Statistical Details for the Response Screening Platform

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Predictive and Specialized Modeling • Response Screening • Statistical Details for the Response Screening Platform

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All of the Response Screening plots involve p-values for tests conducted using the FDR technique described in Benjamini and Hochberg (1995). See also Westfall et al. (2011). This method assumes that the p-values are independent and uniformly distributed.

JMP uses the following procedure to control the false discovery rate at level α:

Conduct the m hypothesis tests of interest to obtain p-values p1, p2, ..., pm.

Rank the p-values from smallest to largest. Denote these by

Find the largest p-value for which

. Suppose this first p-value is the kth largest, p(k).

Reject the k hypotheses associated with p-values less than or equal to p(k).

This procedure ensures that the expected false discovery rate does not exceed α.

The p-values adjusted for the false discovery rate, denoted p(i), FDR, are computed as:

If a hypothesis has an FDR-adjusted p-value that falls below α, then it is rejected by the procedure.

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Help created on 7/12/2018