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Re: 2007 Red Advantage
Quote:
Originally Posted by artdutra04
Using data from the first 51 matches at the NJ Regional, the average score the the red alliance was just north of 33 points, while the blue alliance lagged at about 14 points. In the data used, there are several outlier scores from the red alliance (260, 98, 128 and 236 pts). If we exclude these from the average, then the average drops to only 20 and change, which is much closer to the blue alliance's average score.
But also to note is the standard deviation of the scores. Because of the outliers in the red alliance, the standard deviation for scores in the red alliance was 51.7195 points, whereas the blue alliance was only 18.676, meaning that red has a much higher spread of data. But if we again exclude the outliers, then the standard deviation of the red alliance drops to 21.087 pts, which is much closer to the blue alliance.**
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Using this information we can say with confidence that 68% of red alliance matches from this regional will have a score between 12 - 54 points. 68% of blue matches would be between 0 - 34 points.
My guess is that on a 95% scale that there is not a large enough margin to say this is significant, but I would have to have the data in front of me...And its been a couple years since I took statistics.
Also, I tend to agree with Karthik and believe that this may be a rare instance where medians are more powerful than averages because of the way the game is scored.
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