05-23-2012, 03:43 PM
I would suggest to add in player statistics, for the gamemodes in which a Xonotic user has gained sufficient games in order to have a rankable ELO, its percentiles in these modes.
The formula giving percentile of player placed p-th in a list of n players is 100*(1-(p-1)/(n-1)), assigning a percentile of 100 to the first, a percentile of 0 to the last (assuming it exists, i.e. there are no two or more players holding the worst ELO), and decreasing linearly.
For example, a player for which the number of players holding an ELO below its one is three times the number of players holding an ELO above its one, will have a percentile of 75, while a player for which the number of players holding an ELO above its one is three times the number of players holding an ELO below its one, will have a percentile of 25. A player for which there are the same number of players above and below him, will have a percentile of 50.
In this way, it will be more clear how a player is stronger or weaker with respect to other players.
The formula giving percentile of player placed p-th in a list of n players is 100*(1-(p-1)/(n-1)), assigning a percentile of 100 to the first, a percentile of 0 to the last (assuming it exists, i.e. there are no two or more players holding the worst ELO), and decreasing linearly.
For example, a player for which the number of players holding an ELO below its one is three times the number of players holding an ELO above its one, will have a percentile of 75, while a player for which the number of players holding an ELO above its one is three times the number of players holding an ELO below its one, will have a percentile of 25. A player for which there are the same number of players above and below him, will have a percentile of 50.
In this way, it will be more clear how a player is stronger or weaker with respect to other players.