Multidimensional Scaling

Wolfgang Karl Härdle and Zdeněk Hlávka
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Wolfgang Karl Härdle: Humboldt-Universität zu Berlin, C.A.S.E. Centre f. Appl. Stat. & Econ. School of Business and Economics
Zdeněk Hlávka: Charles University in Prague, Faculty of Mathematics and Physics Department of Statistics

Chapter Chapter 17 in Multivariate Statistics, 2015, pp 289-299 from Springer

Abstract: Abstract Multidimensional scaling (MDS) is a mathematical tool that uses proximities between observations to produce their spatial representation. In contrast to the techniques considered so far, MDS does not start from the raw multivariate data matrix $$\mathcal{X}$$ , but from an (n × n) dissimilarity or distance matrix, $$\mathcal{D}$$ , with the elements δ ij and d ij , respectively. Hence, the underlying dimensionality of the data under investigation is in general not known.

Keywords: Euclidean Distance; Distance Matrix; Multidimensional Scaling; Cook Island; Projection Step (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-642-36005-3_17

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