Multidimensional scaling on a sphere
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 20 (9) , 2943-2953
- https://doi.org/10.1080/03610929108830679
Abstract
Nonmetric multidimensional scaling (MDS) is adapted to give configurations of points that lie on the surface of a sphere.There are data sets where it can be argued that spherical MDS is more relevant than the usual planar MDS.The theory behind the adaption of planar MDS to spherical MDS is outlined and then its use is illustrated on three data sets.Keywords
This publication has 9 references indexed in Scilit:
- Multidimensional scaling models with inequality and equality constraintsCommunications in Statistics - Simulation and Computation, 1984
- Functional relations in multidimensional scalingBritish Journal of Mathematical and Statistical Psychology, 1980
- A Model and Algorithm for Multidimensional Scaling with External Constraints on the DistancesPsychometrika, 1980
- Introduction to Multivariate AnalysisPublished by Springer Nature ,1980
- Constrained Multidimensional Scaling in N SpacesPsychometrika, 1978
- Restricted multidimensional scaling modelsJournal of Mathematical Psychology, 1978
- Studies in the Robustness of Multidimensional Scaling: Procrustes StatisticsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1978
- Nonmetric Multidimensional Scaling: A Numerical MethodPsychometrika, 1964
- Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesisPsychometrika, 1964