I am trying to write a formula that would give a person a score, based on a formula.
It's for a video game, and I have worked up a formula using aggregate stats like total kills divided by total deaths, win percentage, etc. They are all ratios.
I also would like to multiply this by the number of games that they have played, but I am finding this dramatically effects the score when people have massive amounts of games.
How would I normalize this over my population?
Score = (Kills / Deaths) * (Wins / Games) * ( Games )
Is there anyway to give people credit for doing well over many games? I have people with 5000 games that have a massive score, even though the stats used in the rest of the formula are very bad. I don't want to do 5000 / 2 or 5000 / .1 because the problem persists. I'd like to somehow apply a normal distribution