AdamJT13;3182327 said:
That's not true, though. A team that is great at passing and lousy at running will almost always be more successful than a team that is good at passing and good or even great at running.
If you're already great at passing, of course you'd rather be good or great at running than to be lousy. But it's not as important as being even better at passing.
The entire discussion is easy enough to abstract from football, and I think using the "# of run plays vs. # of pass plays" confuses the issue. It's more a question of risk appetites, and both running and passing plays run the gamut of risk aversion. Isn't an end around much more like a passing play in terms of its risk-reward profile than a quick out?
A pass or "high risk play" should have and typically does have a higher expected value in terms of yards, and a higher volatility. This tends to hold true even for teams with inferior passing games. Likewise, a running play has a lower expected value and a lower volatility. On average, teams that have the personnel to execute more "high(er) risk" plays are going to be more successful, all else being equal.
Of course, all else isn't exactly equal. The difficulty is that football is composed of a pretty large number of objective functions that need to be solved to determine optimality. The risk-reward function has a different solution on 3rd and 1 or at the Goal Line. The risk-reward function has a different solution when you're up by 6 with 5 minutes left in the 4th quarter. The risk-reward function has a different solution when your opponent is playing you from the Dime on 1st down.
I think a lot of research, both empirical and purely theoretical, seems to support the idea that efficiency on high volatility plays and the ability to generate low opponent efficiency converting high volatility offensive plays are the primary determinants of success. But there are just too many objective functions that require a successful running game to make the argument that it's not a significant secondary determinant of success.
None of that, however, really speaks to "run and pass mix." The mix is a messy, confounding number that doesn't always reflect the actual mix of risk or the real gameplan. There's no right number because every drive is its own beast with its own objective functions, determined by a huge number of variables.
Ignore the mix. Observe the efficiency.
(Obviously just reiterating some of your points, Adam, selecting your post to reply to was just random)