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Activity Number: 132
Type: Contributed
Date/Time: Monday, August 3, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #305126
Title: Individual-Level Residual Diagnostics for Bayesian Structural Equation Models
Author(s): Abbie Stokes-Riner*+ and Sally W. Thurston
Companies: University of Rochester and University of Rochester
Address: , Rochester, NY, ,
Keywords: diagnostics ; residuals ; Bayesian ; structural equation model ; latent variable
Abstract:

Structural equation models (SEM) can be a useful tool for studying the effects of multiple correlated exposures on a health outcome measured by multiple outcomes. Recently the use of Bayesian methods for estimating the parameters in SEM has increased, but little attention has been given to examining the assumptions required for SEM. We review existing residual diagnostics used for SEM fit using frequentist methods. Then we define Bayesian residuals for SEM along with posterior-predictive p-values for testing the modeling assumptions. The diagnostics are compared in a simulation study and illustrated with an example from environmental epidemiology.


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