Koch G G, Tolley H D, Freeman J L
Biometrics. 1976 Jun;32(2):337-54.
This paper is concerned with the statistical analysis of situations where the experimental units are clusters of subjects, each of whom is classified with respect to the presence of a particular (binary response) attribute. For this purpose, the clumped binomial probability model is used to define an underlying mean rate parameter in terms of which the effects of certain treatments as well as cluster size itself can be investigated. The resulting methodology involves a synthesis of certain maximum likelihood and weighted least squares procedures; it is illustrated for a three-dimensional contingency table pertaining to numbers of deaths in litters of baby mice.
本文关注的是对实验单位为受试者群体的情况进行统计分析，其中每个受试者都根据特定（二元响应）属性的存在进行分类。为此，使用聚类二项概率模型来定义一个潜在的平均率参数，据此可以研究某些处理的效果以及聚类大小本身。由此产生的方法涉及到某些最大似然法和加权最小二乘法的综合；通过一个与幼鼠窝中死亡数量有关的三维列联表进行了说明。
