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

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.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0685598

Entities

People

  • Ralph A. Bradley
  • Roger R. Davidson

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Probability
  • Quality Control

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.