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Activity Number: 253
Type: Contributed
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #304830
Title: Investigating the General Guidelines for Modeling Extra-Dispersed Proportion Data Based on Some Completing Proportion Models
Author(s): Krishna Saha*+
Companies: Central Connecticut State University
Address: 1615 Stanley Street, New Britain, CT, 06050, United States
Keywords: Beta-binomial ; correlated beta-binomial ; correlated binomial ; double binomial ; over-dispersion ; toxicological data

Proportion data occurring in many applied fields exhibit extra-variation predicted by a simple binomial model. For modeling extra-dispersed proportions, many authors have introduced several alternative extra-dispersed proportion models. With real-life data, a practical problem is deciding how to select one out of a wide variety of candidate models. In this paper, we aim to solve this problem in terms of real-life data occurring in a toxicological study. We discuss the model selection issues using a variety of standard model selection approaches. Moreover, a parametric bootstrap approach of model evaluation using a Mahalanobis squared distance proposed by Allcroft and Glasbey ({\it Statistical Modelling}, 2003) is applied.

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