ABSTRACT

Measurements are generally collected as unilateral or bilateral data in clinical trials or observational studies. For example, in ophthalmologic studies, statistical tests are often based on one or two eyes of an individual. For the bilateral data, recent literatures have shown some test procedures that take into account the intraclass correlation between paired organs of the same person. Ma et al. investigated three test procedures under Rosner’s model. In this paper, we extend Ma’s work for bilateral data to combined bilateral and unilateral data. The proposed procedures are based on the likelihood estimate algorithm derived from the root of 4th order polynomial equations and the Fisher scoring iterations. Simulation studies are performed to compare the testing procedures under different parameter configurations. The result shows that score test has satisfactory type I error rates and powers. Therefore, we recommend score test for testing the homogeneity of proportions. We illustrate the application of the proposed methods with two real world examples.

摘要

在临床试验或观察性研究中，测量值通常作为单边或双边数据收集。例如，在眼科研究中，统计测试通常基于一个人的一只或两只眼睛。对于双边数据，最近的文献显示了一些考虑到同一个人配对器官之间的类内相关性的测试程序。马等人。研究了 Rosner 模型下的三个测试程序。在本文中，我们将马的双边数据工作扩展到双边和单边数据的结合。所提出的程序基于从四阶多项式方程的根和Fisher 评分迭代导出的似然估计算法。执行模拟研究以比较不同参数配置下的测试程序。结果表明，分数测试具有令人满意的I类错误率和能力。因此，我们建议使用分数测试来测试比例的同质性。我们用两个真实世界的例子来说明所提出方法的应用。