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Apr 5, 2019 at 16:05 comment added Underminer @qwr that is not true. There is a two-sample KS test, defined on wikipedia.
Apr 5, 2019 at 14:55 comment added qwr The KS test only works against a pre-defined distribution, not from a distribution with parameters estimated from data.
Oct 28, 2017 at 19:12 comment added a06e What can I do if my points are two-dimensional? That is, I have two samples of two-dimensional points, and I want to know if they come from distinct distributions.
Apr 29, 2014 at 20:52 comment added Underminer @AdamO Yes, but if you have large samples and you fail to reject, I would be confident that the populations are practically identical. As far as I know, there is no theory to back this up, but from experience, knowing that the KS for heterogeneity can detect minute differences with large sample size can allow you to use a failed large sample test as a de facto statement of practically identical populations. Does my response answer the question "calculate the statistical probability that these two samples were pulled from the same population"? Certainly not.
Mar 27, 2014 at 21:39 history edited Underminer CC BY-SA 3.0
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Jan 24, 2014 at 3:33 comment added AdamO @MichaelMayer that's exactly right. OP is interested in a test of homogeneity... which has many underlying methodological issues. KS for heterogeneity also has its issues: practically, it will reject in large samples regardless of whether populations are practically identical in all aspects. It just goes to show that testing, and consequently p-values, are better conceived of as measures of sample size than statistical significance.
Jan 24, 2014 at 2:41 history edited Underminer CC BY-SA 3.0
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Jan 23, 2014 at 22:35 comment added Michael M I doubt that KS test can be used to show distributional equivalence.
Jan 23, 2014 at 21:25 history answered Underminer CC BY-SA 3.0