Can variances of latent variables be scaled in such a way that they correspond to eigenvalues?

  • The paper reports an investigation of whether sums of squared factor loadings obtained in confirmatory factor analysis correspond to eigenvalues of exploratory factor analysis. The sum of squared factor loadings reflects the variance of the corresponding latent variable if the variance parameter of the confirmatory factor model is set equal to one. Hence, the computation of the sum implies a specific type of scaling of the variance. While the investigation of the theoretical foundations suggested the expected correspondence between sums of squared factor loadings and eigenvalues, the necessity of procedural specifications in the application, as for example the estimation method, revealed external influences on the outcome. A simulation study was conducted that demonstrated the possibility of exact correspondence if the same estimation method was applied. However, in the majority of realized specifications the estimates showed similar sizes but no correspondence.

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Metadaten
Author:Karl Schweizer, Stefan Troche, Siegbert ReißORCiDGND
URN:urn:nbn:de:hebis:30:3-450802
DOI:https://doi.org/10.5539/ijsp.v6n6p35
ISSN:1927-7040
ISSN:1927-7032
Parent Title (German):International Journal of Statistics and Probability
Document Type:Article
Language:English
Year of Completion:2017
Date of first Publication:2017/09/15
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2017/11/16
Tag:confirmatory factory analysis; eigenvalue; latent variance; scaling; sum of squared factor loadings
Volume:6
Issue:6
First Page:35
Last Page:42
Note:
This work is licensed under a Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/
HeBIS-PPN:427962617
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0