I've had 3 fittings from 3 different shops...

fitting one - my old bike that was too big. These guys did a lot of measuring put it all into a fancy computer and came up with a print out. Unfortunately when it came to actually altering the bike they had a theory that everyone should ride more upright and rather than saying we should not bother with this bike (because it was actually way to big for me and could not be changed enough) they put a taller stem (it had a quill stem so this could be done) on it and sent me on my way. This did nothing for the shoulder pain I was experiencing and put so much presssure on my butt that I started having back and butt pain. So in a nutshell these guys had all the fancy technology, but then didn't use it....

fitting two - my Fuji. These guys did a good job took some measurements, put me on the trainer, adjusted my cleats, flipped my stem (and suggested I get a slightly shorter one) and said once I got used to that position that I could move the spacers to drop the handlebars even lower (I was looking for a more aggressive position).

fitting three - my Ruby. This fitting was done at a physical therapist's office. Their methods were a little more sophisticated. They took a lot of measurements - did the angles of my elbows and knees in certain positions and had a computer hooked up to the trainer that you could look at your pedal stroke on. In the end, as my husband and I had set it up as close to the Fuji as we could, it turns out we had done a pretty good job. There were some small tweaks to my shifters and saddle height, and again the suggestion that I get a shorter stem, which I did.

Any fitter should ask you how you ride you bike and what you want to get from the fitting before they do it. They should understand the difference between someone who wants to race and someone who wants to tour. If they don't understand that not everyone wants an agressive racing position then they shouldn't do fits! Conversely if they have a one thing fixes all fit problems attitude (like my first fit) they shouldn't be doing fits either. They should also check to see how flexible you are as that will have a lot to do with how comfortable you will be with saddle to handlebar positioning.