On uncertainty of a proportion from a stratified random sample of a small population

M.S. Hamada, B.L. Mitchell and C.T. Necker

Journal of Applied Statistics, 2015, vol. 42, issue 4, 828-833

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.

Date: 2015
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DOI: 10.1080/02664763.2014.987651

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