Modeling polar coordinates
I'd like to fit mixed models for polar coordinates. Each point represents the outcome of a trial in an experiment. Items and subjects will be crossed random effects. Fitting a model for the radius component is business as usual but I don't know how to approach the azimuth component. The problem is that 2pi and 0 specify the same point on a circle and that the difference between 2pi-0.1 and 0.1 is 0.2 rather than ~6.08. Is there a way to deal with that in lme4? R-seek didn't yield anything useful, maybe I used bad search terms. Thanks in advance for any advice! Best, Titus