Variance of a discrete circular distribution

AMartianPotato

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Jul 29, 2016
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I have a certain number of evenly spaced angles each with an assigned value, I'm looking for a way to define a variance of these values around the circle in a way that recognizes that 0 degrees and 360 degrees are the same. That way a distribution with a peak around 0 degrees would give the same variance as the same distribution rotated so the peak is at any other angle.

I hope that makes sense. Thanks for any help.
 
I have a certain number of evenly spaced angles each with an assigned value, I'm looking for a way to define a variance of these values around the circle in a way that recognizes that 0 degrees and 360 degrees are the same. That way a distribution with a peak around 0 degrees would give the same variance as the same distribution rotated so the peak is at any other angle.

I hope that makes sense. Thanks for any help.
Use mod 360, ie change your data to residuals.
 
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