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Author
Walesiak Marek (Wrocław University of Economics, Poland), Dudek Andrzej (Wrocław University of Economics, Poland)
Title
Selecting the Optimal Multidimensional Scaling Procedure for Metric Data with R Environment
Source
Statistics in Transition, 2017, vol. 18, nr 3, s. 521-540, tab., rys., bibliogr. s. 538-540
Keyword
Skalowanie wielowymiarowe, Normalizacja
Multidimensional scaling, Normalization
Note
summ.
The project is financed by the Polish National Science Centre, decision DEC-2015/17/B/HS4/00905
Abstract
In multidimensional scaling (MDS) carried out on the basis of a metric data matrix (interval, ratio), the main decision problems relate to the selection of the method of normalization of the values of the variables, the selection of distance measure and the selection of MDS model. The article proposes a solution that allows choosing the optimal multidimensional scaling procedure according to the normalization methods, distance measures and MDS model applied. The study includes 18 normalization methods, 5 distance measures and 3 types of MDS models (ratio, interval and spline). It uses two criteria for selecting the optimal multidimensional scaling procedure: Kruskal's Stress-1 fit measure and Hirschman-Herfindahl HHI index calculated based on Stress per point values. The results are illustrated by an empirical example. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
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ISSN
1234-7655
Language
eng
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