As I've already saw, many people here are related to admission process. And I want to ask their opinion on what is priority of all stuff from application: what is the most important (letters of recommendation or personal statement, GPA or maybe test scores), what is less important for admission and what is the least important? Would admission committee prefer applicant with good scores, high GPA, but with not outstanding personal statement and without letters from famous or well-known professors (for example, my scientific advisor in undergraduate school get his PhD only a couple years ago), or student with less GPA, test scores, but with letter from university's prof?
Some graduate schools require General GRE (Graduate Record Examinations). Would it better to send GRE scores (general or subject or both) even if it's not required (in case of relatively good result), or them wouldn't be considered at all?