In a study from Sweden a few years ago, it showed that women and men report essentially equal amount of violence in the home, which throws a big wrench into the perception of women as the perpetual victim and men as the perpetual aggressor.
But even more interestingly the study showed that men and women choose different method in physical violence, and that has a major impact on injures. Men favors unarmed methods by the use of their hands, while women favor knives or improvised weapons. In average the unarmed method cause more often damage which need the attention of medical help, while armed combat during domestic violence causes more damage in those rare instances where medical help was needed. The explanation for this is that combat with improvised weapons is simply harder to do than unarmed.