Cluster Differences Scaling with a Within-Clusters Loss Component and a Fuzzy Successive Approximation Strategy To Avoid Local Minima

Cluster Differences Scaling with a Within-Clusters Loss Component and a Fuzzy Successive Approximation Strategy To Avoid Local Minima

The least squares loss function of cluster differences scaling, originally defined only on residuals of pairs allocated to different clusters, is extended with a loss component for pairs allocated to the same cluster. Findings show that this makes the method equivalent to multidimensional scaling wi...

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Veröffentlicht in:Psychometrika 1997-03, Vol.62 (1), p.63-83
1. Verfasser: Heiser, Willem J
Format: Artikel
Sprache:eng
Schlagworte:
Biological and medical sciences
Cluster Analysis
Fundamental and applied biological sciences. Psychology
Fuzzy Concepts
Least Squares Statistics
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics. Statistics. Methodology
Scaling
Statistics. Mathematics
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Zusammenfassung:The least squares loss function of cluster differences scaling, originally defined only on residuals of pairs allocated to different clusters, is extended with a loss component for pairs allocated to the same cluster. Findings show that this makes the method equivalent to multidimensional scaling with cluster constraints on the coordinates. (SLD)
ISSN:0033-3123
1860-0980
DOI:10.1007/BF02294781