Accession Number : AD0685598

Title :   MULTIVARIATE PAIRED COMPARISONS: THE EXTENSION OF A UNIVARIATE MODEL AND ASSOCIATED ESTIMATION AND TEST PROCEDURES.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Davidson,Roger R. ; Bradley,Ralph A.

Report Date : OCT 1968

Pagination or Media Count : 25

Abstract : The study is concerned with the development of an extension of the Bradley-Terry Model for paired comparisons to situations in which responses to paired comparisons are obtained on each of several characteristics. At the outset a probability model for multivariate paired comparisons is proposed that may be represented in several distinct ways. An iterative procedure for obtaining maximum likelihood estimates of the parameters introduced into the model is given and its behavior examined in some detail. It is observed that the procedure generally performed well, the key to this conclusion being the relative stability of the initial estimates of the preference parameters.

Descriptors :   (*MULTIVARIATE ANALYSIS, CORRELATION TECHNIQUES), PROBABILITY, ITERATIONS, ANALYSIS OF VARIANCE, DECISION THEORY, QUALITY CONTROL

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE