I know how it works generally but I don’t quite get this calculation.
PR(A) = (1-d) + d(PR(t1)/C(t1) + … + PR(tn)/C(tn))
And ‘d’ is a damping factor that’s usually set to 0.85. What’s a damping factor?
You’ve obviously stumbled onto someone’s "home-grown" page rank calculation. Explaining this calculation wouldn’t provide anything meaningful to you because whatever this formula calculates, it’s not actual page rank.
Page rank is fluid and evolving. There is no formula to calculate actual page rank. The best estimates could only give you an "average" rank. People have come up with formulas to estimate page rank, which is a little more accurate then weather forecasters.
The only known factors, in determining page rank involve the following:
1) Backlinks: Website popularity – number of established, credible links from other sites to yours. This accounts for most of a page rank calculation.
2) Domain Longevity: Longer your site has been around, the better the chances of ranking. When competing in search, domain longevity can move your site above other, younger sites.
3) Domain Origin ( Global, Country, Sub-Domain ). There are country specific domains, such as .us that target only visitors from the US in search. Conversely, there are global domains, such as .com which target a world wide audience.
4) Website Content: keywords and text.
5) Website CTR Rate in Search. If your website continually interests visitors, via the number of times a searcher has clicked on your site in search, then it will begin to move up in page rank. This is valid for both personal search history ( google personalizes its search results to individuals ) and google search history.
All of the factors above, and more, are used to determine a website’s page rank.
Google, through its available tools, provides a great deal of information, which could be used to estimate page rank. However, Google does provide that information anyway – a detailed analysis of search result history ( Google Webmaster Tools ).