Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2016

Committee Chair or Co-Chairs

Edith Seier

Committee Members

Robert Price, Christina Nicole Lewis

Abstract

Longitudinal data arise when individuals are measured several times during an ob- servation period and thus the data for each individual are not independent. There are several ways of analyzing longitudinal data when different treatments are com- pared. Multilevel models are used to analyze data that are clustered in some way. In this work, multilevel models are used to analyze longitudinal data from a case study. Results from other more commonly used methods are compared to multilevel models. Also, comparison in output between two software, SAS and R, is done. Finally a method consisting of fitting individual models for each individual and then doing ANOVA type analysis on the estimated parameters of the individual models is proposed and its power for different sample sizes and effect sizes is studied by simulation.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.