Rao J N, Scott A J
Department of Mathematics, Carleton University, Ottawa, Ontario, Canada.
Biometrics. 1992 Jun;48(2):577-85.
A simple method for comparing independent groups of clustered binary data with group-specific covariates is proposed. It is based on the concepts of design effect and effective sample size widely used in sample surveys, and assumes no specific models for the intracluster correlations. It can be implemented using any standard computer program for the analysis of independent binary data after a small amount of preprocessing. The method is applied to a variety of problems involving clustered binary data: testing homogeneity of proportions, estimating dose-response models and testing for trend in proportions, and performing the Mantel-Haenszel chi-squared test for independence in a series of 2 x 2 tables and estimating the common odds ratio and its variance. Illustrative applications of the method are also presented.
提出了一种用于比较具有组特异性协变量的独立聚类二元数据组的简单方法。它基于样本调查中广泛使用的设计效应和有效样本量的概念，并且不假设聚类内相关性的特定模型。经过少量预处理后，可使用任何标准计算机程序对独立二元数据进行分析来实现该方法。该方法应用于各种涉及聚类二元数据的问题：检验比例的同质性、估计剂量反应模型和检验比例趋势，以及在一系列2×2表中进行Mantel-Haenszel卡方独立性检验并估计共同优势比及其方差。还给出了该方法的示例应用。
