%% \VignetteIndexEntry{Imputation of missing covariates under a multivariate linear mixed model} %% \Vignettekeywords{multiple imputation, multivariate linear mixed model} %% \VignettePackage{pan} \documentclass[12pt]{article} \usepackage{Sweave,hyperref,pdfpages} \usepackage{amsmath,epsfig} \usepackage{graphicx} \usepackage[authoryear,round]{natbib} \bibliographystyle{plainnat} \parindent 0in \begin{document} \title{Imputation of missing covariates under a multivariate linear mixed model} \author{Joseph L. Schafer} \date{} \maketitle \tableofcontents \thispagestyle{empty} \newpage \thispagestyle{empty} \section{Maintainer's note} The reference should read\footnote{Note that the technical report is now available from \textit{http://sites.stat.psu.edu/reports/1997/tr9704.pdf} and briefly described at \textit{http://stat.psu.edu/research-old/technical-reports/archived-technical-reports}}.. \vskip 0.25cm Schafer, J.L. (1997) Imputation of missing covariates under a multivariate linear mixed model. Technical report 97-04, Dept. of Statistics, The Pennsylvania State University. \vskip 0.25cm You can also refer to the following paper. \vskip 0.25cm Schafer J L, Yucel RM (2002). Computational strategies for multivariate linear mixed-effects models with missing values. Journal of Computational and Graphical Statistics. 11:437-457 \vskip 0.25cm The marijuana data in the package is reproduced here, \begin{table}[h] \centering \caption{Change in heart rate recorded 15 and 90 minutes after marijuana use, measured in beats per minute above baseline} \begin{tabular}{crrr|rrr} \\ \hline & \multicolumn{3}{c}{15 minutes} & \multicolumn{3}{c}{90 minutes} \\ \cline{2-4} \cline{5-7} Subject & Placebo & Low & High & Placebo & Low & High\\ \hline 1 & 16 & 20 & 16 & 20 & -6 & -4\\ 2 & 12 & 24 & 12 & -6 & 4 & -8\\ 3 & 8 & 8 & 26 & -4 & 4 & 8\\ 4 & 20 & 8 & - & - & 20 & -4\\ 5 & 8 & 4 & -8 & - & 22 & -8\\ 6 & 10 & 20 & 28 & -20 & -4 & -4\\ 7 & 4 & 28 & 24 & 12 & 8 & 18\\ 8 & -8 & 20 & 24 & -3 & 8 & -24\\ 9 & - & 20 & 24 & 8 & 12 & -\\ \hline \\ \end{tabular} \end{table} \vskip 0.15cm One can use {\bf help(ecme,package=``pan'')} to see the example code. \section{Technical Report} The technical report starts from next page. \includepdf[pages=-,width=8.5in]{tr9704.pdf}\label{tr9704} \includepdf[pages=-,width=8.5in]{schafer01.pdf}\label{schafer01} \includepdf[pages=-,width=8.5in]{schafer02.pdf}\label{schafer02} \end{document}