 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.
    7. Alexander Chudik & M. Hashem Pesaran, 2013. "Large Panel Data Models with Cross-Sectional Dependence: A Survey," CESifo Working Paper Series 4371, CESifo Group Munich.
    8. 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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