This week's book giveaway is in the OCPJP forum. We're giving away four copies of OCA/OCP Java SE 7 Programmer I & II Study Guide and have Kathy Sierra & Bert Bates on-line! See this thread for details.
Here is such an example. Let's say Expensive objects are very expensive to create. You don't want to create them until you really have to. If the Expensive object is only used by instance methods, like plus(), you can avoid creating one until the first instance of Test is created. This way, if a program only needs the help() method, it can avoid creating a Test (and thus an Expensive) altogether.
This is a rare situation, but it's just an example.