DOI

10.17077/etd.s04890lu

Document Type

Dissertation

Date of Degree

Spring 2016

Degree Name

PhD (Doctor of Philosophy)

Degree In

Biostatistics

First Advisor

Oleson, Jacob J.

First Committee Member

Cavanaugh, Joseph E.

Second Committee Member

Foster, Eric D.

Third Committee Member

Zamba, Gideon K.D.

Fourth Committee Member

McMurray, Bob

Abstract

The visual world paradigm is a tool that is widely used in the field of psycholinguistics to help investigate how people listen and understand words and sentences. Proportions of fixations to several different objects are recorded for a number of subjects, over a specific time period. Researchers have found it difficult to find models that can incorporate multiple random effects, account for the correlated nature of the data, and simultaneously fit multiple fixation curves/groups. We have taken a Bayesian hierarchical modeling approach for this multivariate non-linear longitudinal data. Within in this framework, we look at both parametric and nonparametric approaches in simultaneously modeling multiple curves. Finally, we will look at different comparison techniques to compare these curves under a Bayesian framework.

Public Abstract

Researchers from many fields have found it difficult to fit statistical models that can incorporate multiple random effects, account for the correlated nature of the data, and simultaneously fit and compare multiple groups. In this dissertation, we have taken a Bayesian hierarchical modeling approach for this multivariate non-linear longitudinal data problem. Within this framework, we develop both parametric and nonparametric approaches in simultaneously modeling multiple longitudinal curves. Finally, we put forth comparison techniques to allow for a between group comparison of group curves under the Bayesian framework. The work is motivated from the visual world paradigm which is a tool that is widely used in the field of psycholinguistics to help investigate how people listen and understand words and sentences. Proportions of fixations to several different objects are recorded for a number of subjects, over a specific time period. Within this dissertation is the model development, demonstrations of the ability of the model via simulation, and answers to scientific research questions from visual world paradigm data.

Pages

xi, 144 pages

Bibliography

Includes bibliographical references (pages 139-140).

Copyright

Copyright © 2016 Melissa Anna Maria Pugh

Included in

Biostatistics Commons

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