You have to understand, no one person is coming up with this.
I sort of figured given that you asked how do you measure it lol!
The feeling is, pitches per pa needs to be compared to the team average. In theory, that will show aggression/passiveness as players who are below the average in PPPA will be the more aggressive.
I disagree on the stat used, but that was my point about defining what we mean when we say "aggressive" or "passive."
But, what you need to do is make sure the next time you tell Mary she needs to be more aggressive, she has to understand it exactly the same way you do, and not just assume she understands what you mean.
Absolutely.
Much of the time these discussions don't get started correctly. You must define any subjective/descriptive terms for everyone and get consensus on the definitions before you can even try to find the right or best or most useful way to measure.
Lower than average (how much lower??? this is why I suggested using 1 or 2 standard deviations as a cutoff) PPPA seems not good, as it leaves out the batters who foul off a lot of pitches, or batters like Ted Williams (and apparently Mike Trout) who would take strike 1 nearly every at bat. The % of pitches swung at, controlled for % strikes seen seems much better, IMO. The best part about using a GLM in this case is that for every confounding factor you want to include you can simply control for it in the equation.
Not sure I like RC as a stand alone stat, but I'm willing to use it here. However, I wouldn't use it trying to explain my lineup to parents lol!