Hierarchical relations among three-way methods

DOI10.1007/BF02294485zbMath0760.62059OpenAlexW2039001431MaRDI QIDQ1205745

Henk A. L. Kiers

Publication date: 1 April 1993

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294485

zbMATH Keywords

longitudinal dataprincipal components analysisanalysis of three-way datatwo-way supermatrix

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to psychology (62P15)

Related Items (17)

Regularized generalized canonical correlation analysis for multiblock or multigroup data analysis ⋮ An introduction to multiway data and their analysis ⋮ A user-oriented overview of multiway methods and software ⋮ The TUCKALS line. A suite of programs for three-way data analysis ⋮ Sparse Tucker2 analysis of three-way data subject to a constrained number of zero elements in a core array ⋮ Three-mode orthomax rotation ⋮ Banking customer satisfaction evaluation: a three-way factor perspective ⋮ Bayesian multi-tensor factorization ⋮ New properties of common component and specific weight analysis ⋮ Application of ordinal correspondence analysis for submerged aquatic vegetation monitoring ⋮ An acceleration method for ten Berge et al.'s algorithm for orthogonal INDSCAL ⋮ INDSCAL model: geometrical interpretation and methodology ⋮ Three-way Tucker2 component analysis solutions of stimuli \(\times \) responses \(\times \) individuals data with simple structure and the fewest core differences ⋮ Hierarchical classes models for three-way three-mode binary data: interrelations and model selection ⋮ Added value of three-way methods for the analysis of mortality trends illustrated with worldwide female cancer mortality (1968-1985) ⋮ Uniqueness of real-valued hierarchical classes models ⋮ A generalization of principal component analysis to \(K\) sets of variables.

Uses Software

• PARAFAC
• GEPCAM

Cites Work

• Principal component analysis of three-mode data by means of alternating least squares algorithms
• Some clarifications of the CANDECOMP algorithm applied to INDSCAL
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Relations between multidimensional scaling and three-mode factor analysis
• Annotated bibliography of three-mode factor analysis
• Some distance properties of latent root and vector methods used in multivariate analysis

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