zero correlations related to the dependence and abuse group factors. Convergence problems due to only one individual with legal problems for cannabis required legal problems to be dropped from the bifactor model for cannabis. Hazardous use shows a strong negative loading on the abuse group factor for cocaine, and shows factor loading > 0.40 for alcohol, cannabis and heroin on the abuse group factor after controlling for the general factor. This implies that while hazardous use shares substantial common variance with the general factor, it also captures another dimension. For each substance, good empirical fit of a single 1-factor model underlying all the abuse and dependence criteria was found whether the criterion for legal problems was included or not (bottom section, Table 2). Finally, when craving was also included, eigenvalue results were similar and 1-factor CFA fit statistics were nearly unchanged.