I have friends and relatives, my wife included, that did the right thing, they say, and give a week or two notice. Then they get it rammed to them by the company walking them out the door on the spot.
On the other hand, I have at least one acquaintance who took a couple weeks vacation and go work for another place just to see if they like it before they give notice. If they like the new job for sure, then they give notice. If the new job isn't all it's cracked up to be then they just continue their old job, after their vacation.
One man I know took two weeks vacation from a John Deere factory and went to a GM factory because the factory was near his home town and better benefits, etc. After two weeks he came back a little more humble, but he still had a job. If he gave notice he would have burned his bridges, possibly. Although I do know of cases where they did accept people back if they are needed enough. Many times the company you leave will try to make a statement, "I'll show you."