IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2104.07723.html
   My bibliography  Save this paper

A robust specification test in linear panel data models

Author

Listed:
  • Beste Hamiye Beyaztas
  • Soutir Bandyopadhyay
  • Abhijit Mandal

Abstract

The presence of outlying observations may adversely affect statistical testing procedures that result in unstable test statistics and unreliable inferences depending on the distortion in parameter estimates. In spite of the fact that the adverse effects of outliers in panel data models, there are only a few robust testing procedures available for model specification. In this paper, a new weighted likelihood based robust specification test is proposed to determine the appropriate approach in panel data including individual-specific components. The proposed test has been shown to have the same asymptotic distribution as that of most commonly used Hausman's specification test under null hypothesis of random effects specification. The finite sample properties of the robust testing procedure are illustrated by means of Monte Carlo simulations and an economic-growth data from the member countries of the Organisation for Economic Co-operation and Development. Our records reveal that the robust specification test exhibit improved performance in terms of size and power of the test in the presence of contamination.

Suggested Citation

  • Beste Hamiye Beyaztas & Soutir Bandyopadhyay & Abhijit Mandal, 2021. "A robust specification test in linear panel data models," Papers 2104.07723, arXiv.org.
    • Handle: RePEc:arx:papers:2104.07723
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2104.07723
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Herwartz, Helmut & Neumann, Michael H., 2007. "A robust bootstrap approach to the Hausman test in stationary panel data models," Economics Working Papers 2007-29, Christian-Albrechts-University of Kiel, Department of Economics.
    2. Frondel, Manuel & Vance, Colin, 2010. "Fixed, random, or something in between? A variant of Hausman's specification test for panel data estimators," Economics Letters, Elsevier, vol. 107(3), pages 327-329, June.
    3. Metcalf, Gilbert E., 1996. "Specification testing in panel data with instrumental variables," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 291-307.
    4. Ahn, Seung C. & Low, Stuart, 1996. "A reformulation of the Hausman test for regression models with pooled cross-section-time-series data," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 309-319.
    5. Maddala, G S, 1971. "The Use of Variance Components Models in Pooling Cross Section and Time Series Data," Econometrica, Econometric Society, vol. 39(2), pages 341-358, March.
    6. C. Agostinelli, 2002. "Robust stepwise regression," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(6), pages 825-840.
    7. Agostinelli, Claudio & Markatou, Marianthi, 1998. "A one-step robust estimator for regression based on the weighted likelihood reweighting scheme," Statistics & Probability Letters, Elsevier, vol. 37(4), pages 341-350, March.
    8. Holly, Alberto, 1982. "A Remark on Hausman's Specification Test," Econometrica, Econometric Society, vol. 50(3), pages 749-759, May.
    9. Aït-Sahalia, Yacine & Xiu, Dacheng, 2019. "A Hausman test for the presence of market microstructure noise in high frequency data," Journal of Econometrics, Elsevier, vol. 211(1), pages 176-205.
    10. Maria Caterina Bramati & Christophe Croux, 2007. "Robust estimators for the fixed effects panel data model," Econometrics Journal, Royal Economic Society, vol. 10(3), pages 521-540, November.
    11. Peter Kennedy, 2003. "A Guide to Econometrics, 5th Edition," MIT Press Books, The MIT Press, edition 5, volume 1, number 026261183x, December.
    Full references (including those not matched with items on IDEAS)

