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An Entropy-Based Approach for Measuring Factor Contributions in Factor Analysis Models

1
Center for Educational Outreach and Admissions, Kyoto University, Kyoto 606-8501, Japan
2
Department of Mathematical Sciences, Osaka Prefecture University, Osaka 599-8532, Japan
3
Department of Statistics and Quantitative Methods, University of Milano Bicocca, 20126 Milano, Italy
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(9), 634; https://doi.org/10.3390/e20090634
Received: 12 July 2018 / Revised: 20 August 2018 / Accepted: 20 August 2018 / Published: 24 August 2018
In factor analysis, factor contributions of latent variables are assessed conventionally by the sums of the squared factor loadings related to the variables. First, the present paper considers issues in the conventional method. Second, an alternative entropy-based approach for measuring factor contributions is proposed. The method measures the contribution of the common factor vector to the manifest variable vector and decomposes it into contributions of factors. A numerical example is also provided to demonstrate the present approach. View Full-Text
Keywords: entropy coefficient of determination; factor contribution; factor loading; path analysis entropy coefficient of determination; factor contribution; factor loading; path analysis
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Eshima, N.; Tabata, M.; Giovanni Borroni, C. An Entropy-Based Approach for Measuring Factor Contributions in Factor Analysis Models. Entropy 2018, 20, 634.

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