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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 427
Type: Contributed
Date/Time: Wednesday, August 1, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods
Abstract - #310130
Title: Parametric Bootstrap Confidence Interval in a Small-Area Estimation Problem
Author(s): Huilin Li*+ and Partha Lahiri
Companies: University of Maryland and University of Maryland
Address: Rm. 4315 Math Building, College Park, MD, 20740,
Keywords: Parametric Bootstrap ; confidence interval ; small area estimation ; Fay-Herriot model ; ADM estimator
Abstract:

In this paper, we developed the theory of using ADM variance estimator in a parametric bootstrap method in constructing confidence intervals of small area means. Using a Monte Carlo simulation study, we first investigate the performance of different variance component methods in the parametric bootstrap confidence interval, and then we compare our method with different rival methods in terms of coverage probabilities and average lengths. We then demonstrate the utility of the parametric bootstrap method by analyzing several real life datasets.


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Revised September, 2007