Did we
really get all the way to Page 2 of this thread without someone taking a crack at something resembling a statistical analysis of this question? Sigh.
Well, because I
am a stat geek, I wanted some hard numbers to back up my gut feeling that you should never defer.
Football Outsiders to the rescue! They've got
offensive and defensive drive stats, by season, by team, going all the way back to the 2000 season.
As mentioned above, there are only 6 meaningful scenarios at play here ...
1) Opponent scores a TD
2a) Opponent scores a FG, you fail to score
2b) Opponent scores a FG, you score a FG
2c) Opponent scores a FG, you score a TD
3a) Opponent fails to score, you fail to score
3b) Opponent fails to score, you score a FG or TD
... in which you lose in (1) and (2a) and win in (2c) and (3b). For the remaining two, (2a) and (3a), your opponent gets the ball back in sudden-death format. In true sudden-death, the odds of your winning in that situation are right around 40%, but let's shade that up to 42% because I'm both feeling generous and a Douglas Adams fan.
Let's assume you have an excellent defense and a pedestrian offense - for instance, you're the 2011 Baltimore Ravens.
As per the FO link above, the Ravens' D yielded .120 TD's per drive and 1.29 points - by calculation, this implies .150 FG's per drive. (Both figures led the AFC, BTW.)
Meanwhile, their offense scored .200 TD's and 1.90 points (thus .167 FG's) per drive - both just slightly above the 2011 NFL average.
Our weighted chances of winning by scenario are then:
1) .120 * 0 = 0
2a) .150 * .633 * 0 = 0
2b) .150 * .167 * .42 = 0.011
2c) .150 * .200 * 1 = 0.030
3a) .730 * .633 * .42 = 0.194
3b) .730 * .367 * 1 = 0.268
-----
Total odds of winning = 0.503
Hmmmmmmm. One self-serving of crow, comin' right up!
Seriously: you can quibble about the exact assumptions I'm using, but deferring the kick in this situation appears to be
much more worthy of consideration than I would have ever suspected.