Accession Number : AD0641857

Title :   MULTIVARIATE PAIRED COMPARISONS.

Descriptive Note : Techanical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

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

Report Date : SEP 1966

Pagination or Media Count : 112

Abstract : The study concerns itself 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. A discussion of several possible approaches to an appropriate model is given and a model is selected. An iterative procedure for obtaining maximum likelihood estimates of the parameters introduced into the model is proposed and its behavior examined in some detail. Test procedures are developed for several tests of interest including a test of the appropriateness of the model. An extensive treatment of the asymptotic properties of the model closely parallels that which has been given for the univariate case by R. A. Bradley (1955). Rank analysis of incomplete block designs. III. Some large-sample results on estimation and power for a method of paired comparisons. (Biometrika 42, 450-470). Two numerical examples are given to illustrate the procedures which have been developed. (Author)

Descriptors :   (*MULTIVARIATE ANALYSIS, *MATHEMATICAL MODELS), STATISTICAL TESTS, QUALITY CONTROL

Subject Categories : Statistics and Probability
      Mfg & Industrial Eng & Control of Product Sys

Distribution Statement : APPROVED FOR PUBLIC RELEASE