ABSTRACT
Chapter 7 presented models based on paired and higher-order comparisons of objects, and Chapter 8 looked at multistage models in which the choice of object at a given stage could depend on the results of previous stages. In both chapters, hierarchies of models resulted from more complicated comparisons or dependencies. This chapter starts with the Marginals model, that is, the exponential family model with the Marginal counts, the numbers of judges who give rank j to Object i for each i, j, as sufficient statistic. The model can also be approached as a quasi-independence model analogous to the independence model in contingency table analysis. The objects are the factors, and the ranks are the levels within each factor. The "quasi" is due to the presence of many structural zeroes in the resulting contingency table.
