Accepted author manuscript, 238 KB, PDF document
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Modelling dependency in multivariate paired comparisons
T2 - a log-linear approach.
AU - Dittrich, Regina
AU - Francis, Brian
AU - Hatzinger, Reinhold
AU - Katzenbeisser, Walter
N1 - The final, definitive version of this article has been published in the Journal, Mathematical Social Sciences 52 (2), 2006, © ELSEVIER.
PY - 2006/9
Y1 - 2006/9
N2 - 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.
AB - 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.
KW - Paired comparisons
KW - Multivariate Bradley-Terry model
KW - Within-subject dependencies
KW - Multivariate binomial data
KW - Log-linear model
KW - Generalized linear models
KW - GLIM
U2 - 10.1016/j.mathsocsci.2006.06.001
DO - 10.1016/j.mathsocsci.2006.06.001
M3 - Journal article
VL - 52
SP - 197
EP - 209
JO - Mathematical Social Sciences
JF - Mathematical Social Sciences
SN - 0165-4896
IS - 2
ER -