Two posts ago, the fairness (B) statistic was generalized so as to be applicable to any round in a bracketed tourney. And in the last post, I inverted the fairness (B) and fairness (C) statistics to make them easier to interpret. It’s time to put these new tools to work to show how they can provide a clearer picture than the old ones. To do this, I’ll revisit the question discussed by one of the earliest of tourneygeek’s empirical results in Shifting a 32 Bracket.

n.b., this analysis was briefly posted using the old, un-inverted statistics and (much worse) with significant mistakes in the analysis – the current version is, I hope, not only clearer but more correct.

Continue reading “Using the new tools: f(C), f(B) and f(b) in the 32 Bracket”