JSM 2005 - Toronto

Abstract #302930

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 92
Type: Topic Contributed
Date/Time: Monday, August 8, 2005 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #302930
Title: Bayesian Regression Models of Nonignorable Nonresponse
Author(s): Jai W. Choi*+ and Balgobin Nandram
Companies: National Center for Health Statistics and Worcester Polytechnic Institute
Address: ORM, 3311 Belcrest Road, Hyattsville, 20782,
Keywords: Hierarchical Bayesian ; Nonignorable nonresponse ; Regression ; Two-way table ; Small area
Abstract:

The study of obesity is of considerable current interest as the Surgeon General reported. Most scientists use body mass index (BMI) to measure obesity, and we analyze BMI data from the Third National Health and Nutrition Examination Survey (NHANES III), which assesses a status of health of the U.S. population. However, because a considerable number of the children and adolescents we study did not respond, there can be serious bias in inference. To analyze the BMI data, we extend a normal-logistic regression model used for the analysis of nonignorable nonresponse data within the selection approach, but it assumes there is no correlation across the units. Thus, we develop a new hierarchical Bayes selection model to analyze data from several areas, and it is used to analyze poststratified BMI data by age, race, and gender within county in NHANES III. Our objective is to predict the finite population mean BMI and the proportion of respondents for domains formed by age, race, and gender in 35 large counties, accounting for these nonrespondents.


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Revised March 2005