| 1. Introduction 1 |
| 1.1. What is Asymmetry? 1 |
| 1.2. Asymmetric Data 1 |
| 1.3. Analysis of Asymmetric Structures 3 |
| 1.4. Overview of the Book 3 |
| 1.5. Prospective Fields and Readers 5 |
| 1.6. Suggestions for Reading 6 |
| 1.7. Notation 6 |
| 2. Paired Comparisons with Asymmetry 8 |
| 2.1. Overview and Preliminaries 8 |
| 2.2. Detection of Ordinal Structure 9 |
| 2.3. Analysis of Variance 15 |
| 2.4. Psychological Scaling 21 |
| 2.5. Operational Scaling 41 |
| 2.6. Summary 49 |
| 3. Graphical Representation of Asymmetric Data 51 |
| 3.1. Overview and Preliminaries 51 |
| 3.2. Gower's Procedure 52 |
| 3.3. Escoufier and Grorud's Procedure 69 |
| 3.4. Vector Model 80 |
| 3.5. Vector Field Model 89 |
| 4. Multidimensional Scaling of Asymmetric Data 103 |
| 4.1. Overview and Preliminaries 103 |
| 4.2. Generalization of Scalar Product Models 109 |
| 4.3. Similarity and Bias Model 124 |
| 4.4. Generalization of Distance Models 128 |
| 4.5. Feature-Matching Model and TSCALE 159 |
| 5. Cluster Analysis of Asymmetric Data 164 |
| 5.1. Overview and Preliminaries 164 |
| 5.2. Hubert Algorithms and their Extensions |
| (One-Mode Approach) 165 |
| 5.3. Classic (One-Mode Approach) 173 |
| 5.4. Brossier Algorithm (One-Mode Approach) 180 |
| 5.5. De Soete et al. Algorithm (Two-Mode Approach) 185 |
| 5.6. Bond Energy Algorithm (Two-Mode Approach) 188 |
| 5.7. Centroid Effect Algorithm (Two-Mode Approach) 190 |
| 5.8. Gennclus (Alternating Least Squares Approach) 194 |
| 6. Network Analysis of Asymmetric Data 199 |
| 6.1. Overview and Preliminaries 199 |
| 6.2. Detection of Cohesive Groups 201 |
| 6.3. Network Scaling 206 |
| 6.4. Statistical Models for Social Network 208 |
| 7. Multivariate Analysis of Asymmetry Between Data Sets 215 |
| 7.1. Overview and Preliminaries 215 |
| 7.2. Redundancy Analysis 220 |
| 7.3. Multivariate Regression on Composite Variates 225 |
| 7.4. Comparision of Related Procedures 229 |
| 7.5. Numerical Example 234 |
| Bibliography 243 |
| Index 252 |
| 1. Introduction 1 |
| 1.1. What is Asymmetry? 1 |
| 1.2. Asymmetric Data 1 |
| 1.3. Analysis of Asymmetric Structures 3 |
| 1.4. Overview of the Book 3 |
| 1.5. Prospective Fields and Readers 5 |
