I think it only depends on whether you were actually arrested, or if it was a conviction or something that went thru the court process. (ie. points for speeding wouldn't count (I think!) unless perhaps you got so many you were banned), however, I'm not 100% sure about that.
Check out the
Visa information on the US Embassy site which includes a link to the 'special restricted visas' details as well. It gives lots of info, including how to get a special Visa if that's what you need. If you can't find what you are looking for, or are in
any doubt, you should ring the Embassy direct - there is a Visa helpline I believe.
HTH