Chunk #55 — ONLINE METHODS — Theory

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Multi-trait analysis of genome-wide association summary statistics using MTAG.

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ω^ts=1M∑j=1Mβ^j,tβ^j,s−∑j,ts,where M is the number of SNPs in the analysis. Intuitively, the estimated covariance in true genetic effects between trait t and trait s is equal to the covariance in their observed GWAS coefficients minus the covariance in GWAS coefficients that is due to correlated estimation error.