Going For Two

By Robby Wellington – Staff Writer

Today I am coming off a long hiatus to talk about GOING FOR TWO!

Yesterday, Dalton brought up the issue of 2-point conversions and loyal RotoScoop reader, Chad, had the following to say:

“One last thing though Dalton…I’m not sure if you estimated those success rates on the Extra Pt vs. 2 point conversion, or if you pulled them from a stat somewhere…But obviously every team has a different success rate. But the expected value of those two is indeed pretty close.

Expected Value of Extra Pt. = 99*1 = .99
Expected Value of 2pt Conversion = .45*2 = .90
Difference in expected gain is only 9 hundredths of a point.

I actually use this example when tutoring my students in game theory. But I usually say, if the extra point is 96% likely (which I believe is the correct stat), what success rate at 2 point conversions would you need, to make attempting a 2pt Conversion every time to be feasible? The correct answer would be 48%. In the 1990s, the average across the league was indeed much less than 48%, but over the past two seasons it is more than 50% and has been climbing for the last few years. Obviously I understand the value of “nearly guaranteed points,” but as a statistician, I prefer the idea of maximizing total points scored over the game. At certain points in the game, there would be no reason to go for two, because the added bonus of the two point conversion may provide you no additional gain. The most obvious example would be a tie game in the fourth quarter. So in those cases, the statistics don’t apply, but in the first half, going for two seems like the better choice.

Also when down two touchdowns late in a game (10 mins or less left in 4th) YOU SHOULD ALWAYS go for two on the FIRST score. No matter what, you’ll need two touchdowns. If the attempt is no good, you can still tie on a second score with another 2pt attempt. If the 1st attempt is good, an extra point on the second score wins the game. Conversely, if you choose to kick the first time, you are committing to overtime at best. Unless some crazy coach wanted to go for two on the final score, to be faced with a win/lose scenario riding on a 2pt conversion.”

For the most part, I have to agree with Chad. First off, I have been talking about going for two when cutting a late deficit to eight points (i.e. scoring the first of two touchdowns to tie a game) for years now and am dumbfounded when no one ever does it (Check out this article for more; it looks like some bozo in Montana ripped off the idea).

This move is almost as critically underutilized as letting a team score a late touchdown to go down eight instead of letting them run out the clock, which is what Joe Gibbs presumably did on Sunday.

Back to two-point conversions, I do actually think teams should go for two a bit more than they currently do. Since the inception of the two point conversion in the NFL in 1994, conversion percentages have hovered in the mid to low 40s, with the number climbing up above 50% for the past two years as attempts have declined. Without getting too caught up in statistics (determining what counts as “statistically significant,” etc.), I’ll just go ahead and say that the NFL average conversion rate in a close game is probably slightly less than 48%, which is half the 96% success rate of PATs.

This means an average NFL team in an average situation against an average defense should kick the PAT.

However, there are two scenarios where I think teams should go for two. One is where they feel as if they have a 50% chance or better of converting, whether the offense is on a roll in the game, the defense is terrible, the Pats are playing (seriously, why hasn’t Belichick gone for two every time this year?!), Plaxico Burress is matched up on a 5’9” cornerback; basically any scenario when a team feels they have a better than average chance of converting. This is, of course, excluding obvious situations where a team is down one point, or seven points or three points later in a game.

Which brings us to the other factor in determining whether a team should go for two or not: the score and time of the game. Take Sunday’s Eagles vs. Redskins game. Let’s go ahead and assume that both team’s had the same chance of converting the two, and that this chance was slightly less than half their odds of converting a PAT. I still credit the Eagles with going for two but fault the Redskins for the same tactic. Why? Well, the Redskins went for the conversion in the first half, in an effort to go up seven points instead of six. That early in the game, it is virtually impossible to determine what is going to happen to the score later and an early lead of 6 points is certainly not the same as a 5 point advantage. In fact, the advantage of 7 points over 6 is no greater than that of 5 points over 6, right?

On the other hand, the Eagles went for two to tie the game late in the third quarter. Sure, they went down nine points in the fourth quarter, but they would have still been down eight and would have still had to get a conversion later in the game. The disadvantage on not converting and being down two was not nearly as great as the advantage of converting and tying the game relatively late in the contest.

Anyway, it is late now and people are carrying a full-on conversation in front of me, clearly oblivious of my blogging effort. But I promise to write something good soon, and it won’t be entirely theoretical. Thanks!


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7 responses to “Going For Two”

  1. RotoScoop Avatar
    RotoScoop

    My main argument, which you touched on Robby, is that coaches are far too often short-sighted in looking at the scoreboard and don’t give enough credit to the fact that many different scoring scenarios can come about, yet they want a nice round number immediately.

  2. chad Avatar
    chad

    robby, nice article. I’m all about theoretical discussion as well as statistical analysis…
    I’m super busy this week through today, but If people are interested, I’ll show you guys what I came up with for the Chargers… but you’re right Robby, statistical significance is actually very important to this issue.
    The issue of small sample size plays a huge role in the variance of the success rate of two point conversions from year to year.

    to alleviate that issue, what I’ve begun to do, but is quite time consuming, is to assume that any 3rd and goal between2 and 3 yards to goal (subtracting the situations where they would choose to go for it on 4th, should they fail, meaning down by more than 3 very late in the game) then that 3rd and goal from the 2 situation would be touchdown or field goal, essentially similar to a 2 point conversion situation. although it’s not identical, the situation is close enough to significanly boost the number of the sample size. Anyway, i’m workign with the chargers, mainly because i’m most familiar with recovering their stats.

    I’m pressed for time right now, but i’ll email my full analysis to 3D when i’m done later this weekend.

    but also regarding dalton’s argument, he’s right there are certain scoring situations that make it just silly to go for two. I think in the first half though, and this is where my thoughts are different than most, if you’re one of the teams that is above the NFL average of success rate, you should be going for two every time in the first half.

  3. chad Avatar
    chad

    …. That is my counter to your point that, “That early in the game, it is virtually impossible to determine what is going to happen to the score later” which is exactly why if you are over the league average, you should try to get the maximum expected gain, which for teams that convert more that 48% should go for two as much as possible in the first half. Regardless of unpredictability, i don’t think anyone argues that maximizing your scoring in the first half puts you in a better position to win the game. Even if it would only end up making a 2 or 3 point difference by the half, could be very well the difference maker in the second half.

  4. Brett Avatar
    Brett

    Nice work Robbie

  5. Robby Avatar
    Robby

    I would say that if you feel you have a 50% chance or better of converting a 2-point play (fine, 49% or better) you should go for it. One counter to this argument is whether or not a team’s conversion rate goes down the more they try it? Does a team have one or two really good conversion plays that they need to keep in the bag so as not to blow their load early before needing to use it in a really valuable situation? Ummm, probably not, but worth thinking about at least…

  6. Robby Avatar
    Robby

    PS – Chad, the down 2 TDs late theory also extends to any team down by multiple TDs in a game, esp. in the 2nd half. Think about it.

  7. chad Avatar
    chad

    I fully agree that going for two when down by 3 touchdowns is smart at any point in the game… sadly, making a comeback from 4 scores down is fairly rare, and more than that, nearly impossible.
    but I’m totally with you. once I finish getting a better sample together, I’d like to see what the stanford alum can come up with… after all, I went to public school…(and we don’t even have a football team)

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