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Chunk #34 — Methods — Spike-and-slab threshold determination

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scCODA is a Bayesian model for compositional single-cell data analysis.
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For a desired false discovery rate α, we now set the optimal threshold \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c^{\prime}$$\end{document}c′ to include as many effects as possible, without the approximate FDR exceeding α:12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{array}{c}c^{\prime} =\mathop{\min }\limits_{0 < c < 1;\widehat{{{{{{\rm{FDR}}}}}}}(c) < \alpha }c\end{array}$$\end{document}c′=min0<c<1;FDR^(c)<αc