Figured you math dudes (and dudettes) could knock this one out of the park!
I've got a website that stores users' game scenario results. Each scenario record can have one of three possible results: Side 1 wins, Draw, or Side 2 wins.
To this end, I'm currently representing balance by showing the simple percentage of total victories for each result. Example:
Result Totals Side 1 - 5 Draw - 1 Side 2 - 4 Display Side 1 Draw Side 2 50% 10% 40%
but the astute reader will immediately note that using this methods means a scenario with 5 plays split 2-1-2 and a scenario with 100 plays split 40-20-40 will have the same apparent "balance".
What I would like to do is take into account the total plays for a scenario. Thereby, a scenario with a split of 41-20-39 will rank much higher than one splitting 2-1-2, even though the simple percentage is actually less balanced.
Does that make sense? Ideally, this would map to a scale of some sort, so scenarios could be given discrete balance ratings.
Thanks for any help you can provide.