Homogeneity tests and interval estimations of the risk difference between two groups are of general interest under paired Bernoulli settings with the presence of stratification effects. Dallal [1] proposed a model by parameterizing the probability of an occurrence at one site given an occurrence at the other site. Based on this model, we propose three test statistics and evaluate their performances regarding type I error controls and powers. Confidence intervals of a common risk difference with satisfactory coverage probabilities and interval length are constructed. Our simulation results show that the score test is the most robust and the profile likelihood confidence interval outperforms other methods proposed. Data from a study of acute otitis media is used to illustrate our proposed procedures.

翻译：在存在分层效应的配对伯努利设定下，两组间风险差异的同质性检验与区间估计具有广泛的实际意义。Dallal [1] 通过参数化一个位点发生事件时另一位点发生事件的概率提出了一种模型。基于该模型，我们提出了三种检验统计量，并评估了它们在Ⅰ类错误控制和检验效能方面的表现。构建了具有满意覆盖概率和区间长度的共同风险差异的置信区间。模拟结果表明，得分检验最为稳健，而轮廓似然置信区间优于其他提出的方法。一项急性中耳炎研究的数据被用于说明我们提出的程序。