03-24-2013, 03:18 PM
Hi all, can I report some considerations about percentile calculations?
1. The percentile formula is probably written as 1-p/n, instead of 1-(p-1)/(n-1). Players ranked 1 in their respective ladder should in fact have a percentile of 100.00, while they have a slightly lower number (and the difference is circa 1/n). Players ranked last (excluding what I say in 2.) have a 0.00 percentile, so I think the denominator is at the moment n (and not n-1).
2. n should be the total number of players ranked in the considered ladder, not the last position listed. That's because in any ladder there are a lot of players with the same ELO of 100.00, and then ranked pari merito with the same position number. If a player is the first above them, he shouldn't have a nearly zero percentile, because he is stronger than all of them.
Thanks.
1. The percentile formula is probably written as 1-p/n, instead of 1-(p-1)/(n-1). Players ranked 1 in their respective ladder should in fact have a percentile of 100.00, while they have a slightly lower number (and the difference is circa 1/n). Players ranked last (excluding what I say in 2.) have a 0.00 percentile, so I think the denominator is at the moment n (and not n-1).
2. n should be the total number of players ranked in the considered ladder, not the last position listed. That's because in any ladder there are a lot of players with the same ELO of 100.00, and then ranked pari merito with the same position number. If a player is the first above them, he shouldn't have a nearly zero percentile, because he is stronger than all of them.
Thanks.