MULTIVARIATE PAIRED COMPARISONS.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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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
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems