The Google Analytics Blog has announced that you no longer need an invitation to receive the Website statistics tracking for free. Just head on over to the Google Analytics site and login with you Google account. It will then take you through the steps that are needed to setup your Website.
If you get stuck at any part you can use the installation guide to help you out. You may even want to look at that guide anyways because it has a bunch of useful information like setting up filters. We have created a filter to block out all statistics that come from our own IP address. That way we have a more accurate representation of how many visitors we really receive.
I just received an email from a visitor that gave me a link to this cool Google Personalized Homepage module for Google Analytics. I tried it out and it is pretty nice.