Google Analytics is a free service offered by Google that generates detailed statistics about the visitors to a website. Its main highlight is that a webmaster can optimize his ad campaigns through Google Analytics' analysis of where the visitors came from, how long they stayed on the website, and their geographical position.
A game mechanic is a rule or set of rules intended to produce an enjoyable set of outcomes in a game. Complex games, such as role-playing games, are built using a large number of interlocking game mechanisms. The entirety of the game experience or set of game mechanics is called game play.