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Chunk #20 — Results — Models 6 and 7 – Modeling the cross-instrument trait hierarchy

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Evaluating the Evidence for the General Factor of Personality across Multiple Inventories.
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Table 5 summarizes the factor correlations and standardized factor loadings. Model 6 proved to be a considerably better fit to the data than prior models (Table 4). Finally, Model 7 was estimated with a three-factor higher-order structure which resulted in a decrease in fit from Model 6 based on the χ2 difference test (Δdf = 5; Δχ2 = 42.94, p < .001), but the remaining fit indices did not evidence substantial change. A conceptual diagram and higher-order factor loadings is provided in Figure 3. As with the majority of previous models, this model exhibited some negative first-order factor variance. Nonetheless, as compared with previous models, the models based on a six-factor solutions show much better specification in the form of fewer negative factor and error variances4. Again, a third-order model was not estimated5.