Why cite means/medians for circular data when you can calculate bias-free measures? (from 'Circular statistics in R')

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Julia B. Smith

It has largely to do with the audience for your paper. If they recognize bias-free calculations, those clearly are preferable. But I have run into many reviewers who want the standard descriptives provided, if only for a comparison point to understand how the bias-free calculation impacted the result.

John Christie

Some people cite a mean direction in circular statistics but they calculated it correctly, which is the circ.mean value in CircStats (another package like Circular). It's completely inappropriate to report a mean value calculated the conventional way because that ignores the fact that 0 and 359 are immediately adjacent (in degrees, 0 and 2pi in radians). The same applies for median. You've got to use the proper circular values.