KnowledgeReignsSupreme
Footballguy
http://www.footballcommentary.com/analysis2006week9.htm
Some alternative thinking for all you "it's too early to go for 2 until you know you need 2" crowd.A routine two-point-conversion decision wouldn't merit inclusion in this year's strategy reviews, but this one was hardly routine: With 12:55 left in the second quarter of the game between Dallas and Washington, Dallas coach Bill Parcells elected to go for two after Dallas scored a touchdown to take a 6-5 lead. This is the earliest two-point attempt we are aware of in a non-preseason NFL game.
This isn't the first time that Parcells has elected to go for two in the first half. Against Seattle in Week 13 of the 2004 season, Parcells went for two when trailing 14-12 with 6:08 left in the second quarter. In our analysisof that game we concluded that Parcells's choice was actually correct—or at least would have been if he hadn't wasted a timeout thinking it over.
Not only did the decision to go for two against Washington come considerably earlier in the game, but leading by 1 is a situation less favorable for two-point conversions than trailing by 2. Calculations using the footballcommentary.com Dynamic Programming Modelindicate that there was little benefit to Dallas from going for two. According to the Model, kicking gives Dallas a win probability of 0.562. If the Cowboys go for two, their win probability becomes either 0.592 or 0.537, according to whether the try succeeds or fails. One can check that the probability of success has to be nearly 0.46 to make going for two worthwile.
Overall success rates on two-point conversions have in fact been running above 46% in recent seasons, so we see no reason to criticize Parcells's decision. Actually, the proper conclusion is that Dallas's probability of winning is almost exactly the same whether they kick or go for two. Even if their probability of success on the two-point conversion is only 0.4, their win probability if they go for two is 0.4 × 0.592 + (1−0.4) × 0.537 = 0.559, which is only 0.003 less than their win probability if they kick. Similarly, even if their success probability is 0.5, going for two yields a win probability of 0.5 × 0.592 + (1−0.5) × 0.537 = 0.565, which is only 0.003 more than can be obtained by kicking.
The Chart we prepared for two-point conversions, using the Model, omits the first half of the game. That's because going for two early in the game will never provide a sustantial increase in win probability. But if going for two early in the game is never required, neither is it ever a significant mistake. In fact, as long as the success probability isn't much below 0.5, going for two early in the game will give about the same win probability as kicking. We explained why in a previous article.