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Estimating a proportion when sampling from a subpopulation

 

作者: Samuel D. Oman,  

 

期刊: Communications in Statistics - Simulation and Computation  (Taylor Available online 1980)
卷期: Volume 9, issue 1  

页码: 81-101

 

ISSN:0361-0918

 

年代: 1980

 

DOI:10.1080/03610918008812139

 

出版商: Marcel Dekker, Inc.

 

关键词: Bayesian;Berkson's fallacy;binomial;target population

 

数据来源: Taylor

 

摘要:

The problem of estimating a population proportion when only a subpopulation may be sampled is considered. This is a simplified version of a problem which arises when testing for the association between a risk factor and a disease by analyzing a contingency table constructed from, hospital data. The proportion for the subpopulation, is expressed in terms of the population proportion and a nuisance parameter in such a way that the model is unfortunately not identifiable. A Bayesian procedure is developed which may be used, however, if one is willing to make certain assumptions about the nuisance parameter. As an illustration the procedure is used with a particular prior to obtaina posterior confidence interval for the population proportion. The coverage probabilities of the interval for various fixed values of the parameters are then evaluated.

 

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