for α will be large when μ≲1/α, which leads to the appearance of bias. For simplicity, we have stated the above argument without regard to the influence of the size factors, sj, on the value of μ. This is permissible because, by construction, the geometric mean of our size factors is close to 1, and hence, the mean across samples of the unnormalized read counts, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\frac {1}{m}\sum _{j} K_{\textit {ij}}$ \end{document}1m∑jKij, and the mean of the normalized read counts, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\frac {1}{m}\sum _{j} K_{\textit {ij}}/s_{j}$ \end{document}1m∑jKij/sj, will be roughly the same.
