I have two samples, s1 and s2, of axial data (set of unit vectors, where sign of each vector is irrelevant). The two samples are paired, i.e. each vector in s1 corresponds exactly to one vector in s2.
I want to test the null hypothesis that the means of the two samples are equal. That is, I am looking for something that is similar to the paired t-test on axial distributions. Does anyone know of such a test?
I do have the book "Directional Statistics" by Kanti Mardia and Peter Jupp, and the book has a test for equality of means on axial distributions, but this test in the book is an unpaired (indepedent) version.