Week 2, Patriots at Bills
4th-and-1, 1:18 remaining in 4th quarter, Up by 5
The Patriots attempted a field goal on a 4th-and-1 on the Bills’ 8. A no brainer here: the NYT 4th Down Bot would have gone for it.
If you disagree

The coach’s decision to attempt a field goal is the right call if you think the Patriots’ chances of converting on fourth down are less than 34 percent. But based on my analysis, I’d give the Patriots a 67 percent chance to get a first down here.

Here's the full breakdown of my calculations:

Option Chance of converting
Chance of winning
Before play
After play Change
Go for it4th and 1, opp. 8 67% 86% 92% +6%
Field goal try25 yard kick (est.) 97% 86% 85% –1%
Punt 86% 78% –8%
My decision in context

Along with some circuitry to come up with a win probability for every game situation, all you need to figure out what you should do next is an estimate of how likely you are to make a field goal or convert a first down.

My estimates for these are based on the results of thousands of similar plays, but you may think you're smarter than I am. This chart shows you how changing those estimates would change my recommendation.

What to do on 4th-and-1 on opp. 8
Up by 5 with 1:18 remaining in the 4th quarter
How important was this call?

If the coach had gone for it instead of attempting a field goal, I estimate the Patriots’ chances of winning would be about 92 percent instead of 85 percent.

What coaches usually do

Based on about 991 fourth downs in similar situations since 2001.

What happened

Stephen Gostkowski 25 yard field goal attempt is GOOD.

Where did these numbers come from?

To estimate a team’s chances of winning, I use a mathematical model that accounts for a whole lot of variables — including the difference in score, the time remaining in the game, and the number of timeouts each team has left. On top of that, I have models for the likelihood that a team makes a field goal and the likelihood that it will convert a first down.

By combining all of this information, I can come up with the best decision a team can make, according to math.

If you want even more details about the numbers behind my decisions, my full model is available on GitHub. Help make me better!