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Activity Number:
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279
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Type:
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Contributed
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Date/Time:
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Tuesday, August 8, 2006 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Survey Research Methods
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| Abstract - #306467 |
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Title:
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A Pseudo-Empirical Likelihood Approach for Stratified Samples with Nonresponse
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Author(s):
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Fang Fang*+ and Quan Hong and Jun Shao
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Companies:
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University of Wisconsin-Madison and Eli Lilly and Company and University of Wisconsin-Madison
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Address:
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Department of Statistics, Madison, WI, 53706,
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Keywords:
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nonresponse ; empirical likelihood ; stratified samples
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Abstract:
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Nonresponse is common in surveys. When the response probability of a survey variable Y is conditionally independent of Y given an observed auxiliary categorical variable Z, a simple method often used in practice is to use Z categories as imputation cells and construct estimators by imputing nonrespondents or re-weighting respondents within each imputation cell. This simple method, however, is inefficient when some Z categories have small sizes. Assuming a parametric model on the conditional probability of Z given Y and a nonparametric model on the distribution of Y, we develop a pseudo empirical likelihood method to provide more efficient survey estimators. Asymptotic distributions for estimators of population means are derived. For variance estimation, we consider a bootstrap procedure and its consistency is established. Some simulation results are provided.
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