title: Triadic distance models for the analysis of asymmetric three-way proximity data.
abstract: Triadic distance models can be used to analyse proximity data defined on triples of objects. Three-way symmetry is a common assumption for triadic distance models. In the present study three-way symmetry is not assumed. Triadic distance models are presented for the analysis of asymmetric three-way proximity data that result in a simultaneous representation of symmetry and asymmetry in a low-dimensional configuration. An iterative majorization algorithm is developed for obtaining the coordinates and the representation of the asymmetry. The models are illustrated by an example using longitudinal categorical data.
authors.affiliation: Department of Psychology, Leiden University, The Netherlands. rooijm@fsw.leidenuniv.nl
authors.forename: M
authors.initials: M
authors.lastname: de Rooij
authors.forename: W J
authors.initials: WJ
authors.lastname: Heiser
mesh_terms: D000465:Algorithms; D006801:Humans; D015233:Models, Statistical