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Activity Number: 150
Type: Contributed
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #306514
Title: The Average Effects of Misspecified Models and Diffuse Interaction Models
Author(s): Juxin Liu*+ and Paul Gustafson
Companies: The University of British Columbia and The University of British Columbia
Address: Room 333, 6365 Agricultural Road, Vancouver, BC, V6T 1Z2, Canada
Keywords: average effect ; interaction ; diffuse interaction model
Abstract:

In an observational study exploring the association between a health outcome and numerous risk factors, how to measure and interpret interactions amongst the risk factors has been the subject of a lively debate. We consider two aspects of this issue. First, what happens if we fit the data, actually generated from a pairwise interaction model, by an additive model? Here we pay special attention to the average effect of an individual risk factor, i.e., averaged over the joint distribution of the other risk factors. Second, we consider diffuse interaction models, as proposed by Gustafson, Kazi and Levy (2005). We compare this interaction model and a pairwise interaction model in terms of their abilities to detect interaction effects at a given sample size.

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