Lipsitz S R, Kim K, Zhao L
Department of Biostatistics, Dana-Farber Cancer Institute, Boston, MA 02115.
Stat Med. 1994 Jun 15;13(11):1149-63. doi: 10.1002/sim.4780131106.
Moment methods for analysing repeated binary responses have been proposed by Liang and Zeger, and extended by Prentice and Zhao and Prentice. In these estimating equations, models are proposed for the correlation between the repeated binary responses. We extend Liang and Zeger's method to models for the correlation between repeated nominal or ordinal categorical responses; in particular, when the repeated responses are binary, our methods reduce to Liang and Zeger's method. Our method is illustrated with two datasets. One dataset contains repeated observations of self-assessment of arthritis, an ordered variable with three categories, collected during a randomized comparative study of alternative treatments of patients with rheumatoid arthritis. The second dataset is a longitudinal study of the health effects of air pollution, in which the repeated ordered multinomial response is the wheezing status (no wheeze, wheeze with cold, wheeze apart from cold) of a child at ages 9, 10, 11 and 12 years.
梁和泽格提出了用于分析重复二元反应的矩方法，并由普伦蒂斯、赵以及普伦蒂斯进行了扩展。在这些估计方程中，针对重复二元反应之间的相关性提出了模型。我们将梁和泽格的方法扩展到用于重复名义或有序分类反应之间相关性的模型；特别地，当重复反应为二元反应时，我们的方法可简化为梁和泽格的方法。我们用两个数据集对我们的方法进行了说明。一个数据集包含对关节炎自我评估的重复观察，这是一个有三个类别的有序变量，是在类风湿性关节炎患者替代治疗的随机对照研究中收集的。第二个数据集是一项关于空气污染对健康影响的纵向研究，其中重复的有序多项反应是一名儿童在9岁、10岁、11岁和12岁时的喘息状态（无喘息、感冒时喘息、非感冒时喘息）。
