An interesting problem! I think you really need something that isn't just a test, rather, some way of characterising the difference in distributional form between the two samples, which also enables you to get an associated p-value. I guess that the most helpful approach here ISN'T the usual one for paired data that starts by taking paired differences as in paired t / Wilcoxon etc. I guess the best approach would be to calculate the K-S statistic, and to investigate its distribution on the null hypothesis that the two samples have the same distribution, but with the additional assumption that the two samples are not independent - perhaps with some measure of correlation as a nuisance parameter.
Robert Newcombe
Cardiff
-----Original Message-----
From: A UK-based worldwide e-mail broadcast system mailing list [mailto:[log in to unmask]] On Behalf Of Michail Tsagris
Sent: 27 September 2018 10:59
To: [log in to unmask]
Subject: Comparing distributions from 2 dependent samples
Hello.
Does anyone know of a test for comparing 2 distributions from dependent samples?
Kolmogorov-Smirnov and Anderson-Darling work with independent samples. Is there a modification for dependent samples?
Any suggestion could prove useful.
With kind regards,
Michail
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