Hi Folks,
We’re trying out a new format for the world rankings that includes more data about how the rankings and ratings changed as a result of the last matchup.
Deviation and Volitility are used by the Glicko 2 rating system (http://www.glicko.net/glicko.html). They’re not absolutely necessary for understanding the ratings but I know there are some folks out there who will like to have them.
Enjoy!
Update:
Details have been requested so here’s the rest of what you need to understand how we’re using Glicko 2. These are fairly specific details so feel free to ignore them if you don’t get excited by math
Assume the shards are sA, sB, and sC. In order to handle a 3 way battle we treat each match as having two battles for each shard. So when calculating the new rating for sA the two battles are sA vs. sB and sA vs. sC. Likewise for sB and sC. Naturally, we do all the calculations before updating any of the data.
We use a Tau of 0.6 and a k of 1.0
In standard Glicko 2 scores are represented as 0.0 for a loss, 0.5 for a draw, and 1.0 for a win. We use a slightly modified version that takes into account score differential. I’ll explain how using the sA vs. sB battle as an example. To calculate the glicko score for sA in the sA vs. sB matchup we do the following:
sAPercent = sAScore / (sAScore + sBScore)
sAGlickoScore = (sin((sAPercent – 0.5) * Pi) + 1) * 0.5
where sAScore and sBScore are the raw scores from the end of the match.
That last transform is easiest to visualize as a graph . Other than that it’s all standard Glicko 2.
Have fun doing the math!
Update 10/5
New ratings & rankings will be coming out later today but because I know some of you want to use the rating data in your own site/applications here’s the data from this post as text:
Na
Name Rank Delta Rating Delta Deviation Volatility
Henge of Denravi 1 0 2143.024 5.851 198.446 0.97
Stormbluff Isle 2 0 2047.433 18.399 195.343 0.969
Jade Quarry 3 1 2044.008 58.468 205.496 0.973
Eredon Terrace 4 -1 1987.599 -24.954 198.027 0.972
Isle of Janthir 5 2 1778.195 86.539 193.653 0.972
Crystal Desert 6 -1 1736.463 -51.728 196.391 0.973
Dragonbrand 7 -1 1727.172 -1.89 199.008 0.972
Blackgate 8 2 1693.438 80.143 191.771 0.971
Fort Aspenwood 9 0 1598.208 -25.806 192.261 0.971
Sea of Sorrows 10 -2 1595.569 -60.171 193.3 0.97
Tarnished Coast 11 2 1570.334 64.755 192.341 0.971
Gate of Madness 12 -1 1533.334 -41.097 191.082 0.969
Yak’s Bend 13 -1 1529.409 -38.597 191.596 0.974
Maguuma 14 0 1447.741 -43.134 192.273 0.969
Ehmry Bay 15 0 1432.651 -22.869 197.303 0.972
Sorrow’s Furnace 16 0 1388.459 -5.07 191.216 0.969
Sanctum of Rall 17 0 1371.209 -21.589 191.251 0.968
Darkhaven 18 0 1367.179 27.301 192.631 0.97
Northern Shiverpeaks 19 1 1334.709 188.69 206.117 0.989
Anvil Rock 20 -1 1169.814 -143.691 204.597 0.984
Borlis Pass 21 1 1125.783 70.803 223.876 0.979
Ferguson’s Crossing 22 -1 1022.023 -34.62 206.1 0.973
Devona’s Rest 23 0 723.686 -53.993 211.691 0.975
Kaineng 24 0 615.89 -8.437 225.012 0.977
Eu
Name Rank Delta Rating Delta Deviation Volatility
Vizunah Square FR 1 0 2058.176 -10.866 206.669 0.973
Far Shiverpeaks 2 0 1886.71 -0.751 198.36 0.97
Riverside DE 3 0 1866.576 9.291 198.116 0.97
Desolation 4 0 1804.8 1.706 196.767 0.969
Augury Rock FR 5 0 1723.34 16.141 192.558 0.968
Arborstone FR 6 4 1702.86 52.072 191.129 0.972
Elona Reach DE 7 1 1695.781 27.423 190.429 0.968
Kodash DE 8 -1 1674.053 3.88 190.99 0.967
Gunnar’s Hold 9 -3 1662.167 -18.389 192.88 0.968
Seafarer’s Rest 10 -1 1630.724 -31.319 190.548 0.97
Blacktide 11 1 1625.987 11.587 190.345 0.966
Baruch Bay SP 12 1 1607.816 0.391 191.085 0.966
Aurora Glade 13 -2 1562.81 -63.208 190.425 0.969
Fort Ranik FR 14 1 1551.208 21.225 191.183 0.968
Jade Sea FR 15 2 1549.531 141.963 192.603 0.979
Gandara 16 -2 1545.292 -21.452 190.526 0.967
Underworld 17 2 1446.024 48.356 192.714 0.97
Abaddon’s Mouth DE 18 -2 1414.024 -99.479 193.711 0.973
Vabbi 19 -1 1357.828 -43.918 193.274 0.971
Ring of Fire 20 0 1352.937 0.545 193.992 0.971
Piken Square 21 1 1302.943 43.763 194.132 0.969
Whiteside Ridge 22 -1 1255.43 -49.342 193.454 0.97
Miller’s Sound DE 23 1 1206.487 26.538 194.218 0.971
Dzagonur DE 24 2 1147.409 170.19 195.991 0.986
Drakkar Lake DE 25 -2 1133.909 -68.605 192.424 0.97
Ruins of Surmia 26 -1 915.472 -137.637 198.32 0.98
Fissure of Woe 27 0 820.931 -37.014 199.609 0.973
I’ll be sure to include text data along with our pretty (?) pictures in subsequent posts.
ArenaNet Gameplay Programmer
(edited by Moderator)