We suggest that the description by Cramer et al. (2012) of traditional models of personality structure does not perfectly reflect the models actually endorsed by researchers. Personality researchers assume that many variables will have considerable secondary loadings and that the major personality factors will not account for all of the covariation among those variables. A model that includes common factors provides a more parsimonious explanation of covariation among personality variables than does a model consisting of network links only. Copyright © 2012 John Wiley & Sons, Ltd.