A Bayes-type estimator for the Bradley-Terry model for paired comparison |
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Authors: | C. Chen Theodore M. Smith |
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Affiliation: | Department of Statistics, Temple University, Philadelphia, PA 19122, USA |
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Abstract: | A Bayes-type estimator is proposed for the worth parameter πi and for the treatment effect parameter ln πi in the Bradley-Terry Model for paired comparison. In contrast to current Bayes estimators which require iterative numberical calculations, this estimator has a closed form expression. This estimation technique is also extended to obtain estimators for the Luce Multiple Comparison Model. An application of this technique to a 23 factorial experiment with paired comparisons is presented. |
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Keywords: | Primary 62J15 Paired comparison Luce multiple comparison Bayes-type estimators |
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