FreeBaGeL
Footballguy
That's great that you've defined statistical variance for everyone that already knew that it was, but you don't seem to be applying it properly.You're making the same mistake that B3TD did, you're assuming statistical variance only applies in the negative direction. It applies both ways, and if the overall percentage in the long-run is above 50% than it's more likely to end up over 50% after the variance is applied than it is to end up under it.We all know that just because they missed their last 2 point conversion it doesn't mean they're going to make the next one. What you're neglecting is that, likewise, just because they made the last one doesn't mean they're going to miss the next one. The result of the last one has no effect on the result of the next one and if we're telling you that we've gone into the future and seen that the success rate is over 50% then each of those individually will have a more than 50% chance of converting, which means that each pair will have a better than 50% chance of leading to 2+ points. It's entirely possible for a sample pair of attempts that they miss both and get 0 points. Likewise it's entirely possible that for that pair they make both attempts and get 4 points (or make 1 and get 2 points). If the overall percentage is over 50% than we know that overall each pair will average more than 2 points while with extra points each pair will average slightly under 2 points (accounting for the occasional miss). We don't know the situation that each applies to, so if we have to choose one we take the one that gives us a higher predictable average of points.The other thing you seem to be taking issue with is the idea that just because they've made > 50% doesn't mean they'll continue to do so. While true, this is also true of anything else. They're not guaranteed to continue making 99.6% of their extra points either, yet that's a number you've continued to throw around. Regardless, this point is moot because we're operating under the hypothetical situation that we're all from the future and we already know that they've converted more than 50% in the coming season.This is the entire reason why I was posting.If it is successful even 51% of the time it would not be "successful". I come to this conclusion by my definition of success. The average margin of victory dictates that 96% of all football games are won or lost by more than 1 pt, in addition to this you have to account for variance.Variance is simply how the possible outcomes are distributed. If you went for it twice in a game and failed the first attempt, it doesnt mean you will succeed the second time, in fact you still have the same success rate as before - but the results to do not reflect the odds, especially with such a small sample size. For example if you flip a coin a thousand times its a safe guess it will be somewhere around 50/50 split, wherein reality it likely will not be (if it were over one hundred million attempts its a different story, but were talking about football and between 2000-2009 there were only 700 conversion attempts thats for all 32 teams).As I stated several times already in this thread, this is all without even accounting for variables which cant be quantified (Tebow, scheming and practicing, defensive preparedness, accounting for as conversion attempts go up the success rate goes down, etc) and throwing numbers around is even funnier, because there isnt a valid sample size out there that can even be taken seriously.
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It's entirely possible that even if they make it 60% of the time the misses still cause more losses than the successes cause wins. It's also possible that the successes cause more wins than the misses cause losses.

