Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong.
Stat Methods Med Res. 2012 Aug;21(4):361-78. doi: 10.1177/0962280210384714. Epub 2010 Sep 27.
In this article, we consider confidence interval construction for proportion ratio in paired samples. Previous studies usually reported that score-based confidence intervals consistently outperformed other asymptotic confidence intervals for correlated proportion difference and ratio. However, score-based confidence intervals may not possess closed-form solutions and iterative procedures are therefore required. This article investigates the problem of confidence interval construction for ratio of two correlated proportions based on a hybrid method. Briefly, the hybrid method simply combines two separate confidence intervals for two individual proportions to produce a hybrid confidence interval for the ratio of the two individual proportions in paired studies. Most importantly, confidence intervals based on this hybrid method possess explicit solutions. Our simulation studies indicate that hybrid Wilson score confidence intervals based on Fieller's theorem performs well. The proposed confidence intervals will be illustrated with three real examples.
在本文中，我们考虑了配对样本中比例比的置信区间构建。以前的研究通常报告说，基于得分的置信区间对于相关比例差和比的置信区间始终优于其他渐近置信区间。然而，基于得分的置信区间可能没有闭式解，因此需要迭代过程。本文探讨了基于混合方法的两个相关比例比置信区间构建的问题。简而言之，混合方法只是将两个独立比例的两个单独置信区间组合起来，以生成配对研究中两个个体比例比的混合置信区间。最重要的是，基于这种混合方法的置信区间具有显式解。我们的模拟研究表明，基于 Fieller 定理的混合 Wilson 得分置信区间表现良好。将通过三个实际示例来说明所提出的置信区间。
