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If you want a better idea of why you are ranking above competitors for a given keyword/phrase, run your site and the competitors sites through Brett's keyword density analyser:
I have yet to see a case where PR was the answer. (Disclaimer: ...something about what I know and postage stamps...)
1.) go into the directory section @ [directory.google.com...] and find your site (if you are in the PR6 range, I assume you have dmoz listing ...as will your competition)
2.) then grab the source code of the cat page, and find your listing in the code.
3.) then look for this snippet...
<img src="/img/pos.gif" width=##, height=4 align=absmiddle border=0 ALT="">
... the '##' will be an actual number, like 22 or something.... that is the width of the green PR image.... the more PR, the longer the bar. Be careful not to look at the image source that comes AFTER the snippet above.... it will look like <img src="/img/neg.gif" width=## height=4 align=absmiddle border=0 ALT=""> ...that is the image source of the 'negative' space AFTER the green bar. (I guess it would be ok to compare negative spaces, but don't compare green images with the negative spaces:)) .... FYI 'pos.gif' plus 'neg.gif' will add up to a width of 40.
...anyway, this will help you know where you are in *relative* terms. If I had a PC, I would get a toolbar and check the sites above and below me in that cat to see if I could see where the cutoffs are, then you could figure it out a little more.... but I don't:)
oh, for more on PR, I just found this thread too...
As far as I know, you can't measure a page's PageRank any better than 1/30 of a notch on the Toolbar scale.
An idea would be to have a site (or segment of a site) with reasonably high incoming (external) PR pages linking only to one page and then design the link structure of the site so that it will have varying gradations of real pagerank (using a classical pagerank calculator). Then when Google indexes the site and assigns various PR toolbar values to the pages then you can see how/if this relates to real pagerank.
The toolbar image is the same for all pages with a PR of 6, regardless if they are a "high" six or a "low" six.
The original poster would like to know how to determine if he is a 6.1 or a 6.2 - or a 6.9 but the general consensus is that this isn't possible since the toolbar only displays a rounded value.