ABSTRACT

With recent developments in computer power the application of exact inferential methods has become more feasible which has resulted in increasing popularity of these approaches. However, there is a lack of such methodology for populations with more complex structure, such as finite populations. When a small sample is drawn from a finite population, the number of individuals with a specific characteristic of interest follows hypergeometric distribution. In order to test for the comparison of two proportions in finite populations we develop an exact unconditional test. We utilize the information gained from the sample to restrict our search for the maximum p-value. Our proposed test has power equal to its competitors while maintains the pre-specified nominal significance level.

摘要

随着计算机能力的最新发展，精确推理方法的应用变得更加可行，这导致这些方法越来越受欢迎。然而，对于结构更复杂的群体，如有限群体，缺乏这种方法。当从有限人口中抽取小样本时，具有特定兴趣特征的个体数量遵循超几何分布。为了测试有限总体中两个比例的比较，我们开发了一个精确的无条件测试。我们利用从样本中获得的信息来限制我们对最大p值的搜索。我们建议的测试具有与其竞争对手相等的功效，同时保持预先指定的名义显着性水平。