Relationships among several methods of linearly constrained correspondence analysis

DOI10.1007/BF02294498zbMath0760.62057OpenAlexW1977622207MaRDI QIDQ1205761

Yoshio Takane, Haruo Yanai, Shin-ichi Mayekawa

Publication date: 1 April 1993

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294498

zbMATH Keywords

linear constraintsgeneralized singular value decompositionGSVDKhatri's lemmaANOVA of categorical datacanonical correspondence analysiscorrespondence analysis of manipulated contingency tablesequivalence of methodsFisher's method of additive scoringHayashi's second type of quantification methodleast squares canonical analysisreparametrization methodzero average restrictions

Mathematics Subject Classification ID

Multivariate analysis (62H99) Factor analysis and principal components; correspondence analysis (62H25) Measures of association (correlation, canonical correlation, etc.) (62H20) Applications of statistics to psychology (62P15)

Related Items

Matrices with special reference to applications in psychometrics, Modelling trends in ordered correspondence analysis using orthogonal polynomials, Correspondence analysis and association models constrained by a conditional independence graph, Component analysis with different sets of constraints on different dimensions, Canonical analysis of two Euclidean subspaces and its applications, Correspondence analysis of textual data involving contextual information: CA-GALT on principal components, A new family of constrained principal component analysis (CPCA), Fuzzy clusterwise quasi-likelihood generalized linear models, Generalized constrained multiple correspondence analysis, Tests of ignoring and eliminating in nonsymmetric correspondence analysis, Gleaning in the field of dual scaling, Generalized constrained co-inertia analysis, Visualizing Class Specific Heterogeneous Tendencies in Categorical Data, An extended redundancy analysis and its applications to two practical examples, Canonical correlation analysis with linear constraints, An improved method for generalized constrained canonical correlation analysis, Seriation by constrained correspondence analysis: a simulation study, Regularized nonsymmetric correspondence analysis, A multivariate reduced-rank growth curve model with unbalanced data, Generalized structured component analysis, Geometric representation of association between categories, A probabilistic model for nonsymmetric correspondence analysis and prediction in contingency tables, Principal component analysis with external information on both subjects and variables, Professor Haruo Yanai and multivariate analysis, Some interpretative tools for non-symmetrical correspondence analysis, Constrained ordination analysis in the presence of zero inflation, Symmetrical and non-symmetrical variants of three-way correspondence analysis for ordered variables, On oblique projectors, The analysis of contingency tables under inequality constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projection matrices, generalized inverse matrices, and singular value decomposition.
• Some properties of BLUE in a linear model and canonical correlations associated with linear transformations
• GENFOLD 2: A set of models and algorithms for the GENeral unFOLDing analysis of preference/dominance data
• CANDELINC: A general approach to multidimensional analysis of many-way arrays with linear constraints on parameters
• Redundancy analysis: an alternative for canonical correlation analysis
• Correspondence analysis used complementary to loglinear analysis
• Some generalized forms of least squares \(g\)-inverse, minimum norm \(g\)- inverse, and Moore-Penrose inverse matrices
• Principal component analysis with external information on both subjects and variables
• A note on a Manova model applied to problems in growth curve
• Analysis of contingency tables by ideal point discriminant analysis
• Homogeneity analysis with k sets of variables: An alternating least squares method with optimal scaling features
• On the quantification of qualitative data from the mathematico- statistical point of view. (An approach for applying this method to the Parole Prediction.)
• On the prediction of phenomena from qualitative data and the quantification of qualitative data from the mathematico-statistical point of view
• A Combined Approach to Contingency Table Analysis Using Correspondence Analysis and Log-Linear Analysis
• The Analysis of Multivariate Contingency Tables by Restricted Canonical and Restricted Association Models
• Some Statistical Approaches to Multidimensional Scaling Data
• Linear Statistical Inference and its Applications
• The Quantification of Qualitative Data in Discriminant Analysis