The purpose of the current study is to test the proposition that the relative contribution of narrow abilities (but not of g) may have been obscured in prior research due to a failure to employ fully multidimensional latent variable analyses. The current study corrects for these deficiencies and examines the relationships between cognitive abilities and domain-specific declarative knowledge. Results show that when observed criterion test scores were individually regressed on abilities, only g was consistently related to the criteria. However, when a latent variable analysis was applied to the same data, both g and narrow ability factors accounted for substantial portions of variance in different latent criterion constructs. Implications are discussed.