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Biometrika 1971 58(3):555-560; doi:10.1093/biomet/58.3.555
© 1971 by Biometrika Trust
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A regression relationship for multivariate paired comparisons

ROGER R. DAVIDSON1 and RALPH A. BRADLEY2

1University of Victoria British Columbia
2The Florida State University

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.

Key Words: Paired comparisons • Regression relationship • Test of prediction • Maximum likelihood methods • Multivariate binary data • Bahadur representation of binary distributions


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