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Joint Models with Splines in the Longitudinal Submodel

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Title: Joint Models with Splines in the Longitudinal Submodel
Author: Silverman, Victoria
Department: Department of Mathematics and Statistics
Program: Mathematics and Statistics
Advisor: Horrocks, JulieDarlington, Gerarda
Abstract: Joint models are used to model data that has both time-to-event and longitudinal components. It is not always reasonable to assume a linear trajectory for longitudinal data, especially data from applications in the biological and medical fields. A spline is a good way to introduce flexibility to account for the non-linearity that is present. This thesis assesses the use of quadratic and cubic B-splines within the longitudinal submodel of a joint model and compares them to a joint model with a longitudinal submodel that only has linear terms. These methods were demonstrated on two datasets from the field of medicine. A simulation study was also conducted to compare three models that employ B-splines in the longitudinal submodel to the traditional linear longitudinal submodel in a joint model. The results of the simulation study suggest that the introduction of B-splines into the longitudinal model marginally impacts results. However, one must be careful not to incorporate too high a degree of B-splines to not over-fit the data. Overall, splines can be a valuable way to incorporate flexibility into joint models.
Date: 2022-12
Rights: Attribution-ShareAlike 4.0 International

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Attribution-ShareAlike 4.0 International Except where otherwise noted, this item's license is described as Attribution-ShareAlike 4.0 International
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