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Chunk #11 — Results — Methods overview. — Step 1b:

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Flexible statistical methods for estimating and testing effects in genomic studies with multiple conditions.
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Given U, estimate π by maximum likelihood from the condition-by-condition results. This step can rescue imperfections in Step 1a by assigning low weight to covariance matrices that are not well-supported by the data. This step also adapts to sparse effects; if most effects are zero, or small, this step will put most weight on small effects (i.e., small scaling coefficients,ω).