Department of Mathematics, Hong Kong Baptist University, Hong Kong, People's Republic of China.
Stat Med. 2010 Jan 15;29(1):86-96. doi: 10.1002/sim.3738.
We construct several explicit asymptotic two-sided confidence intervals (CIs) for the difference between two correlated proportions using the method of variance of estimates recovery (MOVER). The basic idea is to recover variance estimates required for the proportion difference from the confidence limits for single proportions. The CI estimators for a single proportion, which are incorporated with the MOVER, include the Agresti-Coull, the Wilson, and the Jeffreys CIs. Our simulation results show that the MOVER-type CIs based on the continuity corrected Phi coefficient and the Tango score CI perform satisfactory in small sample designs and spare data structures. We illustrate the proposed CIs with several real examples.
我们使用估计量方差恢复（MOVER）方法构建了几种显式渐近双侧置信区间（CI），用于估计两个相关比例之间的差异。基本思想是从单个比例的置信限中恢复比例差异所需的方差估计。与 MOVER 结合使用的单个比例 CI 估计量包括 Agresti-Coull、Wilson 和 Jeffreys CI。我们的模拟结果表明，基于连续性校正 Phi 系数和 Tango 得分 CI 的 MOVER 型 CI 在小样本设计和稀疏数据结构中表现令人满意。我们用几个实际例子来说明提出的 CI。
