Thanks drew24 for looking at last year's standings under the two options for scoring. I'm leaning towards increased point values as the tournament progresses.
Scoring would be as follows:
No points to teams that win the play in games.
Round of 64: 1 point per win
Round of 32: 2 points per win
Round of 16: 3 points per win
Round of 8: 4 points per win
Round of 4: 5 points per win
Round of 2: 8 points per win (Winner is National Champion)
I prefer this scoring as it give a bonus to the team the picks the National Champion, but not such a huge bonus that it automatically determines the winner.
Issues?
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