Chunk #37 — Methods — LCV model

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Distinguishing genetic correlation from causation across 52 diseases and complex traits.

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Under the LCV model assumptions, we derive the estimation equation (2) as follows: E(α13α2)=E((γ1+q1π)3(γ2+q2π))=q13q2E(π4)+3q1q2E(π2γ12)=q13q2E(π4)+3q1q2E(π2)E(γ12)=q13q2E(π4)+3q1q2(1)(1−q12)=q13q2(E(π4)−3)+3q1q2.