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Proportion of traits in several groups

Hi!

I'll be very thankful for some feedback here.

I've got a binary matrix of samples X traits, so for each sample I know whether a trait exists or not.

Each sample belongs to a group of samples and I want to test which, if any, of the traits appears dis-proportionally in a group. Some numbers to put things in context- 500 samples, 10 groups, 2000 traits.

I thought about two ways to approach it and will be glad to get your input:

1) Propotion test- test the observed proportion of the trait in a group relative to the expected proportion (the proportion of the samples in the group relative to all samples).

2) fisher's exact test with mx2 contingency table- where m is the number of groups and 2 is four counting samples with or without the trait. Something like that:

example

My problem here is that in contrast to 2x2 table the p value is not so intuitive to me.

Thanks in advance!

propotion-test fishers-exact-test

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