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Activity Number: 140
Type: Contributed
Date/Time: Monday, August 5, 2013 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #309931
Title: Bayesian Smoothing Spline ANOVA for Binary Response with Dimension Reduction
Author(s): Chin-I Cheng*+ and Paul Speckman
Companies: and Univ. of Missouri-Columbia
Keywords: smoothing spline ANOVA ; reproducing kernel ; binary response ; reduce dimension ; scaled chi-squared prior
Abstract:

Smoothing spline ANOVA extends classical ANOVA models to model nonparametric functions with interaction effects. We generalize the model for binary response. The suitable priors are chosen for testing all of the components in the model. The dimension reduction is adapted to facilitate the computation. The effective computation enables us to obtain the Bayes factors for variable selection easily. The methods are illustrated using a real dataset collected from the Wisconsin Epidemiological Study of Diabetic Retinopathy.


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