Factor analysis procedures revisited from the comprehensive model with unique factors decomposed into specific factors and errors

DOI10.1007/s11336-021-09824-8zbMath1497.62301OpenAlexW4210549952MaRDI QIDQ2088919

Kohei Adachi

Publication date: 6 October 2022

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-021-09824-8

zbMATH Keywords

matrix decomposition factor analysiscompletely decomposed factor analysiscomprehensive factor analysis modelinter-variable error correlationslatent variable factor analysis

Mathematics Subject Classification ID

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

Cites Work

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• A numerical approach to the approximate and the exact minimum rank of a covariance matrix
• Factor analysis with EM algorithm never gives improper solutions when sample covariance and initial parameter matrices are proper
• Some mathematical properties of the matrix decomposition solution in factor analysis
• The varimax criterion for analytic rotation in factor analysis
• EM algorithms for ML factor analysis
• A new method for simultaneous estimation of the factor model parameters, factor scores, and unique parts
• Applied Factor Analysis in the Natural Sciences
• Latent Variable Models and Factor Analysis
• <b>SOME CONTRIBUTIONS TO DATA-FITTING FACTOR </b><b>ANALYSIS WITH EMPIRICAL COMPARISONS TO </b><b>COVARIANCE-FITTING FACTOR ANALYSIS </b>
• Modern Multivariate Statistical Techniques
• Matrix-Based Introduction to Multivariate Data Analysis
• Certifiably Optimal Low Rank Factor Analysis
• Factor Analysis