Chunk #30 — Methods — Post hoc ancestry adjustment

Source

Development and validation of a trans-ancestry polygenic risk score for type 2 diabetes in diverse populations.

Embedded

yes

Text

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${PRS}_{i,\mathrm{adj}}=\frac{PRS_{i,\mathrm{raw}}-\left({\hat{\alpha}}_0+{\sum}_{k=1}^5{\hat{\alpha}}_k\times {PC}_{i,k}\right)}{\sqrt{{\hat{\beta}}_0+{\sum}_{k=1}^5{\hat{\beta}}_k\times {PC}_{i,k}}}.$$\end{document}PRSi,adj=PRSi,raw-α^0+∑k=15α^k×PCi,kβ^0+∑k=15β^k×PCi,k.