Date of Completion

8-6-2013

Embargo Period

8-6-2015

Keywords

Clustering, Model selection, LASSO

Major Advisor

Zhiyi Chi

Associate Advisor

Nalini Ravishanker

Associate Advisor

Lynn Kuo

Field of Study

Statistics

Degree

Doctor of Philosophy

Open Access

Campus Access

Abstract

In this study, we propose a cluster analysis method based on functional relationship between response variables and covariates. We assume the model with functional relationship specific to group c between variable y and covariate x as

y = G(g(x, beta_c), epsilon)

where random variable epsilon follows a group-specific distribution D(theta_c). We discuss several scenarios of the proposed model and error rates in the context of classification. Numerical examples are also given in this dissertation as well as the reference implementations in the appendix.

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