TheDude
McLovin
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I don't disagree with you, Adam, or PH. Two are speaking about statistics and you are looking at specific variables that 'bent' the game. If you marry the two then you get a more secular view.
The reply probably isnt to you, but I am heading out into 1 1/2 hours of traffic screwing around on this
So when you are at a casino, Im sure many have seen the history of of roulette spins. This is posted to drive the sucker/trend bet. Say black has come up 5 times in a row. The odds of that occurring (std 38 american numbers) are 47.3684%*47.3684%*47.3684%*47.3684%*47.3684% or 2.3848%. So many compute that red is a sure bet. However, the odds of black on the next spin is remains at 47.3684%. The next play is agnostic to preceding history. so fine over time, the law of large numbers should hold and it smooths. That is why there are table limits so whales can't infinitiely bank roll loss runs like this waiting for the law of large numbers to return (i.e. bet $100-lose, bet $200 next - lose, bet $400 lose, etc.)
Same thing with a penny. If I flip heads 10 times in a row, that was interesting and a 0.098% chance. But the next flip is still 50/50. The history doesn't change the near term results.
In football, Once a team gets a first down, everything resets. If the start on the 20, the probability of scoring is low, get a first down to the 30, odds increase. Once you are ending a drive on a final set of downs, the next play (or set of plays) is not beholden to ANY history of the drive.
This is a standard misconception of stats and idiosyncratic predictability. To prove with data I took all plays in the nfl from 1998 to 2014. I looked at the result of drives that's last line of scrimmage was inside the opponents 28 yard line for 3 sets:
- All drives
- Only drives that started inside the the driving teams 20 yard line
- Drives that started inside the opponents 40 yard line
- An offensive score resulted > 81% of the time
- TD % was highest for drives starting inside the teams own 20. (average starting field position is the 16 yard line)
- A blocked FG is exactly 0.3% in all cases
Summary
Leaving a situation that results in a score 80% with no points is similar to leaving a runner on third with no outs. It is agnostic to whether the shortstop made an error or if the defense allowed an opposing QB a higher rating than normal.
Washing situations like these away in football in "the offense played fine" ultimately means the team leaves 80% opportunities for a score on the table every week on average.
The per drive stat is interesting over a history, but CANNOT be assumed to hold for a given game. especially if the focus is on start vs finish