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Activity Number:
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427
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Type:
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Contributed
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Date/Time:
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Wednesday, August 1, 2007 : 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 - #309228 |
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Title:
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One-Sided Coverage Intervals for the Extreme Binomial Proportion Under Complex Sample Design
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Author(s):
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Yan Liu*+ and Phillip S. Kott
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Companies:
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Internal Revenue Service and USDA National Agricultural Statistics Service
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Address:
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Statistics of Income, P O Box 2608, Washington, DC, 20013,
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Keywords:
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binomial proportion ; continuity correction ; coverage interval ; coverage probability ; effective sample size ; stratified sample design
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Abstract:
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The interval estimation of a binomial proportion is difficult, especially when the proportion is extreme (very small or very large) compared to the sample size. Most of the methods proposed in the literature implicitly assume simple random sampling. These interval-estimation methods are not immediately applicable to data derived from a complex sample design. Some recent papers have addressed this problem, proposing modifications for complex samples. Matters are further complicated when a one-sided coverage interval is desired. This paper provides an extensive review of methods for constructing coverage intervals of a binomial proportion under both simple random and complex sample designs. It also evaluates the empirical performances of different methods for constructing one-sided coverage intervals for an extreme proportion under stratified simple random sampling.
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