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Shows the estimated quantile-specific effect sizesβˆτfor the regression of residual BMI on the corresponding residual polygenic scores. Estimates ofβˆτare shown with their 95% confidence intervals for 19 evenly spaced quantiles from 0.05 to 0.95. The linear and quadratic trend lines are shown with solid and dashed lines, respectively. The average relationship between residual phenotype and polygenic scores from OLS,βˆOLS, is shown as a horizontal gray line, with dashed lines indicating 95% confidence intervals. All units are scaled forβˆOLSto be the correlation. For ratios with red-colored confidence intervals, the corresponding confidence intervals forβˆτon the left side of the figure (A, C, and E) are also colored red.
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