Visualization of Linear Ordering Results for Ordinal Data with Application of Multidimensional Scaling Cover Image

Wizualizacja wyników porządkowania liniowego dla danych porządkowych z wykorzystaniem skalowania wielowymiarowego
Visualization of Linear Ordering Results for Ordinal Data with Application of Multidimensional Scaling

Author(s): Marek Walesiak
Subject(s): Economy, ICT Information and Communications Technologies
Published by: Główny Urząd Statystyczny
Keywords: linear ordering; multidimensional scaling; ordinal data; composite measures; R environment

Summary/Abstract: A two-step procedure was proposed to visualization of linear ordering results for ordinal data. In the first step as a result of the application of multidimensional scaling (see Borg, Groenen, 2005; Mair et al., 2016) is to visualize objects in two-dimensional space. In the next step, a linear ordering is carried out with the use of the Euclidean distance from the pattern (ideal) object. The proposed approach expanded the possibilities of interpretation of the results of the linear ordering of set of objects. The article uses the concept of isoquant and path of development (the shortest way connecting ideal and anti-ideal object) proposed by Hellwig (1981). The proposed approach is illustrated by an empirical example with application of script of R environment.

  • Issue Year: 64/2017
  • Issue No: 1
  • Page Range: 5-20
  • Page Count: 16
  • Language: Polish