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Evaluate if distribution of interest genes (X) against non-interested genes (Y) or empirical theorical distribution

Hello Everyone!

I am still a little bit confused about how to formulate my question. But I have significant genes from my DEG. I did GSEA analysis, and I split pathways in sets of X and Y. I know how many significant genes are X or Y and up and down. As I am working on miRNA, I also split these genes into target and untarget.

predicted X up
predicted Y down
non-target X up
non-target Y down

I would like to know if the presence of predicted/unpredcted X is not random compared to non-targetX/non-target Y.

I already tried Fisher-test to evaluate with there is a difference and only non-target X up and non-target Y down was significant. I really would like to understand with genes in X are not random, and if I can find a way to look between predicted X and non-target X up. I was looking about probability distributions by plotting their quantiles against each other... but I am not sure each aproach I should use.

Thank you in advance for your support and any advice.

r deg

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