Joe7...There is optimal levels of oxygen and then there are all points leading up to it. I am trying to find the data for this, but it has been sooo long since I bothered with this. I do know that when I was exploring this issue it prompted me to get an oxygen stone, which I highly recommend. Having said that, I have never had a stuck fermentation that resulted from lack of oxygen when simple agitation was used. I seem to remember that yeast prefer oxygen levels at around 25 ppm. Agitation yield only about 8 ppm, but if you do it several times throughout fermentation you can compound the effect. About 20-30 second with an oxygen stone gets you there right of the bat. You'll know you have potential oxygen problems if you miss your taget gravity by too much (although this may be caused by a couple of other issues).