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Chunk #52 — ONLINE METHODS — Theory

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Multi-trait analysis of genome-wide association summary statistics using MTAG.
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The sampling variance of the estimator is Var(β^MTAG,j,t−βj,t)=1ωt′ωtt(Ω−ωtωt′ωtt+∑j)−1ωtωtt.For each trait t, the standard error of the estimate is the square root of this quantity. As is standard, we obtain a P value using the fact that in large samples, β^MTAG,j,t divided by its standard error follows a standard normal distribution under the null hypothesis.