document: Modelling dependencies in paired comparison data a log-linear approach 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 is 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
doc_bio_tags: O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O B I I O O O O O O O O O O O B I I O O B I O O O O B I I O O O O O O O O O O B O O O O
extractive_keyphrases: multiple binomial responses conditional odds ratios generalized linear models parameter estimation goodness of fit glim
abstractive_keyphrases: paired comparison data dependency modelling log-linear approach bradley-terry model judge decisions