### Equal Local Levels: A Global Testing Approach with Application to Trans EQTL Detection

Takintayo Akinbiyi
In order to detect trans eQTLs in a given tissue type, it is common to perform an association test between each pair consisting of an expression level for a gene and a genetic variant that is trans" for that gene, for $D$ different genes and $M$ different genetic variants, where $D$ could be on the order of thousands or tens of thousands and $M$ could be on the order of hundreds of thousands or millions....
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