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Activity Number: 460
Type: Topic Contributed
Date/Time: Wednesday, August 9, 2006 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #305717
Title: Model-Based Clustering in a Brook Trout Classification Study within the Eastern United States
Author(s): Huizi Zhang*+ and Samantha C. Prins and Eric P. Smith
Companies: Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University
Address: Department of Statistics, 1216 University City Blvd., Blacksburg, VA, 24060,
Keywords: model-based clustering ; Voronoi tessellations ; stressor-response ; classification ; brook trout
Abstract:

Cluster analysis is a commonly used technique on multivariate data that aims to group objects into clusters such that objects are similar within each cluster and dissimilar between different clusters. We developed a model-based clustering method for analysis of ecological data that groups objects by their empirical stressor-response relationship, rather than their attribute values, using Voronoi tessellations to find the optimal grouping solution. In particular, we extended the Voronoi approach to deal with categorical response data. This required the development of appropriate optimality criteria. This method is applied to a carefully compiled dataset of Brook trout presence/absence within the eastern United States. Results indicate fairly strong relationships that vary spatially.


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