Accession Number:

AD0639657

Title:

MODELS FOR PAIRED COMPARISONS.

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

Report Date:

1966-07-01

Pagination or Media Count:

16.0

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 HtX sub 1-tX 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

Subject Categories:

  • Psychology
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE