
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, BradleyTerry, 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 BradleyTerry 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