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How do you determine the degrees of freedom for Kuiper's Test of Uniformity for circular data?

I have been using various R packages for circular data (circular, CircStats) and I can't seem to find out how to get the degrees of freedom for the Kuiper's test.

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As you can check from Wikipedia and from the help pages of the packages that you mention, Kuiper's test does not have a degree of freedom. It proceeds like the Kolmogorov-Smirnov test, which also does not have a degree of freedom.

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