I was thinking about the recent thread regarding scores, and many players contentions that top ranked players were'nt actually that good.
I have come up with the following theory after thinking this over. While I limit my discussion to K/D as an example, it can be applied to most, if not all, statistical catagories. That said let's talk about fighter jocks and K/D.
First lets assume that there are about 6000 players (approximately correct based on the lowest ranks seen in the arenas although there's probably more with ties among ranks).
That means the 600th ranked fighter pilot would be in the top 10% of all players. By extension, he should be able to beat 9 out of 10 opponents he comes across, thus carrying a 9:1 K/D ratio (negligably less because of the plus one but we'll ignore that for purposes of this discussion).
We all know the 600th ranked fighter pilot carrys no where near that K/D ratio but this can be explained in part through random encounter. If he always ran into the better opponent on his 10th encounter then 9:1 should be accurate but this would rarely be the case. Theoretically, it could as easily be the 1st, 6th or 8th player he runs across but these encounters should equalize over time, thus reducing the anticipated K/D to 4.5:1.
This is still higher than our actual experience in the game, therefore other factors must be at work. Since skills among a large group rarely follow a straight line then subscription to the bell curve theory would bring us closer to reality. While this would be too complex a calculation for me without some substantive data, as I said it would get us closer to reality but probably not there yet.
Let's set aside the bell curve for now. We'll come back to it in a moment.
By theroy and extension then, if the 600th player should average 4.5:1 K/D then the 60th player should be at 45:1 and the 6th ranked pilot at 450:1. Finally the top ranked players K/D should equal his # of kills.
If you are a top ranked pilot and aren't near these numbers, then you must actually s*** and the further you are from these numbers the worse you s***. The Bell curve theory simply makes these numbers worse the higher up the rankings you go.
So, I can now state with mathematical accuracy that top ranked players actually s***.
to the great masses of AH, you are truly the best among us.
Alternate theories welcome.