I'm aware of litmus and the upcoming moztrap. But AFAIK there is no regular "standard quality test".
Even if a given release fails any future test it will not be stopped (unless it contains what the Devs call a Blocker...). The current procedure is that it will still be released and the bug will eventually be fixed on a future release.
It's the time based release model used by Mozilla and Ubuntu
http://wiki.documentfoundation.org/ReleasePlan