    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. O'Brien, Raymond & Patacchini, Eleonora, 2003. "Testing the exogeneity assumption in panel data models with "non classical" disturbances," Discussion Paper Series In Economics And Econometrics 0302, Economics Division, School of Social Sciences, University of Southampton.
    2. O'Brien, Raymond & Patacchini, Eleonora, 2003. "Testing the exogeneity assumption in panel data models with "non classical" disturbances," Discussion Paper Series In Economics And Econometrics 302, Economics Division, School of Social Sciences, University of Southampton.
    3. Jan Ámos Víšek, 2015. "Estimating the Model with Fixed and Random Effects by a Robust Method," Methodology and Computing in Applied Probability, Springer, vol. 17(4), pages 999-1014, December.
    4. Metcalf, Gilbert E., 1996. "Specification testing in panel data with instrumental variables," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 291-307.
    5. Seung Chan Ahn & Hyungsik Roger Moon, 2001. "Large-N and Large-T Properties of Panel Data Estimators and the Hausman Test," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 A6-2, International Conferences on Panel Data.
    6. Chihwa Kao & Yongmiao Hong, 2004. "Detecting Neglected Nonlinearity in Dynamic Panel Data with Time-Varying Conditional Heteroskedasticity," Econometric Society 2004 Far Eastern Meetings 753, Econometric Society.
    7. Suman Majumder & Adhidev Biswas & Tania Roy & Subir Kumar Bhandari & Ayanendranath Basu, 2021. "Statistical inference based on a new weighted likelihood approach," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(1), pages 97-120, January.
    8. Jinsuk Yang & Qing Hao & Mahmut Yaşar, 2023. "Institutional investors and cross‐border mergers and acquisitions: The 2000–2018 period," International Review of Finance, International Review of Finance Ltd., vol. 23(3), pages 553-583, September.
    9. Styan, Jacob & Boerngen, Maria A. & Barrowclough, Michael J., 2021. "Factors Influencing Increased Usage of Cash Rent Leases in Illinois," Journal of the ASFMRA, American Society of Farm Managers and Rural Appraisers, vol. 2021.
    10. Yugang He & Chunlei Wang, 2022. "Does Buddhist Tourism Successfully Result in Local Sustainable Development?," Sustainability, MDPI, vol. 14(6), pages 1-15, March.
    11. Jason Barabas, 1998. "Wage Erosion, Economic Assessments, and Social Welfare Opinions," JCPR Working Papers 56, Northwestern University/University of Chicago Joint Center for Poverty Research.
    12. repec:kap:iaecre:v:17:y:2011:i:2:p:157-168 is not listed on IDEAS
    13. David M. Brasington & Diane Hite, 2005. "Demand for Environmental Quality: A Spatial Hedonic Approach," Departmental Working Papers 2005-08, Department of Economics, Louisiana State University.
    14. Yakubu, Ibrahim Nandom, 2022. "Exploring the Drivers of Economic Growth in Sub-Saharan Africa: The Interactive Effect of Globalization and Financial Development," MPRA Paper 115230, University Library of Munich, Germany.
    15. Berna Karali & Scott H. Irwin & Olga Isengildina‐Massa, 2020. "Supply Fundamentals and Grain Futures Price Movements," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(2), pages 548-568, March.
    16. Jonsson, Robert, 2003. "On the problem of optimal inference for time heterogeneous data with error components regression structure," Working Papers in Economics 110, University of Gothenburg, Department of Economics.
    17. Doko Tchatoka, Firmin Sabro, 2012. "Specification Tests with Weak and Invalid Instruments," MPRA Paper 40185, University Library of Munich, Germany.
    18. Carlberg, Jared G., 2002. "Effects Of Ownership Restrictions On Farmland Values In Saskatchewan," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 34(2), pages 1-10, August.
    19. Silvio R. Rendon, 2013. "Fixed and Random Effects in Classical and Bayesian Regression," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(3), pages 460-476, June.
    20. Verbeek, M.J.C.M. & Nijman, T.E., 1993. "Testing for selectivity bias in panel data models," Other publications TiSEM 45c3a75b-eb19-456f-ba92-a, Tilburg University, School of Economics and Management.
    21. Martin Biewen & Constantin Weiser, 2014. "An empirical test of marginal productivity theory," Applied Economics, Taylor & Francis Journals, vol. 46(9), pages 996-1020, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2104.07723. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.