Micro array: distribution of p-values



Hello all,

I'm having a (friendly) discussion with my PhD-promoter about the distribution of p-values:

Suppose you have the results of a micro array with expressions of n genes (eg. 10000) for t1 cases and t2 controls. One wants to compare gene expression between t1 and t2 so suppose one would do a t-test for every gene. This would result in n p-values.

Now the question is: what is the distribution of these p-values under the assumption that there is NO difference in gene expression. This would be possible by mixing up (permutating) the t1 cases and t2 controls and performing new t-tests (between t1' and t2').

Now I'm saying that these p-values are showing an uniform distribution because each p-value will occur by chance with a same probability. My promoter on the other hand is stating that, due to the permutations, the lower p-values will occur at a lower probability, thus not yielding an uniform distribution.

I'm almost sure I'm right ;-) but am I?

Thanks!
Tim
.



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