I've just bought 'Circular statistics in R'. It's a superb book and gently takes you through such analyses in R.

Incidentally, are there any forums for discussion on circular statistics? We're analyzing circular data at the mo and I must say I am a little nervous I am doing silly things!

Not a Software, however, I suppose what you are looking for is test of hypothesis for circular data. The following might be helpful:

Kuiper's P-value as a Measuring Tool and Decision Procedure for the

Goodness-of-fit Test, Journal of Applied Statistics, 15(3), 131-135, 1988.

http://home.ubalt.edu/ntsbarsh/Kuper.pdf

Abstract:

The need for computing P-values for the Kuiper statistic has been emphasized by Batschelet (1981). Some exact P-values, with useful interpretations for making inference about a probability model for circular data, are provided. Computations of the exact values are based on Durbin (1973) boundary crossing probabilities. A numerical example is used to demonstrate the usefulness of the results.

Dear Dr. Arsham,

Thank you so much for your help.

Yes, you are absolutely right. I am looking for a suitable test. I would like to compare the orientations of astigmatism in different treatment groups. Would the Watson-Williams test be an appropriate test if three or more treatment groups are involved? Because it seems that the Kuiper's test is for comparing two independent random samples. Or there is a multisample version for the Kuiper's test.

Regards,

Geoffrey

I recently started using Oriana 4 for circular statistics. Not sure if that might help you or not.

Dear Giancarlo,

Thank you!!

Yes, it helps a lot.

there are also the circular package and the circstats package for R which are free. If you google for them you will rapidly find the download pages.

Many Thanks!

Geoffrey

I've just bought 'Circular statistics in R'. It's a superb book and gently takes you through such analyses in R.

Incidentally, are there any forums for discussion on circular statistics? We're analyzing circular data at the mo and I must say I am a little nervous I am doing silly things!

Just wanted to add my vote for the book "circular statistics in R" - it contains a lot of easy-to-understand examples (and R code) and is a very good starting point on what I consider to be a very interesting journey into a new type of statistics. 

Thank you! e-version is available in our library.

Your can as read my papers on the application: Application of Multiple Circular-linear Regression Models to Animal Movement Data with Covariates. Robert.M.Mutwiri; Approaches for Testing Uniformity Hypothesis in Angular Data of Mega-Herbivores