The Problem of Inconclusive Region in Autocorrelation Tests in Least Square Regression

Document Type : Original Article

Authors

1 Department of applied statistics and econometrics, Institute of Statistical Studies and Research, Egypt

2 M.Sc Student

Abstract

The Durbin-Watson (DW) test is one of the most widely used tests for autocorrelation in
regression models. The DW test has, however, an important limitation: the test is indeterminate when the test statistic falls into the so-called Inconclusive (Ignorance) Region. The Inconclusive Region exists because the true distribution of the DW statistic is not tractable. Though there have been suggested a number of approximation methods to establish more accurate critical values for the DW test.  This paper compares between the three tests of Inconclusive Region of DW test using a Monte Carlo study, these tests are Theil-Nagar (1961) (TN), Henshaw (1966) (H) and Durbin-Watson (1971). This paper concludes that H considerably outperforms the original DW test and identical to Durbin-Watson (1971) approximation.

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