I was wondering if there is any matlab script available around to perform a goodness-of-fit test for the Von Mises-Fisher distribution:

http://en.wikipedia.org/wiki/Von_Mises%E2%80%93Fisher_distribution

I've tried to use the Circular Statistics Toolbox in Matlab:

http://www.mathworks.com/matlabcentral/fileexchange/10676-circular-statistics-toolbox-directional-statistics

but I've not found anything that can help me.

Here are some references in the literature:

http://www.jstor.org/discover/10.2307/2345464?uid=3738296&uid=2129&uid=2&uid=70&uid=4&sid=21102210611821

http://www.jstor.org/discover/10.2307/2333135?uid=3738296&uid=2129&uid=2&uid=70&uid=4&sid=21102298807257

Should I use a usual test of normality available in matlab, such as the chi2gof, to test if my angles on the circle are distributed normally?

And say if the angles are distributed normally they are also distributed as a von mises-fisher, as on the circle the von Mises-fisher distribution is roughly analogous to the normal distribution?

Please can you help?

P.S. If you would have any matlab script which performs a goodness-of-fit test for a Von Mises-Fisher and you could share I would be tremendous grateful.

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