The Analysis of Variance and Pairwise Scaling
- 1 March 1967
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 32 (1) , 47-65
- https://doi.org/10.1007/bf02289404
Abstract
Variance analyses are presented for two data layouts—each corresponding to the class of all ordered pairs from a single finite set. The analysis of the dominance layout is in terms of a fixed effects linear model which includes parameters representing the scale values of the elements of the set, response bias, and pairwise interactions. A parallel parametrization is carried out for the composition layout for which corresponding point estimates and hypothesis tests are given. A joint treatment of concurrently observed dominance and composition layouts is suggested and illustrative data are presented.Keywords
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