I've been reading a lot about the google algorithm and i know no one really knows except google, but it all kind of makes sense. Let's forget for a moment about the other 147~187 factors that affect SERP positioning, and focus on PR, Authority and Trust. So, is the following correct?
My page gets PR (link juice) from backlinks to it. The amount of juice my page gets from a backlink depends on the PR of the linking page, and the amount of outgoing links on that linking page (the given PR is spread evenly across all the links). Anchor text does not factor into the PR that is passed.
My domain/site gets Authority and hopefully a little Trust from quality backlinks that themselves have some of one or both.
Authority *may* be topic-specific, so if i've got a lot of backlinks with anchor text relating to "movies", i gain authority for movie-related terms from them. This explains the importance of anchor text.
Thus, if i've got lots of PR on my page (lots of backlinks) and my site has lots of authority for the search term "movies" (the anchor text of those backlinks and of backlinks to other pages on my site are related to movies) and by luck i've even gotten a bit of trust passed down from the American Film Institute linking to me, then i will rank high for a movie-related search.
Am i close?
But what if my site has authority, not only for "movies", but also for "books"? How does google know which page to rank high for a "book" search? On-page factors! Content!
Or does PR actually depend on the anchor text, and thus, a page can have Topic-specific PR?
There's something missing... Something like PageAuthority. Something topic-specific like Authority, but specific to one page like PR. No?