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Aug 18, 2020 at 21:37 comment added Christian Hennig Does that mean you ran 400 Shapiro tests and looked at 400 plots? In any case, note that if you run 400 tests, there will be random significances. Only Bonferroni-corrected p-values (i.e., significant at 0.05/400) give a clear indication that a specific metabolite is different in such a situation. Given that with $n=5$ the power of any test is very weak, I don't see that you can get a single p-value of this kind. So chances are significance testing will not address this issue appropriately. You'd need more data.
Aug 18, 2020 at 20:13 answer added Eron Raines timeline score: 1
Aug 18, 2020 at 19:58 history edited BruceET CC BY-SA 4.0
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Aug 18, 2020 at 19:51 history edited BruceET CC BY-SA 4.0
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Aug 18, 2020 at 19:28 answer added BruceET timeline score: 1
Aug 18, 2020 at 15:59 comment added Mee I have around 400 metabolites for 5 paired samples (before and after a treatment) and want to know which metabolites are different before and after treatment. I know the data es not normal because of the plots and the shapiro test showed the data es not normal. I was thinking maybe about transforming the data...
Aug 18, 2020 at 12:53 comment added Christian Hennig You are not stating what exactly you want to know. With 5 pairs the power of any test will be very low, so it may not make sense to run any test. The paired t-test could give some indication in case the data are not too non-normal. How do you know your data "do not follow a normal distribution"? What indication against normality do you have? And why do you need a test?
Aug 18, 2020 at 12:01 history asked Mee CC BY-SA 4.0