ABSTRACT

A First Step toward a Unified Theory of Richly Parameterized Linear ModelsUsing mixed linear models to analyze data often leads to results that are mysterious, inconvenient, or wrong. Further compounding the problem, statisticians lack a cohesive resource to acquire a systematic, theory-based understanding of models with random effects.Richly Param

chapter 3|22 pages

Penalized Splines as Mixed Linear Models

chapter 5|22 pages

Spatial Models as Mixed Linear Models

chapter 6|12 pages

Time-Series Models as Mixed Linear Models

chapter 8|24 pages

Adapting Diagnostics from Linear Models

chapter 9|10 pages

Puzzles from Analyzing Real Datasets

chapter 11|14 pages

Differential Shrinkage

chapter 12|34 pages

Competition between Random Effects

chapter 13|18 pages

Random Effects Old and New

chapter 18|8 pages

Zero Variance Estimates