Re: calculate play ranking based on games played



In article <2007110814473516807-kirakun@earthlinknet>,
Kira Yamato <kirakun@xxxxxxxxxxxxx> wrote:

On 2007-11-08 12:17:21 -0500, Robert Israel
<israel@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx> said:

= (x+1)/(n+2)

So your 6 out of 6 should be worth a ranking of 7/8 or 87.5%, while
the other player's 99 out of 100 should be worth 100/102 or about 98%.

Interesting... So, in a loose sense, you are penalizing every player's
winning percentage by at least
1 - (n+1)/(n+2) = 1/(n+2)
so that players who have played more games will be less penalized.

It's not really a penalty, more of a regression toward the mean. The less
information available (fewer games completed), the greater the regression.

If the performances are below 50% actual wins, the regression will raise the
score of the player who has played fewer games more than the player who has
played more games.

--
Randy Hudson
.



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