The fact that you have to quantify the difference in your "stat" to a significant degree in order to show the same correlation as ANY difference in ANYPA, and the fact that 85.5 PERCENT OF YOUR "STAT" IS BASED ON PASS PLAYS, show how laughable your position is.
ANYPA is a manipulated composite stat.
ANYPA does not appear to correlate any better than just the old axiom that the team that wins the turnover battle usually wins. Turnovers correlate to winning between 80% and 92% of the time of similar numbers depending on the exact time frame of reference.
The fact that ANYPA contains INTs as part of the formula in an effort to improve "correlation" is comical.
You continue to repeat that rushing does not correlate to winning or to improving passing, but you're generally using rushing yards in a specific game as your determining factor. I've shown multiple reason that trying to measure the impact of rushing in football using yards is silly.
Again 2 offenses can have 50 yards against the same defense but that defense can play 8 in the box against 1 offense and 7 in the box against the other offense. The available stats can't differentiate that simple change by the defense adjusting to limit rushing; however, it obviously makes passing easier when there is one less defender in coverage.
The other primary issue from a statistical viewpoint is that rushing yards tend to be around 100 per game and passing yards tend to be around 300 per games. It is obvious from the simplest mathematical viewpoint that a differential in rushing as measured in yards it not going to correlate like passing because rushing as measured in yards is a small percentage of the overall yards gained in a game.
The bottom line is that everyone knows that rushing has
some impact on the passing game but that impact is currently undefined mathematically. The fact that you can't define it mathematically does not in any way suggest that it does not exist. You continue to try to use
per game rushing yardage differential to define it when as above I've explained why that is a waste of time.