(ii), the program is conducted using one or more of the service delivery models described in item (aa) or (bb) of subclause (I) or in subclause (II) selected by the State: (I) The model conforms to a clear consistent home visitation model that has been in existence for at least 3 years and is research-based, grounded in relevant empirically-based knowledge, linked to program determined outcomes, associated with a national organization or institution of higher education that has comprehensive home visitation program standards that ensure high quality service delivery and continuous program quality improvement, and has demonstrated significant (and in the case of the service delivery model described in item (aa), sustained) positive outcomes, as described in the benchmark areas specified in paragraph (1)(A) and the participant outcomes described in paragraph (2)(B), when evaluated using well-designed and rigorous— (aa) randomized controlled research designs, and the evaluation results have been published in a peer-reviewed journal