I've been trying to find some way of determining actual uniques and pageviews for a given domain using Alexa's API. However, the data returned is relative to the number of Alexa toolbar users.
Since Alexa does not disclose the number of active toolbar users, is there a way to determine the absolute number of uniques and pageviews given Alexa's data on a domain?
WolframAlpha seems to be able to determine this: http://www.wolframalpha.com/input/?i=daily+page+views+news.ycombinator.com . I've tried to determine how many Alexa toolbar users there are by using WolframAlpha's data on 10 domains at random but there seems to be a considerable variance (up to 500M), so it seems that they are using some non-linear formula to extrapolate daily page views from Alexa Stats.
Any suggestions or anyone done this before?