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Mendelian randomization (MR) is a statistical method exploiting genetic variants as instrumental variables to estimate the causal effect of modifiable risk factors on an outcome of interest. Despite wide uses of various popular two‐sample MR methods based on genome‐wide association study summary level data, however, those methods could suffer from potential power loss or/and biased inference when...
In this article, we propose the eigen higher criticism and the eigen Berk–Jones testing procedures to test the association between a single genetic variant and multiple correlated traits based on summary statistics from single‐trait genome‐wide association studies. Since the association pattern between each genetic variant and multiple traits varies across the whole genome, we further develop an omnibus...