High thoroughput omics p>>n and p-values

It may not solve your specific problem, but Bradley Efron has devoted a lot of attention to the problems of large scale testing and estimation in an Empirical Bayes framework, that builds upon the frequentist tools like p values. It should help clarify the problem. He has co-authored 2 monographs (at the top of this list). A number of case studies involve genetics and biochemistry specifically.

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