Abstract
Mardia-Watson-Wheeler is applied for testing whether the circulation observations differ significantly or not. The existing Mardia-Watson-Wheeler test is applied when all circulation observations are determined, precise, and certain. In this paper, Mardia-Watson-Wheeler is introduced under neutrosophic statistics. The proposed test applies when the circular data are not exact, in the interval, imprecise and indeterminate. The test statistic of Mardia-Watson-Wheeler is extended for neutrosophic statistics. The decision criteria for testing the null hypothesis are explained with the help of circular observations obtained from two boat navigation systems. The real example and comparative studies show that the proposed test outperforms the existing Mardia-Watson-Wheeler test under classical statistics in terms of flexibility and information. From the application and comparative studies, it can be concluded that the proposed test can be applied effectively in an uncertain environment.