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Modelling dependencies in paired comparison data

2002; Elsevier BV; Volume: 40; Issue: 1 Linguagem: Inglês

10.1016/s0167-9473(01)00106-2

1872-7352

Regina Dittrich, Reinhold Hatzinger, Walter Katzenbeisser,

Sensory Analysis and Statistical Methods

In many Bradley–Terry models a more or less explicit assumption is that all decisions of the judges are independent. An assumption which might be questionable at least for the decisions of a given judge. In paired comparison studies, a judge chooses among objects several times, and in such cases, judgements made by the same judge are likely to be dependent. A log-linear representation for the Bradley–Terry model will be developed, which takes into account dependencies between judgements. The modelling of the dependencies is embedded in the analysis of multiple binomial responses, which has the advantage of interpretability in terms of conditional odds ratios. Furthermore, the modelling is done in the framework of generalized linear models, thus parameter estimation and the assessment of goodness of fit can be obtained in the standard way by using e.g. GLIM or another standard software.