McLovin2:
If you just completed the online assessment in the last few weeks I wouldn't worry yet. As they say on here, "good news travels as slowly as bad news". I don't see why one couldn't hear back right away after the online test, since it's automated, but maybe they standardise the results, or only have different cut-off scores for people from different cities (for the testing day), or maybe (since it's ran by some external, British, company) it takes a while for them to get the results back. Those would be the only valid reasons I could think of.
Anyway, FWIW, without giving out too much information, my process has been something like this:
mid-March: applied
earl April: finally established that ASA hadn't actually got my application properly, and applied again
end of May: received an invitation to do the online test (I was given about eight days to do it)
mid June (about nine days after the final date for completing the online test): received an email saying I'd been successful, and then soon after an invite to arrange a time for a phone interview
late June: phone interview (I had the choice of times spread out over one week)
early August: invited for the testing day in late August.
So for me the big wait was after the phone interview (even though I was told I would hear back in two or three weeks).
I guess most people who failed wouldn't be on here any more, so we wouldn't really know if it takes longer to get a rejection letter or not. I didn't think I did that well on the online test.
I think the next set of testing days (other than the ones coming up in a week or two) are in Melbourne in late October. If you're not in Melbourne, perhaps they're waiting till there's a testing day in your city.
Cheers,