Date of Award

2022-12-01

Degree Name

Master of Science

Department

Statistics

Advisor(s)

Amy Wagler

Abstract

Graph theory modeling is a common modeling approach in neurobiology research studies. These models are useful since they describe patterns of connection for regions of interest in the brain using resting state fMRI images. The standard rule of thumb is to threshold the observed activation levels prior to model building. It is reasonable to assume that the use of this threshold affects the statistical distribution of commonly reported centrality metrics from the graph theory model, such as degree, betweenness, and closeness. In this study we examine the differential effect of using the standard approaches versus alternative direct thresholds and incorporation of thresholds through soft and hard covariance estimation. Along with the way it is viewed we care about the way we preprocess the data. Results indicate that direct thresholding is a more reliable preprocessing strategy, but soft thresholding of the covariance matrix may be a promising alternative in particular settings.

Language

en

Provenance

Received from ProQuest

File Size

49 p.

File Format

application/pdf

Rights Holder

Hortencia Josefina Hernandez

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