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Multidimensional scaling

Christopher Chatfield and Alexander J. Collins
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Christopher Chatfield: Bath University, School of Mathematics
Alexander J. Collins: Bath University, School of Mathematics

Chapter Chapter Ten in Introduction to Multivariate Analysis, 1980, pp 189-211 from Springer

Abstract: Abstract Multidimensional scaling is the term used to describe any procedure which starts with the ‘distances’ between a set of points (or individuals or objects), or information about these ‘distances’, and finds a configuration of the points, preferably in a small number of dimensions, usually 2 or 3. By ‘configuration’ we mean a set of co-ordinate values. For example, if we are given the road distances between all pairs of English towns, can we reconstruct a map of England? The map will of course be a two-dimensional configuration.

Keywords: Euclidean Distance; Data Matrix; Multidimensional Scaling; Positive Eigenvalue; Dissimilarity Matrix (search for similar items in EconPapers)
Date: 1980
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DOI: 10.1007/978-1-4899-3184-9_10

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