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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