dbair1967;1429208 said:
same thing can happen in regulation games Theo, is that unfair?
David
That's a completely differenct scenario. During regulation, the opposing team always has the chance to get the ball back and win. In overtime, all a team has to do is get one single lucky break and poof the game is over. The opposing team isn't given an opportunity. The only comparison in regulation is when a team gets the ball with little time left and drives down to kick a game winning FG, but that's not an adequate comparison.
abersonc;1429382 said:
There is no margin of error in measuring a population. The MOE is the standard deviation of the population divided by the square root of the size of the sample then multiplied by some test statistic parameter (e.g., chi-square for 95%
. No sample = no MOE.
The coin flip example is not an entire population. The population of coin flips in infinite. The population of games that went into OT is not. There were something like 350 and all were measured and reported.
So, 100 coin flips
isn't entire population, but 300 football games
is entire population? There's no difference. There are potentially infinite coin flips, and there are potentially infinite football games in OT. You can't use 55 out of 100 flips being heads to claim that the coin is rigged in heads favor, just like you can't use 52% wins out of 300 football games to claim that the coin flip decides the game. (Note: Obviously, I think there is some level of influence in the coin flip and I think this should be eliminated, but that's not what we're talking about at this point. My point is that I don't know whether the sameple size is large enough to know how correct the 52% number is.)
I can take a 10 year old company's stock and measure it's performance against the market for 10 years (which would be "an entire population" for the company's stock), and if the cumulative abnormal returns are small enough, then the number will not be statistically significant. I can similarly take 30 years of football games and measure the results against coin flips for 30 years (which is what we're doing here). If the abnormal results are small enough, then the difference will not be statistically significant.
To illustrate the problem, over the next 5 year span, it is entirely possible for the team that loses the coin flip to win every single OT game. That would likely change the results sigificantly. Let's assume that it would change the results to the coin-flip loser winning 55% vs. the coin-flip winner winning the game 40%. At that point, you couldn't make the argument that
losing the coin helps win the game, because obviously there is some level of chance in the results. Statistical significance states whether the abnormal results (compared to the coin-flip having absolutely zero impact, i.e., teams spliting 47.5-47.5-5) of the sample size (which is all this is) are meaningful -- in other words, whether they're true.