Yes, I think there are some efforts out there.The International Association of Chiefs of Police has done some work looking at this. The Police Executive Research Forum, or PERF, has put together some publications and has looked at some of these matters as well. I'm not sure, but, off the top of my head, I suspect the Police Foundation has explored this issue as well. Those would be three good starting points, although I'm quite confident there are other efforts that simply are not coming to my mind at this point.
On February 7th, 2013. See this statement in context.