MODELS FOR PAIRED COMPARISONS.
Abstract
A central concept in this paper is that of linear model. A model is called linear if the frequency probability with which a subject reports the stimulus X sub 1 as greater than X sub 2 has the form H(t(X sub 1)-t(X sub 2)). Interrelations among various models for paired comparisons are studied. The Thurstone, Bradley-Terry, and Scheffe models are treated as special cases of the general linear model. It is shown that all of these special cases introduce a concept of 'psychological distance between stimuli.' The increase or decrease of the probability of detecting the larger stimulus for linearmodels is shown to depend primarily on t rather than H. The uniqueness of the linear representation of a Bradley-Terry model is discussed. A final section proposes a general model allowing for the response of no apparent difference. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1966
- Accession Number
- AD0639657
Entities
People
- Jagbir Singh
- W. A. Thompson Jr.
Organizations
- Florida State University