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Robust Specification Testing in Regression: The FRESET Test and Autocorrelated Disturbances

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Abstract

This study investigates the degree of size-distortion of the RESET, FRESETL and FRESETS tests, and their ability to reject falsely specified models in terms of an omitted variable, in the presence of autocorrelation. Specifically, in the presence of AR(1) and MA(1) processes, respectively. We also explore the properties of the corresponding tests when the robust error covariance matrix estimator of Newey and West (1987) is used in the construction of the tests. Our results indicated that the FRESET tests performed equally as well as, and in many cases yield higher "power" than the comparable RESET test. The dominance of the FRESET tests was even more pronounced when a Newey-West correction for autocorrelation was used as evidenced by higher rejection rates.

Suggested Citation

  • Linda F. DeBenedictis, & David E. A. Giles, 1998. "Robust Specification Testing in Regression: The FRESET Test and Autocorrelated Disturbances," Econometrics Working Papers 9806, Department of Economics, University of Victoria.
    • Handle: RePEc:vic:vicewp:9806
    Note: ISSN 1485-6441
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    File URL: https://www.uvic.ca/socialsciences/economics/_assets/docs/econometrics/wp9806.pdf
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    References listed on IDEAS

    as
    1. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    2. Mitchell, Karlyn & Onvural, Nur M, 1996. "Economies of Scale and Scope at Large Commercial Banks: Evidence from the Fourier Flexible Functional Form," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(2), pages 178-199, May.
    3. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    4. Thursby, Jerry G, 1989. "A Comparison of Several Specification Error Tests for a General Alternative," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(1), pages 217-230, February.
    5. Porter, Richard D. & Kashyap, Anil K., 1984. "Autocorrelation and the sensitivity of reset," Economics Letters, Elsevier, vol. 14(2-3), pages 229-233.
    6. Thursby, Jerry G, 1982. "Misspecification, Heteroscedasticity, and the Chow and Goldfeld-Quandt Tests," The Review of Economics and Statistics, MIT Press, vol. 64(2), pages 314-321, May.
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    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Local vs. Global Approximations
      by Dave Giles in Econometrics Beat: Dave Giles' Blog on 2012-07-08 21:56:00

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    Cited by:

    1. Hong, Seung Hyun & Phillips, Peter C. B., 2010. "Testing Linearity in Cointegrating Relations With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 96-114.
    2. David E. A. Giles & Betty J. Johnson, 1999. "Taxes, Risk-Aversion, and the Size of the Underground Economy: A Nonparametric Analysis With New Zealand Data," Econometrics Working Papers 9910, Department of Economics, University of Victoria.
    3. Jose Fernando Vilcarromero Arbulu & Jorge Luis Castilla Raimundo & Pedro Bernabe Venegas Rodriguez & Nivardo Alonzo Santillan Zapata & Jimmy Alberth Deza Quispe, 2021. "Financial Factors and Their Relative Importance Analysis in Peruvian Gold Mining Companies¡¯ Stock Price," International Journal of Financial Research, International Journal of Financial Research, Sciedu Press, vol. 12(2), pages 251-262, April.

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    More about this item

    Keywords

    Specification Analysis; RESET test; Autocorrelation;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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