A Dual Scaling Analysis for Paired Compositions
- 1 June 1971
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 36 (2) , 135-154
- https://doi.org/10.1007/bf02291394
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
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