@ diatarn_iv :
Your formula does not give 100% to the most reliable player ! It doesn't give either 50% to the median-reliability player.
Indeed, suppose there are 100 players on the site (n=100), player P is the most reliable one. As a consequence there are 99 players who have a worse noCD ratio than player P (m=99).
And so, according to your formula, player P would have a reliablity score of 100*99/100 = 99.
Also, what is the point of knowing the median-reliablity player ?
For example, let's suppose this extreme but easy to understand example :
There are 101 players, 50 players have missed 0 Phases, 1 of them has missed 1% of his played Phases and 50 players have missed 5% of their played Phases.
Then, according to your formula, the player who has missed 1% of his played Phases has a "Reliablity Rating" of 49,50%. Does that make sense ?
In other words, there is no point in knowing if a player is relatively reliable compared to the other players of this site : what we want to know is if a player is reliable.
Gentlemen, your are trying to complicate uselessly things.
When people make a statistics, it is always in order to show something : either to oneself in order to understand something or, most of the time, to show something to other people. So the question that one should ask himself when he calculates a statistics is "Is my statistic going to show to people what I want them to see ?"
Oli, if you really believe that an 85% NoCD rating looks too good, then what we need is to *educate* people. Maybe a clear notice could be written somewhere on this site saying that it is expected that players (almost) never NMR or CD.
Finally, if you still really think that people are so stupid that they do not understand such an easy concept as not NMRing or not CDing, which is actually just a matter of simple respect, and if you really think that they need some statistics that shows them how bad is their Reliablility Rating, what do you think about this most easy formula :
Reliablity about not NMRing is equal to :
NoNMR ratio ^ 2.
For example, a NoNMR ratio of 85% gives a result of 72,25%.
If you think that this result still looks too good for those who don't understand that they should (almost) never NMR, then replace 2 by 3 and the result becomes 61,41%.
If you still think that it looks too good, you can use any higher number after the ^ so that the result gives you the impression that you find correct to your taste.
But once again, wouldn't it be so much easier to *educate* players so that they *understand* that a NoNMR ratio of 85% is really terribly bad ?