This book provides an accessible introduction and practical guidelines to apply asymmetric multidimensional scaling, cluster analysis, and related methods to asymmetric one-mode two-way and three-way asymmetric data. A major objective of this book is to present to applied researchers a set of methods and algorithms for graphical representation and clustering of asymmetric relationships. Data frequently concern measurements of asymmetric relationships between pairs of objects from a given set (e.g., subjects, variables, attributes,...), collected in one or more matrices. Examples abound in many different fields such as psychology, sociology, marketing research, and linguistics and more recently several applications have appeared in technological areas including cybernetics, air traffic control, robotics, and network analysis. The capabilities of the presented algorithms are illustrated by carefully chosen examples and supported by extensive data analyses. A review of the specialized statistical software available for the applications is also provided. This monograph is highly recommended to readers who need a complete and up-to-date reference on methods for asymmetric proximity data analysis.

lgli/Bove G., et al. Methods for the analysis of asymmetric proximity data (Springer, 2021)(ISBN 9789811631719)(O)(203s)_MVsa_.pdf

lgrsnf/Bove G., et al. Methods for the analysis of asymmetric proximity data (Springer, 2021)(ISBN 9789811631719)(O)(203s)_MVsa_.pdf

zlib/Mathematics/Mathematical Statistics/Giuseppe Bove, Akinori Okada, Donatella Vicari/Methods for the Analysis of Asymmetric Proximity Data_25996271.pdf

Springer Nature Singapore Pte Ltd Fka Springer Science + Business Media Singapore Pte Ltd

Behaviormetrics : quantitative approaches to human behavior, Singapore, 2021

Springer Nature, Singapore, 2021

Singapore, Singapore

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Preface
Contents
1 Introduction
1.1 Historical Background
1.2 Types of Asymmetric Pairwise Relationships, Proximity Definition and Related Basic Concepts
1.3 Examples of Asymmetric Proximity Matrices
1.4 Aims and Overview of the Book
References
2 Methods for Direct Representation of Asymmetry
2.1 Preliminaries
2.2 Bilinear Methods
2.3 Distance-like Models
2.3.1 Main Concepts on Distance Representation of Symmetric Proximities
2.3.2 Distance Representation of Asymmetry
2.4 External Information
2.5 Applications
2.5.1 Bilinear Model on European Languages Data
2.5.2 Distance Representations of Managers Data
2.6 Software
2.6.1 Bilinear Methods
2.6.2 Distance Representation of Asymmetry
References
3 Analysis of Symmetry and Skew-Symmetry
3.1 Preliminaries
3.2 Separate Representation
3.2.1 One-dimensional Skew-Symmetry
3.2.2 Distance Models for Skew-Symmetry*
3.3 Joint Representation
3.3.1 Independent Modelling of Symmetry and Skew-Symmetry
3.3.2 Dependent Modelling of Symmetry and Skew-Symmetry
3.4 Overview and Strategies of Analysis
3.5 Applications
3.6 Software
3.6.1 Distance Model
3.6.2 SVD of the Skew-Symmetric Component
3.6.3 Distance model plus radii for the skew-symmetric component
3.6.4 Joint Representation
References
4 Cluster Analysis for Asymmetry
4.1 Preliminaries
4.2 Hierarchical Methods
4.2.1 Asymmetric Hierarchical Algorithms and Dendrograms
4.2.2 Independent Modelling of Symmetry and Skew-Symmetry
4.3 Non-hierarchical Methods
4.3.1 Joint Modelling Symmetry and Skew-Symmetry
4.3.2 Including External Information: CLUSKEXT Model
4.3.3 Modelling Asymmetries Between Clusters
4.3.4 Dominant Object Approach
4.4 Clustering Approaches for Two-Mode Two-Way Data*
4.5 Applications
4.5.1 Managers Data
4.5.2 European Languages Data
References
5 Multiway Models
5.1 Preliminaries
5.2 Two-Mode Three-Way Asymmetric Methods
5.2.1 INDSCAL Model
5.2.2 Representing Asymmetry by Relationships Among Objects
5.2.3 Representing Asymmetry by Relationships Among Dimensions
5.3 One-Mode Three-Way Asymmetric Methods
5.4 Applications
5.5 Software
References

Behaviormetrics: Quantitative Approaches to Human Behavior
Erscheinungsdatum: 15.08.2021

2023-09-03