Accession Number : AD0639657

Title :   MODELS FOR PAIRED COMPARISONS.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Thompson,W. A. , Jr. ; Singh,Jagbir

Report Date : JUL 1966

Pagination or Media Count : 16

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)

Descriptors :   (*MATHEMATICAL MODELS, *PSYCHOLOGICAL TESTS), CONDITIONED RESPONSE, REACTION(PSYCHOLOGY), PERCEPTION, PROBABILITY

Subject Categories : Psychology
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE