mvglmmRank-package: mvglmmRank: Multivariate generalized linear mixed models for...

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 mvglmmRank for the fitting interface and game.pred for printed game predictions from fitted models.

Author(s)

Maintainer: Andrew T. Karl [e-mail] (ORCID)

Authors:

• Andrew T. Karl [e-mail] (ORCID)

• Jennifer Broatch

References

Broatch, J.E. and Karl, A.T. (2018). Multivariate Generalized Linear Mixed Models for Joint Estimation of Sporting Outcomes. Italian Journal of Applied Statistics, 30(2), 189-211. Also available from 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. Journal of Statistical Planning and Inference, 211, 107-118. \Sexpr[results=rd]{tools:::Rd_expr_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. Computational Statistics & Data Analysis, 73, 146-162. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/j.csda.2013.11.019")}.

Karl, A.T. (2012). The Sensitivity of College Football Rankings to Several Modeling Choices. Journal of Quantitative Analysis in Sports, 8(3). \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1515/1559-0410.1471")}.

mvglmmRank documentation built on June 9, 2026, 5:08 p.m.