Random Effects in Paired-Comparison Experiments Using the Bradley-Terry Model

The Bradley-Terry model for paired-comparison experiments assumes that the parameters for treatment ratings are the same for each comparison. We generalize this model by envisioning a population of judges from which a sample is taken to perform the experiment. The preference parameters can then be t...

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Bibliographic Details
Published in:Biometrics 1983-03, Vol.39 (1), p.245-249
Main Authors: Lancaster, J. F., Quade, Dana
Format: Article
Language:English
Subjects:
Biological and medical sciences
Biometrics
Biometry
Fundamental and applied biological sciences. Psychology
General aspects
Goodness of fit
Humans
Judgment
Mathematical independent variables
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Models, Psychological
Parametric models
Random variables
Research Design
Shorter Communications
Taste
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Summary:The Bradley-Terry model for paired-comparison experiments assumes that the parameters for treatment ratings are the same for each comparison. We generalize this model by envisioning a population of judges from which a sample is taken to perform the experiment. The preference parameters can then be treated as random variables, and this induces a correlation between outcomes involving the same judge. Such a model may be helpful in isolating variation due to judges, from true variation in the treatments, as well as in accounting for the nonindependence of judgments.
ISSN:0006-341X
1541-0420
DOI:10.2307/2530824