Spline smoothers as implemented in common mixed model software provide a familiar framework for estimating semi-parametric and non-parametric models. Following a review of literature on splines and mixed models, details for implementing mixed model splines are presented. The examples use an experiment in the health sciences to demonstrate how to use mixed models to generate the smoothers. The first example takes a simple one-group case, while the second example fits an expanded model using three groups simultaneously. The second example also demonstrates how to fit confidence bands to the three-group model. The examples use mixed model software as implemented in lme() in R. Following the examples a discussion of the method is presented.
College and Department
Physical and Mathematical Sciences; Statistics
BYU ScholarsArchive Citation
Howell, John R., "Analysis Using Smoothing Via Penalized Splines as Implemented in LME() in R" (2007). Theses and Dissertations. 1069.
Mixed Model Splines, Smoothing Splines, P-Splines, Splines in R, Splines with LME