Er, after reading it a second time it's probably intended to be more "This Blog Post's Analytics". The noun/verb issue is easily misread, especially since every other call to action button on that page uses a verb. "Add Comment" "Hide Comments" "Get RSS" "Friend Us" "Follow Us" etc...
I think you're right though that "show analytics" would be better. Also the reason they don't show it up front might be twofold (or not) - one that it increases engagement by making the blog part more interactive, a small but significant thing IMO, the other is that it reduces database load as not everyone will look at the analytics (if you're not bothered to read them then they just clutter up the page).
