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Activity Number: 133
Type: Topic Contributed
Date/Time: Monday, August 7, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods
Abstract - #305980
Title: Hierarchical and Empirical Bayesian Analysis of Bivariate Binary Data: an Application to Small-Area Estimation
Author(s): Ananya Roy*+ and Malay Ghosh
Companies: University of Florida and University of Florida
Address: Department of Statistics, Gainesville, FL, 32611,
Keywords: estimating functions ; infant mortality rates ; mean squared error ; second order correct
Abstract:

This paper addresses small-area estimation problems when the response is bivariate binary. Empirical Bayes estimators of small-area means are provided and the associated asymptotic mean squared errors and estimated mean squared errors found. The results are applied to the analysis of a real dataset, and the superiority of the empirical Bayes estimators over the direct estimators is established. We also provide a hierarchical Bayesian analysis and compare our results.

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