May W L, Johnson W D
Department of Preventive Medicine, University of Mississippi Medical Center, Jackson 39216-4505, USA.
J Biopharm Stat. 1998 Mar;8(1):115-30. doi: 10.1080/10543409808835226.
The 2 x 2 table is an invaluable tool for displaying bivariate binary data. It is easy to find examples of correlated binary response in biopharmaceutical experiments and clinical research and analysis of these data is a current research topic. The most common hypothesis tested for 2 x 2 tables of correlated proportions is that of homogeneity of the marginal proportions or, equivalently, the hypothesis of table symmetry. The 2 x 2 table of correlated proportions is rich with information and we present a survey of some of the analyses relevant for these data. Using asymptotic theory, we develop estimators of relevant parameters and associated test statistics that are of interest. We discuss interval estimation using arguments proposed by Quesenberry and Hurst (1) and Goodman (2). These interval estimators do not rely on estimation of the covariance matrix and are not necessarily equivalent to those obtained using modified chi-square statistics.
2×2列联表是展示双变量二元数据的宝贵工具。在生物制药实验和临床研究中，很容易找到相关二元反应的例子，对这些数据的分析是当前的一个研究课题。对于相关比例的2×2列联表，最常检验的假设是边际比例的齐性，或者等价地，表格对称性的假设。相关比例的2×2列联表包含丰富的信息，我们对一些与这些数据相关的分析进行综述。利用渐近理论，我们开发了相关参数的估计量和感兴趣的相关检验统计量。我们使用Quesenberry和Hurst（1）以及Goodman（2）提出的方法讨论区间估计。这些区间估计量不依赖于协方差矩阵的估计，并且不一定等同于使用修正卡方统计量得到的估计量。
