A simple general method for oblique rotation

DOI10.1007/BF02294706zbMath1297.62232MaRDI QIDQ463069

Robert I. Jennrich

Publication date: 15 October 2014

Published in: Psychometrika (Search for Journal in Brave)

zbMATH Keywords

factor analysisstationary pointsgradient projectionobliminquartiminsimilarity and simplicitysimplimaxtarget rotation

Mathematics Subject Classification ID

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

Related Items (14)

SIMPCA: a framework for rotating and sparsifying principal components ⋮ Dimension-reduced clustering of functional data via subspace separation ⋮ Clustering of multivariate binary data with dimension reduction via \(L_{1}\)-regularized likelihood maximization ⋮ Rotating factors to simplify their structural paths ⋮ Rotation to sparse loadings using \(L^p\) losses and related inference problems ⋮ Oblique rotaton in canonical correlation analysis reformulated as maximizing the generalized coefficient of determination ⋮ Constrained principal component analysis of standardized data for biplots with unit-length variable vectors ⋮ Rotation to simple loadings using component loss functions: the orthogonal case ⋮ Derivative free gradient projection algorithms for rotation ⋮ Bayesian exploratory factor analysis ⋮ Newton algorithms for analytic rotation: an implicit function approach ⋮ Mapping unobserved item-respondent interactions: a latent space item response model with interaction map ⋮ Rotation in correspondence analysis from the canonical correlation perspective ⋮ Computation for latent variable model estimation: a unified stochastic proximal framework

Cites Work

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• Techniques for rotating two or more loading matrices to optimal agreement and simple structure: A comparison and some technical details
• Simplimax: Oblique rotation to an optimal target with simple structure
• A simple general procedure for orthogonal rotation
• A general rotation criterion and its use in orthogonal rotation
• Quartic rotation criteria and algorithms
• OBLIQUE ROTATION TO A PARTIALLY SPECIFIED TARGET

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