okay, taking a wild shot in the dark, let's suppose your site analytics are triggered whenever ~any~ request is made for a page on your site
so your site analytics counts hits coming from search engines, and also hits coming from other links
what i'm missing is the mechanics of how this data finds its way back to the search engines, "improving your placement in the search engines for a specific keyword"
unless someone comes up with a believable explanation, e.g. a link to a matt cutts article that explains how google site analytics does a surreptitious data dump back to google (which i doubt), i'm going to keep calling b.s.