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- W4294410917 abstract "The case that the factor model does not account for all the covariances of the observed variables is considered. This is a quite realistic condition because some model error as well as some sampling error should usually occur with empirical data. It is shown that principal components representing covariances not accounted for by the factors of the model can have a non-zero correlation with the common factors of the factor model. Non-zero correlations of components representing variance not accounted for by the factor model with common factors were also found in a simulation study. Based on these results it should be concluded that common factors can be correlated with variance components representing model error as well as sampling error. In consequence, even when researchers decide not to represent some small or trivial variance by means of a common factor, these excluded variances can still be part of the model." @default.
- W4294410917 created "2022-09-03" @default.
- W4294410917 creator A5056688523 @default.
- W4294410917 date "2013-08-19" @default.
- W4294410917 modified "2023-10-14" @default.
- W4294410917 title "The factor paradox: Common factors can be correlated with the variance not accounted for by the common factors!" @default.
- W4294410917 doi "https://doi.org/10.48550/arxiv.1308.4178" @default.
- W4294410917 hasPublicationYear "2013" @default.
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