Distance measures for ordinal data – strategies of proceedings Cover Image

Pomiar odległości obiektów opisanych zmiennymi mierzonymi na skali porządkowej – strategie postępowania
Distance measures for ordinal data – strategies of proceedings

Author(s): Marek Walesiak
Subject(s): Economy
Published by: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Keywords: ordinal scale; distance measures; data analysis

Summary/Abstract: In the paper three strategies of proceedings with measuring of distance for ordinal data are presented: 1. Ordinal categories are coded first (methods: ranking, any linear coding, any nonlinear coding). Then we treat the ordinal data as metric data and apply the usual formulas for obtaining dissimilarities (Euclidean or Manhattan distance). 2. Ordinal categories are first replaced by their ranks after which distance measures for ranking data are applied (e.g. Kendall distance, Podani distance). 3. Distance measures using permissible transformations to ordinal scale are applied (GDM2 distance). For each strategy appropriate distance measures are presented. Advantages and disadvantages of these strategies of proceedings are discussed.

  • Issue Year: 2012
  • Issue No: 242
  • Page Range: 39-46
  • Page Count: 8
  • Language: Polish