We affirm the utility of integrative modeling, according to which it is advantageous to move beyond "one-at-a-time binary paradigms" through studies that position themselves within realistic multidimensional design spaces. We extend the integrative modeling approach to a target domain with which we are familiar, the consequences of bilingualism on mind and brain, often referred to as the "bilingual advantage." In doing so, we highlight work from our group consistent with integrative modeling.