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The Ranking System
PokerPages is currently using two different kinds of Ranking Tables.
Percentile System | Logarithm System
Logarithm System (PokerDollars)
The "natural logarithm" [player] rankings system gives no advantage to
simply playing more often -- but, it gives more weight to [especially]
good results, and [it is more 'forgiving' of especially] bad results,
such that one exceptionally bad result does not 'kill' your ranking [],
and one exceptionally good result will not give you a safe enough lead
that you can then just 'sit on'...
Calculation details:
Where "X" is [a player's] finishing place out of "N" players, each []
individual tournament result is valued at:
*** Log ( (N + 1) / X )
...averaged over his number of plays...for example, with 300-player
tournaments, a player finishing 1st, 300th, 300th would rate 1.9046,
just slightly better than a player finishing 45th every time, 1.9004...
And then these 'natural logarithms' are converted back into "percentiles"...
*** Log = "natural" base for logarithms -- a universal number known
as "e" = 2.718282... (second in 'fame' only to "pi" = 3.141593...)
-- and "natural logarithms" are logarithms "to the base e" -- that is,
numbers expressed as powers of "e"... The base "e" is key in many
mathematical applications.
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Converting logarithms back to percentiles
To convert the natural log score back to percentile, you need to use this formula:
(1 - exp (-L) ) * 100
The variable L is the average of all the natural log score. The 'exp' means the inverse of natural log.
For example, these are log scores from 3 different tournaments: 1.5, 2.0, and 1.0, so the average is 1.5.
Then plug that number into the above formula:
= (1 - exp ( -1.5 ) )* 100
= (1 - 0.22313016 ) * 100
= 77.686984
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Percentile System
Our "Percentile" Rankings were designed by a very well known RGP'er Barbara Yoon. We would like to thank Barbara for this very helpful contribution to PokerPages.
The Ranking system requires a player to register a minimum amount of results in each time period in order to qualify for a Ranked position. These minimums are as follows:
Daily: 1 result
Weekly: 3 results
Monthly: 12 results
Cumulative: 15 results
We thought for a very long time of ways to give a fair result to a player and had many factors to consider. We believe this Ranking system is the most fair and accurate method possible. The Percentile Ranking works as follows:
When a player finishes in "X"-th place out of a total of "N" players in an event, he/she achieves a "Percentile" score of :
(1 - (X / (N + 1))) x 100
A player's ranking would be based on his/her average "percentile" score, averaged over however many tournaments he/she plays in a particular time frame once the minimum qualifying amount had been played. That is, there is no real advantage in playing more often. So on this basis, finishing 1st in a 10-player single-table satellite would be worth approximately the same as finishing 18th in a 200-player event.
An example from the formula above:
Finishing 4th in a 10-player field = 63.64 "percentile".
Finishing 73rd in a 200-player field = 63.68 "percentile".
Finishing 10th in a 50-player field = 80.39 "percentile".
Finishing 98th in a 500-player field = 80.44 "percentile".
Overall ranking for a player achieving those four results would be:
(63.64 + 63.68 + 80.39 + 80.44) / 4 = 72.04 "percentile".
This means that on average, this player is beating around 72% of the field in the tournaments they play in.
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