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• Applied bifactor models to NEO-FFI-3, HEXACO PI-R, and BFI-2 data estimating domain, evaluation, and acquiescence factors. • The evaluation factor was a significant, positive predictor of GPA. • There was little evidence of a relation of GPA to the acquiescence factor. • Domain factor score validities were more negative than corresponding summated scale validities. • Results suggest that extraneous factor contamination can be measured and used with the modeling techniques employed here. Bifactor models were applied to the NEO-FFI-3, HEXACO PI-R, and BFI-2 questionnaires. Factor scores of factors representing the domains of the questionnaires, evaluation, and acquiescence were estimated. Simple and multiple validities of the factor scores were compared with summated scale validities. The evaluation factor was a significant predictor of GPA in all questionnaires. There was little evidence of a relation of GPA to the acquiescence factor. The validities of the domain factor scores, controlling for the evaluation and acquiescence factors, were uniformly more negative than those of corresponding summated scales. Results suggest that the evaluative contamination of Big Five and HEXACO summated scores can be isolated and used effectively with bifactor modeling techniques. [ABSTRACT FROM AUTHOR]