Saturday, August 25, 2007

The Formula

R = [(α + γ/2) ÷ 2(α + β + γ)] + [(δ + ζ/2) ÷ 3(δ + ε + ζ)] + [(η + ι/2) ÷ 6(η + θ + ι)] - [κ ÷ (α + β + γ)] + λ
αnumber of wins

 

Wins and ties with opponents not in the Football Bowl Subdivision are not tabulated.  All losses, regardless of the division or subdivision of the opponent, are tabulated.
βnumber of losses
γnumber of ties
δ number of wins by opponents
ε number of losses by opponents
ζ number of ties by opponents
η number of wins by opponents of opponents
θ number of losses opponents of opponents
ι number of ties by opponents of opponents
κ number of losses to teams not in the Football Bowl Subdivision
λ quality win pointsGiven that Team Α is in the Football Bowl Subdivision, the value of λ for Team Α is 0 unless it has defeated one or more teams for which the following equation is true:
[(α + γ/2) ÷ 2(α + β + γ)] + [(δ + ζ/2) ÷ 3(δ + ε + ζ)] + [(η + ι/2) ÷ 6(η + θ + ι)] > .66666
then, the value of λ for Team Α is the sum of the applications of the values of such teams to the following argument:
[(α + γ/2) ÷ 2(α + β + γ)] + [(δ + ζ/2) ÷ 3(δ + ε + ζ)] + [(η + ι/2) ÷ 6(η + θ + ι)] - .66666

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