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Robust tests for heteroskedasticity in the one-way error components model

Author

Listed:
  • Gabriel Montes-Rojas

    (Department of Economics - UCL - University College of London [London])

  • Walter Sosa-Escudero

    (Department of Economics - UMSA - Universidad Mayor de San Andrés)

Abstract

This paper constructs tests for heteroskedasticity in one-way error components models, in line with Baltagi, Bresson and Pirotte (Journal of Econometrics, 134, 2006). Our tests have two additional robustness properties. First, standard tests for heteroskedasticity in the individual component are shown to be negatively affected by heteroskedasticity in the remainder component. We derive modified tests that are insensitive to heteroskedasticity in the component not being checked, and hence help identify the source of heteroskedasticity. Second, Gaussian based LM tests are shown to reject too often in the presence of heavy-tailed (e.g. t-Student) distributions. By using a conditional moments framework, we derive distribution-free tests that are robust to non-normalities. Our tests are computationally convenient since they are based on simple artificial regressions after pooled OLS estimation.

Suggested Citation

  • Gabriel Montes-Rojas & Walter Sosa-Escudero, 2010. "Robust tests for heteroskedasticity in the one-way error components model," Post-Print hal-00768191, HAL.
    • Handle: RePEc:hal:journl:hal-00768191
    DOI: 10.1016/j.jeconom.2010.09.010
    Note: View the original document on HAL open archive server: https://hal.science/hal-00768191
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    1. Wooldridge, Jeffrey M., 1991. "On the application of robust, regression- based diagnostics to models of conditional means and conditional variances," Journal of Econometrics, Elsevier, vol. 47(1), pages 5-46, January.
    2. Baltagi, Badi H. & Jung, Byoung Cheol & Song, Seuck Heun, 2010. "Testing for heteroskedasticity and serial correlation in a random effects panel data model," Journal of Econometrics, Elsevier, vol. 154(2), pages 122-124, February.
    3. Baltagi, Badi H. & Bresson, Georges & Pirotte, Alain, 2006. "Joint LM test for homoskedasticity in a one-way error component model," Journal of Econometrics, Elsevier, vol. 134(2), pages 401-417, October.
    4. Koenker, Roger, 2004. "Quantile regression for longitudinal data," Journal of Multivariate Analysis, Elsevier, vol. 91(1), pages 74-89, October.
    5. Walter Sosa Escudero & Anil K. Bera, 2008. "Tests for Unbalanced Error Component Models Under Local Misspecication," CEDLAS, Working Papers 0065, CEDLAS, Universidad Nacional de La Plata.
    6. Walter Sosa-Escudero & Anil K. Bera, 2008. "Tests for unbalanced error-components models under local misspecification," Stata Journal, StataCorp LP, vol. 8(1), pages 68-78, February.
    7. Dastoor, Naorayex K., 1997. "Testing for conditional heteroskedasticity with misspecified alternative hypotheses," Journal of Econometrics, Elsevier, vol. 82(1), pages 63-80.
    8. Davidson, Russell & MacKinnon, James G, 1987. "Implicit Alternatives and the Local Power of Test Statistics," Econometrica, Econometric Society, vol. 55(6), pages 1305-1329, November.
    9. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
    10. Savin, N.E., 1984. "Multiple hypothesis testing," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 14, pages 827-879, Elsevier.
    11. Robert F. Phillips, 2003. "Estimation of a Stratified Error-Components Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 501-521, May.
    12. Bera, Anil K. & Yoon, Mann J., 1993. "Specification Testing with Locally Misspecified Alternatives," Econometric Theory, Cambridge University Press, vol. 9(4), pages 649-658, August.
    13. Adelchi Azzalini & Antonella Capitanio, 2003. "Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 367-389, May.
    14. Evans, Merran, 1992. "Robustness of size of tests of autocorrelation and heteroscedasticity to nonnormality," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 7-24.
    15. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    16. Bera, Anil K. & Jarque, Carlos M., 1982. "Model specification tests : A simultaneous approach," Journal of Econometrics, Elsevier, vol. 20(1), pages 59-82, October.
    17. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January.
    18. Saikkonen, Pentti, 1989. "Asymptotic relative efficiency of the classical test statistics under misspecification," Journal of Econometrics, Elsevier, vol. 42(3), pages 351-369, November.
    19. Wooldridge, Jeffrey M., 1990. "A Unified Approach to Robust, Regression-Based Specification Tests," Econometric Theory, Cambridge University Press, vol. 6(1), pages 17-43, March.
    20. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-1070, September.
    21. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
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    Cited by:

    1. Packalen, Mikko & Wirjanto, Tony S., 2012. "Inference about clustering and parametric assumptions in covariance matrix estimation," Computational Statistics & Data Analysis, Elsevier, vol. 56(1), pages 1-14, January.
    2. Richard Kouamé Moussa, 2019. "Heteroskedasticity in One-Way Error Component Probit Models," Econometrics, MDPI, vol. 7(3), pages 1-22, August.
    3. Juhl, Ted & Sosa-Escudero, Walter, 2014. "Testing for heteroskedasticity in fixed effects models," Journal of Econometrics, Elsevier, vol. 178(P3), pages 484-494.
    4. Javier Alejo & Antonio Galvao & Gabriel Montes-Rojas & Walter Sosa-Escudero, 2015. "Tests for normality in linear panel-data models," Stata Journal, StataCorp LP, vol. 15(3), pages 822-832, September.
    5. Galvao, Antonio F. & Montes-Rojas, Gabriel & Sosa-Escudero, Walter & Wang, Liang, 2013. "Tests for skewness and kurtosis in the one-way error component model," Journal of Multivariate Analysis, Elsevier, vol. 122(C), pages 35-52.
    6. Andreas Rathgeber & David Rudolph & Stefan Stöckl, 2015. "Pricing anomaly at the first sight: same borrower in different currencies faces different credit spreads—an explanation by means of a quanto option," Review of Derivatives Research, Springer, vol. 18(2), pages 107-143, July.
    7. Lili Yue & Jianhong Shi & Jingxuan Luo & Jinguan Lin, 2023. "A Parametric Bootstrap Approach for a One-Way Error Component Regression Model with Measurement Errors," Mathematics, MDPI, vol. 11(19), pages 1-13, October.
    8. Alejo, Javier & Montes-Rojas, Gabriel & Sosa-Escudero, Walter, 2018. "Testing for serial correlation in hierarchical linear models," Journal of Multivariate Analysis, Elsevier, vol. 165(C), pages 101-116.
    9. Wu, Jianhong & Li, Guodong, 2014. "Moment-based tests for individual and time effects in panel data models," Journal of Econometrics, Elsevier, vol. 178(P3), pages 569-581.

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    More about this item

    Keywords

    C12; C23; Error components; Heteroskedasticity; Testing;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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