On uncertainty of a proportion from a stratified random sample of a small population |
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Authors: | MS Hamada BL Mitchell CT Necker |
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Institution: | Los Alamos National Laboratory, Los Alamos, NM, USA |
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Abstract: | This article considers the uncertainty of a proportion based on a stratified random sample of a small population. Using the hypergeometric distribution, a Clopper–Pearson type upper confidence bound is presented. Another frequentist approach that uses the estimated variance of the proportion estimator is also considered as well as a Bayesian alternative. These methods are demonstrated with an illustrative example. Some aspects of planning, that is, the impact of specified strata sample sizes, on uncertainty are studied through a simulation study. |
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Keywords: | Bayesian Clopper–Pearson frequentist hypergeometric distribution simultaneousinference upper confidence bound variance |
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