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Uniqueness of real-valued hierarchical classes models

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Abstract

Two novel uniqueness theorems are derived for the family of hierarchical classes (HICLAS) models, a family of structural decomposition models for N-way N-mode data that imply simultaneous hierarchically organized classifications of all modes involved in the data. The theorems generalize earlier results on binary HICLAS models to the integer- and real-valued cases. In addition, they allow for a shorter and insightful proof of a result on Boolean matrix invertibility that goes back to earlier work of Luce (1952) and Rutherford (1963). 

    Research areas

  • COMPONENT ANALYSIS, Hierarchical classes, RV-HICLAS, Uniqueness
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Details

Original languageEnglish
Pages (from-to)215-221
Number of pages7
JournalJournal of Mathematical Psychology
Volume54
Issue number2
DOIs
Publication statusPublished - Apr 2010