Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

5-2015

Committee Chair or Co-Chairs

Edith Seier

Committee Members

Michele Joyner, Yali Liu

Abstract

This work discusses alternative methods to detect outliers in spatial point patterns.

Outliers are defined based on location only and also with respect to associated variables. Throughout the thesis we discuss five case studies, three of them come from experiments with spiders and bees, and the other two are data from earthquakes in a certain region. One of the main conclusions is that when detecting outliers from the point of view of location we need to take into consideration both the degree of clustering of the events and the context of the study. When detecting outliers from the point of view of an associated variable, outliers can be identified from a global or local perspective. For global outliers, one of the main questions addressed is whether the outliers tend to be clustered or randomly distributed in the region. All the work was done using the R programming language.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

Included in

Mathematics Commons

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