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

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  • M.S. Hamada
  • B.L. Mitchell
  • C.T. Necker

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.

Suggested Citation

  • M.S. Hamada & B.L. Mitchell & C.T. Necker, 2015. "On uncertainty of a proportion from a stratified random sample of a small population," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(4), pages 828-833, April.
    • Handle: RePEc:taf:japsta:v:42:y:2015:i:4:p:828-833
    DOI: 10.1080/02664763.2014.987651
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