I replaced the factory battery on my 07 Dodge Ram and as soon as I hook up the battery the radio comes on and won't shut off until I disconnect the battery. This happens even without the key in the ignition. Thoughts?

The first thing that comes to mind is WTF! I'm fairly certain that you've had it installed for a at least a month, your wiring couldn't have been that bad. You've rechecked all of your grounds right?