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A Dual Scaling Analysis for Paired Compositions

Published online by Cambridge University Press:  01 January 2025

Gordon G. Bechtel
Gordon G. Bechtel*
Affiliation:
Oregon Research Institute
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Abstract

A paired composition is a response (upon a dependent variable) to the ordered pair <j, k> of stimuli, treatments, etc. The present paper develops an alternative analysis for the paired compositions layout previously treated by Bechtel's [1967] scaling model. The alternative model relaxes the previous one by including row and column scales that provide an expression of bias for each pair of objects. The parameter estimation and hypothesis testing procedures for this model are illustrated by means of a small group analysis, which represents a new approach to pairwise sociometrics and personality assessment.

Keywords

Parameter EstimationSmall GroupPublic PolicyHypothesis TestingTesting Procedure
Type
Original Paper
Information
Psychometrika , Volume 36 , Issue 2 , June 1971 , pp. 135 - 154
Copyright
Copyright © 1971 The Psychometric Society

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Footnotes

*

This study was supported by Grant Nos. MH 12972, MH 10822, and MH 15506 from the National Institute of Mental Health, U. S. Public Health Service. Computing assistance was obtained from the Health Sciences Computing Facility, UCLA, sponsored by N.I.H. special research resources Grant RR-3.

The motivation of this effort has been enhanced by Gerald Patterson and his associates, who have kindly provided the illustrative data at the end of the paper. The author would also like to express his appreciation to Wei-Ching Chang of the Oregon Research Institute and the University of Oregon for his substantive contributions to the paper, and to William Chaplin and Mark Layman of the Oregon Research Institute for the programming of the data analytic method. FORTRAN IV program listings for this analysis are available upon request to the author.

References

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