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Distance Models for Three-Way Tables and Three-Way Association

Distance Models for Three-Way Tables and Three-Way Association similarity function, the L p -transform and the Minkowski-p distance. For triadic distance models defined by the L p -transform we will prove that they do not model three-way association. Moreover, triadic distance models defined by the L p -transform are restricted multiple dyadic distances, where each dyadic distance is defined for a two-way margin of the three-way table. Distance models for three-way two-mode data, called three-way distance models, do succeed in modeling three-way association. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Classification Springer Journals

Distance Models for Three-Way Tables and Three-Way Association

Journal of Classification , Volume 19 (1) – Jan 1, 2002

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Publisher
Springer Journals
Copyright
Copyright © Inc. by 2002 Springer-Verlag New York
Subject
Statistics; Statistical Theory and Methods; Pattern Recognition; Bioinformatics; Signal,Image and Speech Processing; Psychometrics; Marketing
ISSN
0176-4268
eISSN
1432-1343
DOI
10.1007/s00357-001-0037-7
Publisher site
See Article on Publisher Site

Abstract

similarity function, the L p -transform and the Minkowski-p distance. For triadic distance models defined by the L p -transform we will prove that they do not model three-way association. Moreover, triadic distance models defined by the L p -transform are restricted multiple dyadic distances, where each dyadic distance is defined for a two-way margin of the three-way table. Distance models for three-way two-mode data, called three-way distance models, do succeed in modeling three-way association.

Journal

Journal of ClassificationSpringer Journals

Published: Jan 1, 2002

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