I am looking for a test for circular data that is equivalent to linear repeated measures ANOVA (I have an experiment using human participants where the same sample of participants perform multiple experimental conditions and the dependent variable is an angle).
I have noticed 3 tests for performing ANOVA on circular data:
- Watson & Williams (1956),
- Harrison & Kanji (1986),
- Anderson & Wu (1995) http://fmatoolbox.sourceforge.net/API/FMAToolbox/General/CircularANOVA.html
Do these tests require independent samples (as I suspect is the case for the Watson-Williams test) or can they be used on repeated measures data? If the former, is there another test that does what I desire?