Ryu, Duchwan D.
Ph.D. (Doctor of Philosophy)
Department of Mathematical Sciences
Functional Data Analysis is often used in the study of data that exists over a continuum, such as time. There are two datasets that will be considered here. For the first study we have a dataset on the efficacy of a lobectomy in reduction or elimination of epileptic seizures in patients. After an initial analysis of the dataset from a multinomial model perspective, we found that there were outliers in our dataset. From there, we considered a Multinomial Mixture Model to aid in the detection of outliers. In our second dataset we are considering a social robotics dataset where the purpose is to aid in the integration of students from diverse backgrounds into US school systems. We use Univariate Functional Data Analysis on our dataset before moving on to consider Multivariate Functional Data Analysis with the addition of Seemingly Unrelated Regression to our analysis and estimation of our Bayesian Estimates.
Kane, Kacy D., "Applications for Functional Data Analysis" (2023). Graduate Research Theses & Dissertations. 7154.
Northern Illinois University
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