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Chunk #79 — Online Methods — The EZ model, and applying mash to Z scores.

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Flexible statistical methods for estimating and testing effects in genomic studies with multiple conditions.
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As explained in Stephens16, the EZ model can be fit by applying the same code as the EE model to the Z statistics instad of the effect estimates, B^, in which the standard errors of the Z statistics are set to 1; in other words, set b^jr=zjr and s^jr=1. (The correlation matrix, C, remains the same.) One advantage of the EZ model is that it can be fit using only the Z scores; it does not require access to both the effect estimates and their standard errors. The lfsr can also be computed using only the Z scores. However, the posterior mean estimates that arise from this model are estimates of Sj−1bj; transforming these to estimates of effect sizes bj requires knowledge of Sj.