I found this to be especially enlightening. I never would have thought to look at steal attempts this way. I don't pitch the AQs here because, well, they're suited, and I'm in position, but the rest of this is solid gold. Thanks Chuck .TAG (15/11/4, ATS of %40, 100bbs) opens utg for 4bbs
Folds to Hero
Hero folds A♠Q♠ in the BB
It might seem strange noting his attempt to steal stat here, but it has an indirect and crucial affect on his range. ATS is effectively a preflop raise percentage for the last three positions (CO, BTN and SB). If the stat is relatively high (read: %40), then that means that his early position raising ranges must be inversely proportional, ie very tight, in order to average out to the PFR% we see. I'll omit the maths behind it for the sake of simplicity, but in general if a player's ATS is much higher than his PFR, then not only will his late position range be wide, but his early position range should be proportionally smaller.
So in our example hand, considering the fact that his range is much tighter than the perceived %11, and that we'll be out of position against a very aggressive player for the rest of the hand, our A♠Q♠ isn't looking so hot anymore, and we pitch it.
I found this to be especially enlightening. I never would have thought to look at steal attempts this way.
PS. Printed this and read it at work today.