Talk:Kuiper's test

Doesn't seem like a problem to me that a test for whether failures occur at certain times of year can't detect other, unspecified regularities (like weekend failures).

Cyclic invariance?
What's "cyclic invariance"?

As of 2023-08-03, the lede of this article includes saying, "The Anderson–Darling test is another test that provides equal sensitivity at the tails as the median, but it does not provide the cyclic invariance."

Can someone please clarify what is "cyclic invariance", with at least a citation that makes it easy to see why Kuiper's test has it and Anderson-Darling does not?

Thanks, DavidMCEddy (talk) 22:19, 3 August 2023 (UTC)

Justification needed?
"This small change makes Kuiper's test as sensitive in the tails as at the median and also makes it invariant under cyclic transformations of the independent variable."

I believe this statement is not obvious at all and would require a citation or reference. 92.184.118.75 (talk) 01:57, 14 April 2024 (UTC)