Constrained Principal Component Analysis and Related Techniques

DOI10.1201/b16020zbMath1282.62150OpenAlexW2883409798MaRDI QIDQ2864529

Yoshio Takane

Publication date: 25 November 2013

Full work available at URL: https://doi.org/10.1201/b16020

zbMATH Keywords

algorithmsingular value decompositioncanonical correlation analysisbiplotmissing dataprojection matricescorrespondence analysisresidual analysismultidimensional scalingmultiple correspondence analysisseemingly unrelated regressiongeneralized structured component analysisredundancy analysisreliability assessmentgrowth curve modelsextended redundancy analysismatrix operationscanonical discriminant analysisadditional constraintsdata transformationshigher-order structuresextended growth curve modelsconstrained principal component analysisorthogonal Procrustes rotationtwo-way CANDELINCvector preference modelsmultiple-set canonical correlation analysisprobabilistic principal component analysisconstrained correspondence analysisdimensionality selectionfiner decompositionsfood and cancer datagraphical display of oblique componentsGreenacre's dataimage data matricesMezzich's datamultilevel redundancy analysisnonsymmetric correspondence analysisregularized constrained principal component analysisrobust estimationsTocher's dataWedderburn-Guttman decompositionweighted low rank approximations

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Estimation in multivariate analysis (62H12) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (6)

On the PLS Algorithm for Multiple Regression (PLS1) ⋮ Multilevel dynamic generalized structured component analysis for brain connectivity analysis in functional neuroimaging data ⋮ Sparse principal component analysis subject to prespecified cardinality of loadings ⋮ A Bayesian vector multidimensional scaling procedure incorporating dimension reparameterization with variable selection ⋮ Unnamed Item ⋮ Professor Haruo Yanai and multivariate analysis

Uses Software

• Matlab

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