Publication Date
Summer 7-28-2026
Abstract
This dissertation analyzes one of the few publicly available NFL injury datasets to study field type and non-contact lower-limb injuries. Field type is studied jointly with other risk factors to understand how these factors interact to affect injury risk. The data were gathered through a case-control sampling scheme, which limits direct inference on absolute injury probabilities. While not the most common approach for case-control data, this dissertation models the retrospective distribution directly through Log-Linear General Location Models (Log-Linear GLOMs). Through a log-linear structure placed on a log-odds-ratio reparameterization, the model provides directly interpretable marginal and interaction contributions to injury log-odds ratios, while still allowing flexible modeling of problem-specific dependence structures. The model's properties are investigated through simulation studies before it is used to study potential injury risk factors in the 1st & Future dataset.
Degree Name
Statistics
Level of Degree
Doctoral
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Fletcher Christensen
Second Committee Member
Gabriel Huerta
Third Committee Member
Yan Lu
Fourth Committee Member
Huining Kang
Language
English
Keywords
case-control, log-linear, injuries, football, multivariate, mixed data
Document Type
Dissertation
Recommended Citation
Stuart, Zacharia. "Interpretable Case-Control Inference Through Log-Linear General Location Models." (2026). https://digitalrepository.unm.edu/math_etds/276
Included in
Applied Mathematics Commons, Mathematics Commons, Sports Sciences Commons, Statistics and Probability Commons