Chunk #37 — Online Methods — PolyFun fine-mapping method

Source

Functionally informed fine-mapping and polygenic localization of complex trait heritability.

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yes

Text

To derive Equation 2 we define the causality indicator ci=I[βi≠0|ai] and apply the law of total variance to var[βi|ai]: var[βi|ai]=Eci[var[βi|ai,ci]]+varci[E[βi|ai,ci]]=Eci[var[βi|ai,ci]]+varci[0]=P(ci=0)⋅0+P(ci=1)var[βi|ai,ci=1]=P(βi≠0|ai)var[βi|ai,βi≠0]=P(βi≠0|ai)var[βi|βi≠0].