In this study, a bifactor model was shown to explain Big Five personality data significantly better than a simple CFA model in predicting counterproductive work behavior using a sample of 299 undergraduate students from two U.S. universities. Specifically, after removing the bifactor variance - extraversion became significant predictor of counterproductive workbehavior such as academic dishonesty even after controlling for cognitive ability and gender. Discussion was made concerning using bifactor model in improving the predictive validity of the Big Five personality.
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Nguyen et al. (2013) studied this question.
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