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Centrality of Asymmetric Social Network: Singular Value Decomposition, Conjoint Measurement, and Asymmetric Multidimensional Scaling

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New Perspectives in Statistical Modeling and Data Analysis

Abstract

The centrality of an asymmetric social network, where relationships among actors are asymmetric, is investigated by singular value decomposition, conjoint measurement, and asymmetric multidimensional scaling. They were applied to asymmetric relationships among managers of a small firm. Two sets of outward and inward centralities were derived by singular value decomposition. The first set is similar to the centralities obtained by conjoint measurement and by asymmetric multidimensional scaling. The second set represents the different aspect from the centralities of the first set as well as those derived by the conjoint measurement and the asymmetric multidimensional scaling.

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Correspondence to Akinori Okada .

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Okada, A. (2011). Centrality of Asymmetric Social Network: Singular Value Decomposition, Conjoint Measurement, and Asymmetric Multidimensional Scaling. In: Ingrassia, S., Rocci, R., Vichi, M. (eds) New Perspectives in Statistical Modeling and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11363-5_25

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