An Incomplete Contingency Table Approach to Paired-Comparison Experiments

A wide variety of paired-comparison experiments and surveys may be viewed within the framework of “incomplete” contingency table analysis. Bradley-Terry models for such data can be chosen and further examined by a noniterative logit analysis. Multivariate paired comparisons with factor structure can be analyzed through reparameterization of the underlying models for each combination of factor levels. The method is subject to sample-size restrictions but allows the experimenter to design his survey without complex symmetry conditions or independence assumptions.