Abstract
This chapter focuses on the incomplete contingency tables in which some cells are ignored. The cells may be ignored because they are unobserved, because they pertain to events that cannot occur, or because they are unusual in other respects. Incomplete tables can also arise in multinomial response problems. In a quasi-independence model, the row marginal totals ▪ for the table of estimated means ▪j are equal to the observed row marginal totals ▪ of the table, and the column marginal totals ▪ for the table of estimated means are equal to the observed column marginal totals njB. Analysis of incomplete multi-way tables by hierarchical models is quite similar to the analysis of complete multi-way tables by hierarchical models. Occasional new complications involve difficulties in the determination of degrees of freedom for chi-square statistics and in the estimation of λ-parameters. If the λ-parameters are not uniquely determined by the cell means that are positive, then interpretation of parameters may become quite complex.
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