2007 | OriginalPaper | Buchkapitel
Multidimensional Scaling of Asymmetric Proximities with a Dominance Point
verfasst von : Akinori Okada, Tadashi Imaizumi
Erschienen in: Advances in Data Analysis
Verlag: Springer Berlin Heidelberg
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The purpose of the present study is to introduce a model and the associated nonmetric algorithm of multidimensional scaling for analyzing one-mode two-way (object × object) asymmetric proximities. In the model each object is represented as a point in a multidimensional Euclidean space, and a point, called the dominance point, is also embedded in the same multidimensional Euclidean space. The dominance point governs the asymmetry in the proximity relationships among objects, and represents the whole one-mode two-way asymmetric proximities dealt with in the analysis. An application to car switching data is presented.