Two-Mode Three-Way Asymmetric Multidimensional Scaling with Constraints on Asymmetry

A model and an accompanying algorithm for two-mode three-way asymmetric multidimensional scaling is presented. The present model has a constraint on asymmetry, compared with the model of Okada, Imaizumi (1997) where each source has a different magnitude of asymmetry, but all sources are constrained so that the relative importance of the asymmetry along dimensions is constant for all sources. The accompanying nonmetric algorithm was developed from similar work in Okada, Imaizumi (1997). An application to interpersonal attraction data among university students is presented.