A general algorithm for obtaining simple structure of core arrays in \(N\)-way PCA with application to fluorometric data

DOI10.1016/S0167-9473(99)00017-1zbMath1061.62535OpenAlexW2165227327WikidataQ126296858 ScholiaQ126296858MaRDI QIDQ1606500

Claus A. Andersson, René Henrion

Publication date: 29 July 2002

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-9473(99)00017-1

zbMATH Keywords

PCABody diagonalityCore arrayExploratory modellingFactor rotationMulti-linear modellingN-mode factor analysisN-way principal component analysisOrthogonal transformationTucker3 modelVariance-of-squares

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of mathematical programming (90C90) Applications of statistics (62P99)

Uses Software

• Matlab

Cites Work

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• A new computational method to fit the weighted Euclidean distance model
• Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure.
• An approach to n-mode components analysis
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Annotated bibliography of three-mode factor analysis
• Convergence Conditions for Nonlinear Programming Algorithms

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