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

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Author Info
David A. Belsley () (Boston College)

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Abstract

Monte Carlo experiments establish that the usual "t-statistic" used for testing for first-order serial 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. 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.

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Publisher Info
Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 331..

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Length: 51 pages
Date of creation: 01 Jan 1996
Date of revision:
Handle: RePEc:boc:bocoec:331

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Related research
Keywords: Serial correlation; hypothesis testing; size correction;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Other
C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other

References listed on IDEAS
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  1. Breusch, T S, 1978. "Testing for Autocorrelation in Dynamic Linear Models," Australian Economic Papers, Blackwell Publishing, vol. 17(31), pages 334-55, December.
  2. Godfrey, Leslie G, 1978. "Testing for Higher Order Serial Correlation in Regression Equations When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1303-10, November. [Downloadable!] (restricted)
  3. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-21, May. [Downloadable!] (restricted)
  4. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November. [Downloadable!] (restricted)
  5. MacKinnon, James G, 1992. "Model Specification Tests and Artificial Regressions," Journal of Economic Literature, American Economic Association, vol. 30(1), pages 102-46, March. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. David A. Belsley, 2000. "An Investigation Of An Unbiased Corection For Heteroskedasticity And The Effects Of Misspecifying The Skedastic Function," Computing in Economics and Finance 2000 154, Society for Computational Economics. [Downloadable!]
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