@blogvibrations, I didn't mean to hijack your thread and hope my reply didn't seem to be a challenge by any means. I was really trying to keep it on-topic and off of the nofollow questions which always lead to conflicting debates.
Though, I am always happy to spark some thought and testing for others
One piece of advice if you do test on your own be sure to use a clean browser when setting up and visiting your test site/page.
I goofed this myself on my first testing (before the one I talked about) and had loaded it in FF with the SearchStatus addon active (Google/Alexa/Compete) several times. Needless to say I ended up with the page indexed by Alexa and it blew my controlled testing so I had to start over.
I ran my testing on a page, not a new domain, however when I created the page the main domain had a PR of 0 as it was an undeveloped domain at the time. Both the test page and the domain main page went to PR 1 with the most recent update, but the test page is a hanging orphan 2 levels deep of the top with no on-site linking to it at all.
You could be right about the main domain weight lifting the page some, but I have a hard time believing it would have gained the PR on that alone given the weakness of the main domain itself.
Anyway, again I apologize for taking the thread off-topic. The Gov & Edu tip is a great one and I hope my rambles don't distract anyone from taking advantage of it.