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In 20252
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Ke-Hai Yuan1
Kentaro Hayashi1
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Yan Xia1
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On the Relationship between Factor Loadings and Component Loadings When Latent Traits and Specificities Are Treated as Latent Factors
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Kentaro Hayashi; Ke-Hai Yuan; Peter M. Bentler – Grantee Submission, 2025
Most existing studies on the relationship between factor analysis (FA) and principal component analysis (PCA) focus on approximating the common factors by the first few components via the closeness between their loadings. Based on a setup in Bentler and de Leeuw (Psychometrika 76:461-470, 2011), this study examines the relationship between FA…
Descriptors: Factor Analysis, Comparative Analysis, Correlation, Evaluation Criteria
Improving the Use of Parallel Analysis by Accounting for Sampling Variability of the Observed Correlation Matrix
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Yan Xia; Xinchang Zhou – Educational and Psychological Measurement, 2025
Parallel analysis has been considered one of the most accurate methods for determining the number of factors in factor analysis. One major advantage of parallel analysis over traditional factor retention methods (e.g., Kaiser's rule) is that it addresses the sampling variability of eigenvalues obtained from the identity matrix, representing the…
Descriptors: Factor Analysis, Statistical Analysis, Evaluation Methods, Sampling