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

机译:关于少量人口分层随机样本中比例的不确定性

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摘要

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.
机译:本文根据少量总体的分层随机样本来考虑比例的不确定性。使用超几何分布,给出了Clopper-Pearson类型的置信上限。还考虑了使用比例估计器的估计方差的另一种常客方法以及贝叶斯替代方法。这些方法通过一个说明性示例进行演示。通过模拟研究,研究了计划的某些方面,即指定的分层样本数量对不确定性的影响。

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