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A second model, which was used in all of the analyses presented in the paper, did not eliminate confusion between the work latent and error variance in the indicators. This model was specified by the same three latent factors as above, with the indicator error variance controlled for, and each indicator regressed on the latent factor. The model was estimated using full-information maximum likelihood, using the same strategy as for the model presented in the paper.
We found that the model with the 1 indicator per factor/latent achieved a marginally better fit than the model with multiple indicators. The inclusion of the indicator error variance for the multiple indicators model improved the fit to such a degree that the two models were very similar. This should be unsurprising, since indicators with error variance can be treated as another indicator for the latent factor, thereby returning to a single-indicator per factor model. This general pattern appeared consistently across each of the analysis, and was the basis for our conclusion that the single-indicator per factor model represents the best model structure for this data.
Table 1 displays the full model with the 2-indicator Work Content and the 4-indicator Work Context factors. All indicators are unidimensional and each factor has two indicators. The model passed all the tests for measurement invariance except for the measurement invariance test between Work Content 1 and Work Content 2. The Work Context factor model passed all the tests for measurement invariance. The model fit was good in all dimensions, as indicated by the RMSEA (root mean square error of approximation) of.048, the comparative fit index (CFI) of.963, and the Tucker-Lewis index (TLI) of.950.
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