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Chunk #16 — Methods — Illustrative example

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Mendelian randomization with invalid instruments: effect estimation and bias detection through Egger regression.
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The data can also be displayed visually by a funnel plot.28 In the context of meta-analysis, this is a plot of a measure of the precision of study estimates vs the estimates themselves (see Figures 3 and 4). Asymmetry in the funnel plot will occur if there is directional small study bias, as extreme results from smaller studies are more likely to be published. In the context of Mendelian randomization, we plot the genetic associations with the exposure γ^j against the individual IV estimates β^j, as the genetic associations with the exposure are related to the precision of the IV estimates. We refer to asymmetry in this plot as ‘directional’ pleiotropy, meaning that the pleiotropic effects of genetic variants are not balanced about the null.