As mentioned above, private static methods are often useful for organizing re-used logic and reducing/eliminating repeated code. I'm surprised that I haven't noticed any mention of performance in this discussion. From Renaud Waldura's 'The Final Word on Final':
(Note, private static methods are implicitly final)
"Since a final method is only implemented in the declaring class, there is no need to dynamically dispatch a call to a final method, and static invocation can be used instead. The compiler can emit a direct call to the method, bypassing entirely the usual virtual method invocation procedure. Because of this, final methods are also candidates for inlining by a Just-In-Time compiler or a similar optimization tool. (Remember, private/static methods are already final, therefore always considered for this optimization.)"
Check out the whole paper: http://renaud.waldura.com/doc/java/final-keyword.shtml
