Distribution-free two-sample homogeneity test for circular data based on geodesic distance

A new distance-based homogeneity test for circular data is considered in this paper. This test statistic could be used with a permutation test to detect the homogeneity between the distributions of two angular groups. A comparison between the proposed test against the Randomisation Watson test (RWT) and Wheeler Watson test (WWT) is addressed as well. The power of the new test has been computed and compared against RWT and WWT powers based on the angular simulated data which have been generated from the von Mises distributions. The simulation study based on the power demonstrates that the proposed statistical test outperforms classical tests.