On Extending the Bradley-Terry Model to Incorporate Within-Pair Order Effects

Davidson, Roger R.; Beaver, Robert J.

doi:10.2307/2529467

Cited by 70 publications

(65 citation statements)

References 11 publications

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“…Davidson and Beaver (1977) propose a modification of the Bradley -Terry model to account for the effect of the order of presentation of the treatments within a pair. A multiplicative order effect is suggested as an alternative to the additive order effect proposed by Beaver and Gokhale (1975).…”

Section: By 0 I Imentioning

confidence: 99%

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Bayesian Analysis for the Paired Comparison Model With Order Effects (Using Non-Informative Priors)

Gilani¹,

Abbas²

2008

Pak.j.stat.oper.res.

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Sometimes it may be difficult for a panelist to rank or compare more than two objects or treatments at the same time. For this reason, paired comparison method is used. In this study, the Davidson and Beaver (1977) model for paired comparisons with order effects is analyzed through the Bayesian Approach. For this purpose, the posterior means and the posterior modes are compared using the noninformative priors.

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Section: By 0 I Imentioning

confidence: 99%

“…For this reason, paired comparison method is used. In this study, the Davidson and Beaver (1977) model for paired comparisons with order effects is analyzed through the Bayesian Approach. For this purpose, the posterior means and the posterior modes are compared using the noninformative priors.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Analysis for the Paired Comparison Model With Order Effects (Using Non-Informative Priors)

Gilani¹,

Abbas²

2008

Pak.j.stat.oper.res.

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show abstract

“…see Davidson and Beaver (1977), and Agresti (1990, p. 373). A special case of this model obtained by putting γ = 1 is the BT model.…”

Section: Introductionmentioning

confidence: 98%

Measure of Departure from Extended Bradley-Terry Model for Paired Comparisons

Tahata¹,

Kozai²,

Tomizawa³

2012

IJSP

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“…Rao and Kupper (RK)(1967) and Davidson (1970) extend the basic models by including the effects of ties. Davidson and Beaver (1977) extend the BT model to accommodate the within-pair order effects. Aslam (2001Aslam ( , 2002 presents the Bayesian analyses of the paired comparisons models (BT and RK) using reference prior.…”

Section: Introductionmentioning

confidence: 99%

Statistical Analysis of the Tm- Model via Bayesian Approach

Aslam¹,

Hussain

Gilani

2012

Pak.j.stat.oper.res.

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The method of paired comparisons calls for the comparison of treatments presented in pairs to judges who prefer to better one based on their sensory evaluations. Thurstone (1927) and Mosteller (1951) employ the method of maximum likelihood to estimate the parameters of the Thurstone-Mosteller model for the paired comparisons. A Bayesian analysis of the said model using the non-informative reference (Jeffreys) prior is presented in this study. The posterior estimates (means and joint modes) of the parameters and the posterior probabilities comparing the two parameters are obtained for the analysis. The predictive probabilities that one treatment (T i ) is preferred to any other treatment (T j ) in a future single comparison are also computed. In addition, the graphs of the marginal posterior distributions of the individual parameter are drawn. The appropriateness of the model is also tested using the different test-statistics.

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On Extending the Bradley-Terry Model to Incorporate Within-Pair Order Effects

Cited by 70 publications

References 11 publications

Bayesian Analysis for the Paired Comparison Model With Order Effects (Using Non-Informative Priors)

Bayesian Analysis for the Paired Comparison Model With Order Effects (Using Non-Informative Priors)

Measure of Departure from Extended Bradley-Terry Model for Paired Comparisons

Statistical Analysis of the Tm- Model via Bayesian Approach

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