I agree with a good bit of what Mr. Patton has to say; it depends on the position and the experience level I am looking for. Obviously top tier people get a more rigorous interview. I do call previous employers also.
For most, I have just a few test actually.
I talk with them to find out if they are they nice people. Being nice is like being tall; You either are or you are not.
Among other small indicators, one of my favorites is to hand them my smart phone and ask them to take a screen shot. If they can't I don't hire them. It is a small thing, but it is very telling.
Another is to ask them to list numbers. If they list the numbers left to right, I pass. If they list the numbers top to bottom, that is a positive. People who list left to right think differently than those who list top to bottom. I am a top to bottom kind of guy. I can talk to you and you understand me quickly. Left to right is not wrong, just different. We will always have problems communicating.
I like someone who asks what kind of information we will provide them; (i.e. other techs phone numbers, corporate policy, email accounts, training, etc). If they ask me, they are inquisitive and that is helpful. If they don't, they expect things to be provided to them. That is a negative.