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A Small-Sample Correction for Testing for gth-Order Serial Correlation with Artificial Regressions

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  • Belsley, David A

Abstract

Monte Carlo experiments establish that the usual 't-statistic' used for testing for first-order dial correlation with artificial regressions is far from being distributed as a Student's t in small samples. Rather, it is badly biased in both mean and variance and results in grossly misleading tests of hypotheses when treated as a Student's t. (Similar distortions plague the familiar Durbin-Watson statistic.) Simply computed corrections for the mean and variance are derived, however, which are shown to lead to a transformed statistic producing acceptable tests. The test procedure is detailed and exemplar code provided. Citation Copyright 1997 by Kluwer Academic Publishers.

Suggested Citation

  • Belsley, David A, 1997. "A Small-Sample Correction for Testing for gth-Order Serial Correlation with Artificial Regressions," Computational Economics, Springer;Society for Computational Economics, vol. 10(3), pages 197-229, August.
    • Handle: RePEc:kap:compec:v:10:y:1997:i:3:p:197-229
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    Cited by:

    1. Godfrey, L.G. & Tremayne, A.R., 2005. "The wild bootstrap and heteroskedasticity-robust tests for serial correlation in dynamic regression models," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 377-395, April.
    2. Mohd. FAYAZ & Kaur Bhatia SANDEEP, 2016. "Trends , Patterns and Determinants of Indian Current Account Deficit," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 16(1).
    3. Belsley, David A., 2002. "An investigation of an unbiased correction for heteroskedasticity and the effects of misspecifying the skedastic function," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1379-1396, August.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other

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