Even if you could track you site with Google Analytics, don't do it! Google is a surveillance infrastructure of unimaginable dimensions and they abuse your data. The very special irony of Google Analytics is that Google doesn't have to do anything actively, it is you, the webmaster, who sends data on each click of your users to Google. So you are sending other's data to Google. The law is catching up with this abuse and it is on the way to become illegal. Even now the major browsers have mechanisms built-in to block this communication.
This is too broad a topic, or rather a whole bag of issues, to be discussed here. But unavoidable we touch it many forums on moodle.org. Here is a random short explanation I found: https://webmasters.stackexchange.com/questions/50824/what-are-the-security-implications-of-using-google-analytics
. Please inform yourself.
Generally people don't like to be tracked. There are so many tools and methods to find out whether a site is tracking. So finally the tracking can back-fire depending on the awareness of your users. If you have the trust of users, why don't you collect data transparently? Everybody knows that each click is "trackable" if one is logged in.