Restricted Multidimensional Scaling Models for Asymmetric Proximities
- 1 June 1982
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 47 (2) , 201-208
- https://doi.org/10.1007/bf02296275
Abstract
Restricted multidimensional scaling models [Bentler & Weeks, 1978] allowing constraints on parameters, are extended to the case of asymmetric data. Separate functions are used to model the symmetric and antisymmetric parts of the data. The approach is also extended to the case in which data are presumed to be linearly related to squared distances. Examples of several models are provided, using journal citation data. Possible extensions of the models are considered.Keywords
This publication has 8 references indexed in Scilit:
- Monotonic models for asymmetric proximitiesJournal of Mathematical Psychology, 1979
- Estimation of Attractivities from InteractionsEnvironment and Planning A: Economy and Space, 1979
- Constrained Multidimensional Scaling in N SpacesPsychometrika, 1978
- Free trees and bidirectional trees as representations of psychological distanceJournal of Mathematical Psychology, 1978
- Restricted multidimensional scaling modelsJournal of Mathematical Psychology, 1978
- Graphical Representation of Asymmetric MatricesJournal of the Royal Statistical Society Series C: Applied Statistics, 1978
- Nonmetric Individual Differences Multidimensional Scaling: An Alternating Least Squares Method with Optimal Scaling FeaturesPsychometrika, 1977
- Spatial Interaction PatternsJournal of Environmental Systems, 1976