Homogeneity Test for Correlated Binary Data

Document Type

Article

Publication Date

4-21-2015

Publication Title

PLOS One

Volume

10

Issue

4

First page number:

e0124337

Abstract

In ophthalmologic studies, measurements obtained from both eyes of an individual are often highly correlated. Ignoring the correlation could lead to incorrect inferences. An asymptotic method was proposed by Tang and others (2008) for testing equality of proportions between two groups under Rosner's model. In this article, we investigate three testing procedures for general g ≥ 2 groups. Our simulation results show the score testing procedure usually produces satisfactory type I error control and has reasonable power. The three test procedures get closer when sample size becomes larger. Examples from ophthalmologic studies are used to illustrate our proposed methods.

Keywords

Eyes; Test statistics; Retinitis pigmentosa; Blindness; Monte Carlo method; Polynomials; Statistical distributions; Randomized controlled trials

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