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Activity Number: 421 - Advances in Bayesian Modeling and Inferential Methods
Type: Contributed
Date/Time: Tuesday, July 31, 2018 : 2:00 PM to 3:50 PM
Sponsor: International Society for Bayesian Analysis (ISBA)
Abstract #330584 Presentation
Title: Bayesian Generalized Smoothing Spline ANOVA with Dimension Reduction
Author(s): Chin-I Cheng* and Paul Speckman
Companies: Central Michigan University and University of Missouri-Columbia
Keywords: smoothing spline ANOVA; reproducing kernel; binary response; Poisson response; reduce dimension
Abstract:

Smoothing spline ANOVA extends classical ANOVA models to model nonparametric functions with interaction effects. We generalize the model for binary and Poisson 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 real datasets.


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