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Activity Number: 40
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #306545
Title: Joint Modeling of Binomial and Rank Responses
Author(s): Bradley Barney*+ and Federica Amici and Josep Call and Filippo Aureli and Valen E Johnson
Companies: Kennesaw State University and Max Planck Institute for Evolutionary Anthropology and Max Planck Institute for Evolutionary Anthropology and Liverpool John Moores University and MD Anderson Cancer Center
Address: 118 Woodberry Ct, Woodstock, GA, 30188, United States
Keywords: Latent Variable ; Bayesian ; Intelligence ; Discrepancy Measure
Abstract:

Many methods exist for analyzing a collection of binomial responses, and various methods exist for analyzing rank responses. In order to achieve a parsimonious inference when data of both types have been collected, it is critical to jointly model both response types. We present techniques for joint modeling of binomial and rank response data using the Bayesian paradigm for inference. The motivating application consists of results from a series of assessments on several primate species. Among 17 assessments assigned to 4 domains, 3 are considered to have a rank response and the remaining 14 are considered to have a binomial response. In order to model binomial and rank outcomes simultaneously, we adopt the popular technique of data augmentation with latent variables. We also specify how candidate random effect models for the latent variables may be parsimoniously constructed to allow a simple and consistent prior specification for models with differing numbers of random effects. We compare various random effect models using discrepancy measures. In addition to presenting the methodology, we illustrate its application to primate intelligence data.


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