TY - JOUR

T1 - Measuring the Similarity of MDS Configurations

AU - Borg, Ingwer

AU - Leutner, Detlev

PY - 1985/7/1

Y1 - 1985/7/1

N2 - The similarity of multidimensional scaling configurations can be assessed by either correlating over corresponding point coordinates, after Procrustean similarity transformations, or by directly assessing the similarity of corresponding distances. The product-moment correlation is, however, an inadmissible measure in the latter case, and hence the statistical norms reported by Poor and Wherry (1976) are worthless. What can be used is the congruence coefficient. Norms are derived for this coefficient under a wide range of parameters. We thus have two measures of configurational similarity, but even though they are both admissible, it is shown that they are not related in a simple way. Moreover, their statistical evaluation with respect to the question whether two configurations are “significantly similar” is likely to lead to different conclusions. Alternative ways to assess configurational similarity are discussed. © 1985, Taylor & Francis Group, LLC. All rights reserved.

AB - The similarity of multidimensional scaling configurations can be assessed by either correlating over corresponding point coordinates, after Procrustean similarity transformations, or by directly assessing the similarity of corresponding distances. The product-moment correlation is, however, an inadmissible measure in the latter case, and hence the statistical norms reported by Poor and Wherry (1976) are worthless. What can be used is the congruence coefficient. Norms are derived for this coefficient under a wide range of parameters. We thus have two measures of configurational similarity, but even though they are both admissible, it is shown that they are not related in a simple way. Moreover, their statistical evaluation with respect to the question whether two configurations are “significantly similar” is likely to lead to different conclusions. Alternative ways to assess configurational similarity are discussed. © 1985, Taylor & Francis Group, LLC. All rights reserved.

KW - Psychology

UR - http://www.scopus.com/inward/record.url?scp=0000043158&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/a777ed8a-3e07-3858-a5e7-4efacf00cbaf/

U2 - 10.1207/s15327906mbr2003_6

DO - 10.1207/s15327906mbr2003_6

M3 - Journal articles

AN - SCOPUS:0000043158

VL - 20

SP - 325

EP - 334

JO - Multivariate Behavioral Research

JF - Multivariate Behavioral Research

SN - 0027-3171

IS - 3

ER -