IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v181y2019icp85-89.html
   My bibliography  Save this article

Testing for sphericity in a fixed effects panel data model with time-varying variances

Author

Listed:
  • Peng, Bin
  • Shen, Xinyuan
  • Ye, Jinqi

Abstract

This paper proposes a test for the null of sphericity in a fixed effects panel data model with time-varying variances. We construct new test statistics using the within residuals from the fixed effects panel data regression model on the basis of Li and Yao’s (2018) test procedure. We show that the newly proposed test converges to a standard normal distribution as (n,T)→∞ with n∕T→c∈(0,∞). The power properties of the test are studied under both weak and strong factor model alternatives. Monte Carlo simulations are conducted to examine the finite sample performance.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ecolet:v:181:y:2019:i:c:p:85-89
    DOI: 10.1016/j.econlet.2019.05.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176519301715
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2019.05.012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    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. Alexander Chudik & M. Hashem Pesaran & Elisa Tosetti, 2011. "Weak and strong cross‐section dependence and estimation of large panels," Econometrics Journal, Royal Economic Society, vol. 14(1), pages 45-90, February.
    3. Chen, Song Xi & Zhang, Li-Xin & Zhong, Ping-Shou, 2010. "Tests for High-Dimensional Covariance Matrices," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 810-819.
    4. 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.
    5. 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.
    6. 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.
    7. Guangyu Mao, 2018. "Testing for sphericity in a two-way error components panel data model," Econometric Reviews, Taylor & Francis Journals, vol. 37(5), pages 491-506, May.
    8. Weiming Li & Jianfeng Yao, 2018. "On structure testing for component covariance matrices of a high dimensional mixture," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 80(2), pages 293-318, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yan-Yong Zhao & Ling-Ling Ge & Yuan Liu, 2025. "Estimation of panel data partially linear time-varying coefficient models with cross-sectional spatial autoregressive errors," Statistical Papers, Springer, vol. 66(1), pages 1-37, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Xiaoxu & Zhao, Ping & Feng, Long, 2022. "Robust sphericity test in the panel data model," Statistics & Probability Letters, Elsevier, vol. 182(C).
    2. 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.
    3. 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.
    4. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    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. & 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.
    7. Yang, Xinxin & Zheng, Xinghua & Chen, Jiaqi, 2021. "Testing high-dimensional covariance matrices under the elliptical distribution and beyond," Journal of Econometrics, Elsevier, vol. 221(2), pages 409-423.
    8. Alexander Chudik & M. Hashem Pesaran, 2013. "Large panel data models with cross-sectional dependence: a survey," Globalization Institute Working Papers 153, Federal Reserve Bank of Dallas.
    9. 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.
    10. 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.
    11. 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.
    12. Jiayu Lai & Xiaoyi Wang & Kaige Zhao & Shurong Zheng, 2023. "Block-diagonal test for high-dimensional covariance matrices," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(1), pages 447-466, March.
    13. Hannart, Alexis & Naveau, Philippe, 2014. "Estimating high dimensional covariance matrices: A new look at the Gaussian conjugate framework," Journal of Multivariate Analysis, Elsevier, vol. 131(C), pages 149-162.
    14. Li, Kunpeng & Lin, Wei, 2024. "Threshold spatial autoregressive model," Journal of Econometrics, Elsevier, vol. 244(1).
    15. Altin Hoti & Aranit Shkurti & Scheherazade Rehman, 2022. "Impact of External Debt on Economic Growth in Western Balkan Countries," Academic Journal of Interdisciplinary Studies, Richtmann Publishing Ltd, vol. 11, March.
    16. Fan, Jianqing & Liao, Yuan & Shi, Xiaofeng, 2015. "Risks of large portfolios," Journal of Econometrics, Elsevier, vol. 186(2), pages 367-387.
    17. Mamba, Essotanam & Ali, Essossinam, 2022. "Do agricultural exports enhance agricultural (economic) growth? Lessons from ECOWAS countries," Structural Change and Economic Dynamics, Elsevier, vol. 63(C), pages 257-267.
    18. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2011. "Cross-sectional dependence robust block bootstrap panel unit root tests," Journal of Econometrics, Elsevier, vol. 163(1), pages 85-104, July.
    19. Antonio Afonso & Jose Alves, 2015. "The Role of Government Debt in Economic Growth," Hacienda Pública Española / Review of Public Economics, IEF, vol. 215(4), pages 9-26, December.
    20. Alexander Chudik & Roland Straub, 2017. "Size, Openness, And Macroeconomic Interdependence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 33-55, February.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:181:y:2019:i:c:p:85-89. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.