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Chunk #8 — Item response theory models

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Variance decomposition using an IRT measurement model.
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where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \Psi (x) = \frac{{\exp (x)}} {{1 + \exp (x)}}. $$\end{document}