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Activity Number: 190
Type: Contributed
Date/Time: Monday, August 4, 2008 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #302293
Title: Identifying Statistically Significant Clusters
Author(s): Ranjan Maitra*+ and Volodymyr Melnykov
Companies: Iowa State University and Iowa State University
Address: Department of Statistics, Ames, IA, 50011,
Keywords: EM algorithm ; p-value ; second-order delta method
Abstract:

A formal hypothesis-testing approach is presented for detecting significant clusters in data. The approach revolves on calculating the p-value of forming an additional cluster at each stage. We illustrate our methodology using model-based clustering as an example. In this setting, we can use the second-order delta method and obtain exact p-values for the change in optimized likelihood with each additional cluster. Experiments on simulation and classification datasets are promising.


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Revised September, 2008