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Methods for Direct Representation of Asymmetry

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Methods for the Analysis of Asymmetric Proximity Data

Part of the book series: Behaviormetrics: Quantitative Approaches to Human Behavior ((BQAHB,volume 7))

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Abstract

After a brief recall to the main aspects of the graphical representation of a rectangular matrix, two classes of methods to represent proximity matrices are reviewed: bilinear and distance-like methods. The main steps for the bilinear model estimation are presented by studying the properties of the Singular Value Decomposition of a proximity matrix. The principal concepts concerning the distance models for the analysis of symmetric proximity matrices are recalled, then some distance-like methods dealing with the direct representation of the asymmetric proximities are presented. The chapter ends with two applications to real data and a software section to present some programs available for models estimation.

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Author information

Authors and Affiliations

  1. Department of Education, Roma Tre University, Rome, Italy

    Giuseppe Bove

  2. Rikkyo University, Tokyo, Japan

    Akinori Okada

  3. Department of Statistical Sciences, Sapienza University of Rome, Rome, Italy

    Donatella Vicari

Authors
  1. Giuseppe Bove
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  2. Akinori Okada
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  3. Donatella Vicari
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Correspondence to Giuseppe Bove .

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Bove, G., Okada, A., Vicari, D. (2021). Methods for Direct Representation of Asymmetry. In: Methods for the Analysis of Asymmetric Proximity Data. Behaviormetrics: Quantitative Approaches to Human Behavior, vol 7. Springer, Singapore. https://doi.org/10.1007/978-981-16-3172-6_2

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