I can't lose a coin flip but win more afterwards if I try harder or add a new coin, or use a new technique.
On the other hand, I can in hockey.
It's funny because some of the weaknesses in advanced stats come from using too small of a sample size. However, other problems occur in using stats from the beginning of the season, without recognizing that teams evolve. So crappy early season results influence today's stat picture (not an "advanced" stat, but if you look at the Flames' PK % you'd think they are a pretty mediocre PK team right now. But they aren't).
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