(2005). Child custody and visitation decisions when the father has perpetrated violence against the mother. Violence Against Women, 11(8), 1076-1107.

Morrill, A. C., Dai, J., Dunn, S., Sung, I., & Smith, K. (2005). Child custody and visitation decisions when the father has perpetrated violence against the mother. Violence Against Women, 11(8), 1076-1107.
This research evaluated the effectiveness of statutes mandating a presumption against custody to a perpetrator of domestic violence (DV) and judicial education about DV. Across six states, the authors examined 393 custody and/or visitation orders where the father perpetrated DV against the mother and surveyed 60 judges who entered those orders. With the presumption, more orders gave legal and physical custody to the mother and imposed a structured schedule and restrictive conditions on fathers' visits, except where there was also a "friendly parent" provision and a presumption for joint custody. Thus it appears that a presumption against custody to a perpetrator of DV is effective only when part of a consistent statutory scheme.
http://www.leadershipcouncil.org/1/pas/dv.html