TY  - JOUR
A1  - Schweizer, Karl
A1  - Troche, Stefan
A1  - Reiß, Siegbert
T1  - Can variances of latent variables be scaled in such a way that they correspond to eigenvalues?
T2  - International Journal of Statistics and Probability
N2  - 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.
KW  - latent variance
KW  - eigenvalue
KW  - confirmatory factory analysis
KW  - scaling
KW  - sum of squared factor loadings
Y1  - 2017
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/45080
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-450802
SN  - 1927-7040
SN  - 1927-7032
N1  - This work is licensed under a Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/
VL  - 6
IS  - 6
SP  - 35
EP  - 42
ER  -