论文信息 - Random effects in paired-comparison experiments using the Bradley-Terry model.

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 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.

D. Quade | D Quade | J F Lancaster | J. Lancaster

[1] R. Davidson. On Extending the Bradley-Terry Model to Accommodate Ties in Paired Comparison Experiments , 1970 .

[2] J. W. Hopkins,et al. Incomplete Block Rank Analysis: Some Taste Test Results , 1954 .

[3] R. Tarone,et al. Testing the goodness of fit of the binomial distribution , 1979 .

[4] Roger R. Davidson,et al. A Bibliography on the Method of Paired Comparisons , 1973 .

[5] N. T. Gridgeman. Pair Comparison, with and without Ties , 1959 .

[6] Prem S. Puri,et al. On Optimal Asymptotic Tests of Composite Statistical Hypotheses , 1967 .

[7] Daniel L. Solomon,et al. A Bayesian approach to paired comparison experimentation , 1973 .

[8] H. A. David,et al. Ties in Paired-Comparison Experiments Using a Modified Thurstone-Mosteller Model , 1960 .

[9] P. V. Rao,et al. Ties in Paired-Comparison Experiments: A Generalization of the Bradley-Terry Model , 1967 .

[10] Berend Wierenga,et al. Paired Comparison Product Testing when Individual Preferences are Stochastic , 1974 .

[11] R. A. Bradley,et al. RANK ANALYSIS OF INCOMPLETE BLOCK DESIGNS , 1952 .

[12] R. A. Bradley,et al. Rank Analysis of Incomplete Block Designs: I. The Method of Paired Comparisons , 1952 .

[13] H. A. David,et al. The method of paired comparisons , 1966 .