Thesiss

Data in the form of proportions arise in toxicology (Weil, 1970; Williams, 1975) and other similar fields (Crowder, 1978; Otake and Prentice, 1984). These proportions often exhibit variation greater than predicted by a simple binomial model. Several parametric models such as the…

Smoothing is the practice of modeling data in order to eliminate random variation from the observed data and provide estimates of the underlying process. Models are developed here beginning with an additive model that incorporates spatio-temporal smoothing of the observed mortal…

In many clinical studies, the outcome of interest is an event time. In addition, longitudinal data on biomarkers may be collected, and such information may provide insight into underlying disease risk or severity. The goal in this dissertation is to develop models and estimation…