People sceptical of any analytical value of Facebook should see the nice embedded analytics, which is a close rival and even more to Google Analytics for websites. It has recently been updated as well.
It is right there on the button called Insights on left margin of your Facebook Page
Like for the Facebook Page
You can also use Export Data function to run customized analytical and statistical testing on your Corporate Page.
see screenshot of Demographics of 213 Decisionstats fans on Facebook ( FB doesnot allow individual views but only aggregate views for Privacy Reasons)