INDCLAS: a three-way hierarchical classes model

DOI10.1007/BF02294316zbMath1365.62456OpenAlexW1969252083MaRDI QIDQ2250655

Seymour Rosenberg, Iven van Mechelen, Paul De Boeck, Iwin Leenen

Publication date: 18 July 2014

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294316

zbMATH Keywords

clusteringbinary dataindividual differenceshierarchical classesthree-way three-mode dataset-theoretical relations

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Clustering in the social and behavioral sciences (91C20) Applications of statistics to psychology (62P15)

Related Items (16)

Uniqueness of \(N\)-way \(N\)-mode hierarchical classes models. ⋮ Clustering Boolean tensors ⋮ Factorization with Hierarchical Classes Analysis and with Formal Concept Analysis ⋮ Bayesian hierarchical classes analysis ⋮ Simultaneous analysis of coupled data blocks differing in size: a comparison of two weighting schemes ⋮ Tucker3 hierarchical classes analysis ⋮ Tucker2 hierarchical classes analysis ⋮ Hierarchical classes models for three-way three-mode binary data: interrelations and model selection ⋮ Uniqueness of real-valued hierarchical classes models ⋮ Probability matrix decomposition models and main-effects generalized linear models for the analysis of replicated binary associations. ⋮ The CHIC model: a global model for coupled binary data ⋮ Models for ordinal hierarchical classes analysis ⋮ The local minima problem in hierarchical classes analysis: an evaluation of a simulated annealing algorithm and various multistart procedures ⋮ Hierarchical classes modeling of rating data ⋮ A unifying model involving a categorical and/or dimensional reduction for multimode data ⋮ The real-valued model of hierarchical classes

Uses Software

• MAPCLUS
• Indclus

Cites Work

• The conjunctive model of hierarchical classes
• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
• A generic disjunctive/conjunctive decomposition model for \(n\)-ary relations
• An alternating combinatorial optimization approach to fitting the INDCLUS and generalized INDCLUS models
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Hierarchical classes: model and data analysis
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