Common Sense! Homeless people are more likely to commit crimes than people with homes and jobs because in society they are backed into a corner its just part of the life. It doesn't mean all homeless people are violent but they are probably more likely to commit a crime than someone with a job and stability. That being said, if I used just basic reasoning I would say it is probably more likely that in a per capita comparison meaning everything being equal homeless people are probably more likely to commit violent crimes because of Mental health issues (a huge problem with the homeless), general childhood upbringings (probably not a positive stable supportive environment considering their life style now), which also means they were probably never properly taught how to function in society and hold a job or never given any positive reinforcement to make them feel like they were worth anything. Housed people are less likely because they haven't been backed into that corner yet.