\documentclass[12pt]{article} \usepackage{Sweave} \usepackage{amsmath} \usepackage{graphicx} \usepackage{booktabs} \usepackage{hyperref} \usepackage{pdfpages} %% \VignetteIndexEntry{Imputation of missing covariates under a multivariate linear mixed model} %% \Vignettekeywords{multiple imputation, multivariate linear mixed model} %% \VignettePackage{pan} \begin{document} \section*{Maintainer's Note} The 1997 technical report as noted at \url{https://science.psu.edu/stat/research/technical-reports}., together with the subsequent publications, are all included in this vignette for convenience. \begin{enumerate} \item Schafer, J. L. (1997). \emph{Imputation of Missing Covariates under a Multivariate Linear Mixed Model.} Technical Report 97-04, Department of Statistics, The Pennsylvania State University. \item Schafer, J. L. (2001). Multiple imputation with PAN. In L. M. Collins and A. G. Sayer (Eds.), \emph{New Methods for the Analysis of Change} (pp.~357--377). American Psychological Association. \url{https://doi.org/10.1037/10409-012} \item Schafer, J. L., and Y\"ucel, R. M. (2002). Computational strategies for multivariate linear mixed-effects models with missing values. \emph{Journal of Computational and Graphical Statistics}, \textbf{11}, 437--457. \end{enumerate} \medskip The marijuana data set included with the package is reproduced below. Example code can be viewed using \texttt{help(ecme, package = "pan")}. \begin{table}[ht] \centering \caption{Change in heart rate (beats per minute above baseline) measured 15 and 90 minutes after marijuana use.} \label{tab:heart-rate} \begin{tabular}{crrr|rrr} \toprule & \multicolumn{3}{c|}{15 minutes} & \multicolumn{3}{c}{90 minutes} \\ \cmidrule(lr){2-4}\cmidrule(lr){5-7} Subject & Placebo & Low & High & Placebo & Low & High \\ \midrule 1 & 16 & 20 & 16 & 20 & -6 & -4 \\ 2 & 12 & 24 & 12 & -6 & 4 & -8 \\ 3 & 8 & 8 & 26 & -4 & 4 & 8 \\ 4 & 20 & 8 & \textemdash & \textemdash & 20 & -4 \\ 5 & 8 & 4 & -8 & \textemdash & 22 & -8 \\ 6 & 10 & 20 & 28 & -20 & -4 & -4 \\ 7 & 4 & 28 & 24 & 12 & 8 & 18 \\ 8 & -8 & 20 & 24 & -3 & 8 & -24 \\ 9 & \textemdash & 20 & 24 & 8 & 12 & \textemdash \\ \bottomrule \end{tabular} \end{table} \includepdf[pages=-,width=8.5in]{tr9704.pdf} \includepdf[pages=-,width=8.5in]{schafer01.pdf} \includepdf[pages=-,width=8.5in]{schafer02.pdf} \end{document}