Analysis of Contingency Tables Under Cluster Sampling
整群抽样下的列联表分析
The Dirichlet-multinomial distribution is formulated as a model for contingency tables generated by cluster sampling schemes. This model provides an alternative justification for some results of Altham (1976) and enables an extension of her results to the case of unequal cluster sizes. The model also provides a convenient framework for the fitting and testing of general log linear models in contingency tables. The asymptotic distributions of the Pearson and likelihood ratio…