We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Modelling dependency in multivariate paired com...
View graph of relations

« Back

Modelling dependency in multivariate paired comparisons: a log-linear approach.

Research output: Contribution to journalJournal article


  • Regina Dittrich
  • Brian Francis
  • Reinhold Hatzinger
  • Walter Katzenbeisser
Journal publication date09/2006
JournalMathematical Social Sciences
Number of pages13
Original languageEnglish


A log-linear representation of the Bradley-Terry model is presented for multivariate paired comparison data, where judges are asked to compare pairs of objects on more than one attribute. By converting such data to multiple binomial responses, dependencies between the decisions of the judges as well as possible association structures between the attributes can be incorporated in the model, providing an advantage over parallel univariate analyses of individual attributes. The approach outlined gives parameters which can be interpreted as (conditional) log–odds and log–odds ratios. As the model is a generalised linear model, parameter estimation can use standard software and the GLM framework can be used to test hypotheses on these parameters.

Bibliographic note

The final, definitive version of this article has been published in the Journal, Mathematical Social Sciences 52 (2), 2006, © ELSEVIER.