Chunk #12 — Findings — Improvements in PLINK 1.9 — Bit population count

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Second-generation PLINK: rising to the challenge of larger and richer datasets.

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yes

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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $${\fontsize{9}{6}\begin{aligned} \overline{v^{2}} & := |I_{x,y}|^{-1}\sum_{i\in I_{x,y}}{v_{i}^{2}},\text{and} \\ \overline{w^{2}} & := |I_{x,y}|^{-1}\sum_{i\in I_{x,y}}{w_{i}^{2}}. \end{aligned}} $$ \end{document}v2¯:=|Ix,y|−1∑i∈Ix,yvi2,andw2¯:=|Ix,y|−1∑i∈Ix,ywi2.