Three-way component analysis: principles and illustrative application.
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Summary
In this article, 3-mode principal components analysis is described at an elementary level and Guidance is given concerning the choices to be made in each step of the process of analyzing 3-way data by this technique.
- Type
- review
- Published
- 2001-01-01
- Cited by
- 164
- References
- 25
- OpenAlex
- https://openalex.org/W1986678274
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:13391913
Keywords
Computer science, Set (abstract data type), Principal component analysis, Component (thermodynamics), Data mining
References
- Some mathematical notes on three-mode factor analysis
- Joint Orthomax Rotation of the Core and Component Matrices Resulting from Three-mode Principal Components Analysis
- Principal component analysis of three-mode data by means of alternating least squares algorithms
- Problems in measuring change
- An Introduction to the Bootstrap
- The varimax criterion for analytic rotation in factor analysis
- Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition
- Individual differences in anxiety responses to stressful situations: a three‐mode component analysis model
- Statistical aspects of a three-mode factor analysis model
- An S-R inventory of anxiousness.
- Oblique factor analytic solutions by orthogonal transformations
- Structural Equation Models of Factorial Invariance in Parallel Proportional Profiles and Oblique Confactor Problems.
- Handbook of multivariate experimental psychology
- Some procedures for displaying results from three‐way methods
- Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis
- Three-mode principal components analysis: choosing the numbers of components and sensitivity to local optima.
- Some additional results on principal components analysis of three-mode data by means of alternating least squares algorithms
- Optimality criteria for principal component analysis and generalizations
- Three-mode principal component analysis : theory and applications
- Efficient statistical modelling of longitudinal data.
Cited by
- Exploring groundwater hydrochemistry of alluvial aquifers using multi-way modeling.
- Properties of and Algorithms for Fitting Three-Way Component Models with Offset Terms
- Uncovering the structure of hypergraphs through tensor decomposition: An application to folksonomy analysis.
- Perceptual video hashing based on Tucker decomposition with application to indexing and retrieval of near-identical videos
- Simultaneous Decomposition of Depression Heterogeneity on the Person-, Symptom- and Time-Level: The Use of Three-Mode Principal Component Analysis
- Será o estilo de vinculação específico para cada relação? Um estudo utilizando a teoria da generalizabilidade
- Analysing Three-way Profile Data Using the Parafac and Tucker3 Models Illustrated with Views on Parenting
- Cultural Beliefs About Societal Change
- Maximum Likelihood Estimation in the Tensor Normal Model with a Structured Mean
- Accounting for Variation in the Explanatory Power of the Psychometric Paradigm: The Effects of Aggregation and Focus
- Predicting long-term depression outcome using a three-mode principal component model for depression heterogeneity.
- A procedure for isolating social desirability variance in a three-way component analysis.
- On Uniqueness of the Canonical Tensor Decomposition with Some Form of Symmetry
- Sphyga: a multiparameter open source tool for fabricating smart and tunable hydrogel microbeads
- The LMPCA program: A graphical user interface for fitting the linked-mode PARAFAC-PCA model to coupled real-valued data
- Applications of tensor (multiway array) factorizations and decompositions in data mining
- A Three-Way Jordan Canonical Form as Limit of Low-Rank Tensor Approximations
- Two- and three-way component models for LR fuzzy data in a possibilistic framework
- Psychometric evaluation of the Arabic language version of the Profile of Mood States.
- Extending the Lee–Carter model: a three-way decomposition
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