R/mvglmmRank-package.R

In mvglmmRank: Multivariate Generalized Linear Mixed Models for Ranking Sports Teams

#' mvglmmRank: Multivariate generalized linear mixed models for ranking sports teams
#'
#' @description
#' The package fits multivariate generalized linear mixed models for team
#' scores, win/loss indicators, and margin-of-victory responses. Maximum
#' likelihood estimates are obtained by an EM algorithm using either a
#' first-order or fully exponential Laplace approximation.
#'
#' @details
#' See \code{\link{mvglmmRank}} for the fitting interface and
#' \code{\link{game.pred}} for printed game predictions from fitted models.
#'
#' @references
#' Broatch, J.E. and Karl, A.T. (2018). Multivariate Generalized Linear Mixed
#' Models for Joint Estimation of Sporting Outcomes. \emph{Italian Journal of
#' Applied Statistics}, 30(2), 189-211. Also available from
#' \url{https://arxiv.org/abs/1710.05284}.
#'
#' Karl, A.T. and Zimmerman, D.L. (2021). A Diagnostic for Bias in Linear
#' Mixed Model Estimators Induced by Dependence Between the Random Effects and
#' the Corresponding Model Matrix. \emph{Journal of Statistical Planning and
#' Inference}, 211, 107-118. \doi{10.1016/j.jspi.2020.06.004}.
#'
#' Karl, A.T., Yang, Y. and Lohr, S. (2014). Computation of Maximum Likelihood
#' Estimates for Multiresponse Generalized Linear Mixed Models with
#' Non-nested, Correlated Random Effects. \emph{Computational Statistics &
#' Data Analysis}, 73, 146-162. \doi{10.1016/j.csda.2013.11.019}.
#'
#' Karl, A.T. (2012). The Sensitivity of College Football Rankings to Several
#' Modeling Choices. \emph{Journal of Quantitative Analysis in Sports}, 8(3).
#' \doi{10.1515/1559-0410.1471}.
#'
#' @docType package
#' @name mvglmmRank-package
#' @aliases mvglmmRank-package
#' @keywords package
#' @import Matrix
#' @importFrom MASS ginv
#' @importFrom methods as
#' @importFrom numDeriv jacobian
#' @importFrom stats as.formula dnorm formula pnorm
#' @importFrom utils flush.console
"_PACKAGE"