Analysis of Grouped Data from Multinomial Populations
研究了从m个因子中独立选择r个的多项分布问题，将单元格计数分组为m个重叠组，并给出了检验分组概率假设的大样本理论，适用于列联表同质性检验。
Abstract This article deals with a problem in which n independent choices are made of r out of m factors, resulting in a multinomial distribution with (rm ) cells. The interest centers on the number of times each factor is chosen. This leads to a grouping of the cell counts into m overlapping groups. As the groups overlap, the distribution of the group counts is not multinomial. A large sample theory is given for testing various hypotheses regarding the grouped-cell probabilities, similar to the hypotheses that arise for testing homogeneity of parallel samples in a contingency table.