A simple permutation-type method for testing circular uniformity with correlated angular measurements

A simple method is provided for testing uniformity on the circle that allow s dependence among repeated angular measurements on the same subject. Our n ull hypothesis is that the distribution of repeated angles is unaffected by rotation. This null can be evaluated with any test of uniformity by using a null reference distribution obtained by simulation, where each subject's vector of angles is rotated by a random amount. A new weighted version of t he univariate Rayleigh test of circular uniformity is proposed.