Maybe you can help me out wartotem.
Basically I took d/dr of x'
which gave me avoidance / avoidance rating at a given avoidance rating.
Simply inverting provides me with avoidance rating / avoidance as follows:
1000 -> 200.7906
1100 -> 204.1265
1200 -> 207.4899
1300 -> 210.8807
1400 -> 214.2991
1500 -> 217.7449
1600 -> 221.2182
1700 -> 224.7190
1800 -> 228.2473
1900 -> 231.8030
2000 -> 235.3863
2100 -> 238.9970
2200 -> 242.6352
2300 -> 246.3009
2400 -> 249.9941
2500 -> 253.7147
The issue is my ratings are always low balling yours.
I can tell that mine are incorrect because @0 rating, it suggests that I only need 168.943 rating to get the the first percentage point (not semantically true, but you get the point).
Actually, subbing 1000 as r for you, comes up as: 200.1 not the 204.2 you have listed. Is there something muddled in your loop/spreadsheet?
Yours also behaves oddly on the low end of rating values.
EDIT: actually i can't get your formula to throw out any of the values from your result. Either I'm misunderstanding how you intend for it to be used... hopefully you have a ctrl + v error.
EDIT: The issue seems to stem from the fact that I catch 1.0296% avoidance from the first 176.7189 avoidance rating in my original formula:
x' = r * C / (r + 176.7189 * k * C)
C = 65.631440
k = 0.9560
It's weird that despite diminishing returns, it still yields more avoidance than the avoidance per rating stat - which is defined as: before diminishing returns.
Last edited by Booi; 05-03-2011 at 03:46 PM.
Reason: took out some rubbish
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