Exploratory second-order analyses for components and factors |
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Authors: | Haruhiko Ogasawara |
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Institution: | Department of Information and Management Science, Otaru University of Commerce, 3-5-21, Midori, Otaru 047-8501, Japan |
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Abstract: | Abstract: Exploratory methods using second‐order components and second‐order common factors were proposed. The second‐order components were obtained from the resolution of the correlation matrix of obliquely rotated first‐order principal components. The standard errors of the estimates of the second‐order component loadings were derived from an augmented information matrix with restrictions for the loadings and associated parameters. The second‐order factor analysis proposed was similar to the classical method in that the factor correlations among the first‐order factors were further resolved by the exploratory method of factor analysis. However, in this paper the second‐order factor loadings were estimated by the generalized least squares using the asymptotic variance‐covariance matrix for the first‐order factor correlations. The asymptotic standard errors for the estimates of the second‐order factor loadings were also derived. A numerical example was presented with simulated results. |
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Keywords: | asymptotic standard errors exploratory factor analysis factor rotation second-order component analysis second-order factor analysis |
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