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Another Interpretation of a Model for Paired Comparisons

Published online by Cambridge University Press:  01 January 2025

Ralph A. Bradley
Ralph A. Bradley*
Affiliation:
Florida State University
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Abstract

The first contribution of this paper is to demonstrate that the paired-comparison model may be derived from a variety of different initial assumptions about the nature of paired comparisons, some of these assumptions appearing to the author to be more appropriate to a description of the preference-decision process than others. The second contribution of this paper is to note that the generalization of the model to triple comparisons chosen earlier is not the one compatible with the Lehmann model even though it possesses other desirable properties. Limited numerical calculations suggest that both models for triple comparisons give comparable results in applications. Their asymptotic properties should be similar.

Information

Type
Original Paper
Information
Psychometrika , Volume 30 , Issue 3 , September 1965 , pp. 315 - 318
Copyright
Copyright © 1965 Psychometric Society

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Footnotes

*

Research supported by the Office of Naval Research contract number Nonr-988108, Task Order NR042-004. Reproduction in whole or in part is permitted for any purpose of the United States Government.

References

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