A regression relationship for multivariate paired comparisons

SUMMARY In two previous papers, a model for multivariate paired comparisons was proposed and the associated methodology and large-sample properties were developed. The present study considers the problem of relating the response pattern on overall quality to that on a specified set of attributes. A regression equation is derived for a joint distribution of responses to dichotomous items and is applied to the multivariate paired comparison model. A test of the significance of the responses to specified attributes in estimating the responses to overall quality is presented.