Psychometrika

, Volume 32, Issue 1, pp 47–65 | Cite as

The analysis of variance and pairwise scaling

  • Gordon G. Bechtel
Article

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

Linear Model Fixed Effect Public Policy Hypothesis Test Variance Analysis 

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Copyright information

© Psychometric Society 1967

Authors and Affiliations

  • Gordon G. Bechtel
    • 1
  1. 1.Oregon Research InstituteUSA

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