A joint treatment of varimax rotation and the problem of diagonalizing symmetric matrices simultaneously in the least-squares sense

DOI10.1007/BF02306025zbMath0564.62048OpenAlexW1991303669MaRDI QIDQ1058244

Jos M. F. ten Berge

Publication date: 1984

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02306025

zbMATH Keywords

least-squaresmultidimensional scalingdiagonalizing quadratic formsdiagonalizing symmetric matricesvarimax rotation

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Matrix equations and identities (15A24) Basic linear algebra (15A99) Applications of statistics to psychology (62P15)

Related Items (10)

A direct solution for pairwise rotations in Kaiser's varimax method ⋮ Quartic rotation criteria and algorithms ⋮ Disjoint factor analysis with cross-loadings ⋮ An acceleration method for ten Berge et al.'s algorithm for orthogonal INDSCAL ⋮ Suppressing permutations or rigid planar rotations: A remedy against nonoptimal varimax rotations ⋮ Orthogonal principal planes ⋮ Orthogonal rotation in PCAMIX ⋮ Simple structure in component analysis techniques for mixtures of qualitative and quantitative variables ⋮ On the identifiability of Bayesian factor analytic models ⋮ A simple general procedure for orthogonal rotation

Cites Work

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• The varimax criterion for analytic rotation in factor analysis
• A direct solution for pairwise rotations in Kaiser's varimax method
• A new computational method to fit the weighted Euclidean distance model
• A matrix formulation of Kaiser's varimax criterion

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