JSM 2005 - Toronto

Abstract #303101

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 51
Type: Invited
Date/Time: Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #303101
Title: Estimation of Prevalence of Overweight in Small Areas: A Robust Extension of Fay-Herriot Model
Author(s): Dawei Xie*+
Companies: University of Pennsylvania
Address: 617 Blockley Hall, Philadelphia, PA, 19104, United States
Keywords: Hierarchical Bayesian model ; Complex Sample Survey ; linear mixed effect model
Abstract:

Hierarchical model such as Fay-Herriot (FH) often is used to develop small-area estimates. It might perform well overall, but it's vulnerable to outliers. We propose two ways to detect outliers under the FH model. One is the posterior predictive distribution approach; the other uses a half-normal plot. We then propose a robust extension of Fay-Herriot model that assumes the area random effects follow a t-distribution with an unknown degree of freedom. The inference is done in a Bayesian framework. Markov chain Monte Carlo (MCMC) such as Gibbs sampling and Metropolis-Hastings acceptance and rejection algorithms is used to obtain the posterior distribution of small-area estimates and model parameters. The differences between the estimates from the FH model and the t model are discussed. The procedure is illustrated in obtaining the prevalence of overweight for the state of Alaska, District of Columbia, and 1,051 counties identified in the public use Behavioral Risk Factor Surveillance System (BRFSS) data for 2003.


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