Suggestion: the access logs your web server collects are enough for basic analytics, and if you are curious for more, you can manually instrument your site a little. You don't need to give Google the power to spy on your users.
If the system is designed well, in a lot of cases the users won't be receiving the resource from your server, they will be receiving it from a) their browser cache, b) their local network cache, c) their ISP's cache, or d) a CDN. Your server logs might be showing several thousand hits while the number of times a page is actually shown to somebody might be tens of thousands of hits.
Server logs are great for logging what is happening on your server, but awful for understanding your user base.