Testing equality of proportions for correlated binary data in ophthalmologic studies

In ophthalmologic studies, bilateral correlated data often arise when information involving paired organs (e.g., eyes) are measured from each subject. Adjusted chi-square approach for testing the equality of proportions has been proposed in the literature. In this article, we investigate and derive three alter- native testing procedures for the problem. Our simulation results show the score testing procedure usually produces satisfactory type I error control with higher power, and therefore is recommended. Examples from ophthalmologic studies are used to illustrate our proposed methods.