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Rank Player Rating

mu (µ)

Uncertainty

σ

TrueSkill Rating

γ

1 opsayo 39.20 1.85 33.66
2 rtcll 35.87 1.58 31.11
3 Stork 36.24 1.79 30.86
4 n0va 32.97 1.50 28.46
5 sleep 32.83 1.53 28.25
6 brickhead 32.64 1.54 28.03
7 RaNus 32.06 1.51 27.54
8 boris 33.27 2.22 26.61
9 Sharp 30.73 1.52 26.18
10 cl0wn 30.49 1.54 25.88
11 iblis 28.88 1.58 24.16
12 Milk-Man 27.77 1.50 23.25
13 Snake 28.91 2.00 22.92
14 bizzy 27.33 1.52 22.78
15 positive squad 28.44 2.07 22.21
16 lukie 26.81 1.55 22.17
17 MaLicE 27.33 1.87 21.71
18 xeri 25.45 1.52 20.90
19 LordKermit 24.93 1.50 20.44
20 jag420 24.89 1.52 20.34
21 izzasmurf 24.91 1.53 20.32
22 lel 24.74 1.50 20.22
23 Lukie 24.41 1.56 19.74
24 King Lyon 24.29 1.54 19.68
25 NaP! 24.09 1.53 19.50
26 silverstone 28.88 3.18 19.34
27 risk 33.89 5.07 18.67
28 Shmupsii 23.08 1.50 18.57
29 lotus 22.59 1.52 18.01
30 Jamm 38.91 7.05 17.76
31 eligh_ 22.22 1.50 17.71
32 Pika-boo 22.18 1.51 17.65
33 superhudbot 24.46 2.29 17.59
34 LordKermit 22.89 1.82 17.43
35 SilverEagle 21.58 1.50 17.08
36 _Moose 22.50 1.89 16.82
37 vertig0 21.39 1.54 16.78
38 Navox 21.24 1.51 16.72
39 raven 20.74 1.51 16.22
40 crohma_kea 32.87 5.75 15.60
41 hyperlite 20.05 1.52 15.50
42 EvilTree{OZ} 28.30 4.30 15.41
43 A Blind Parakeet 19.54 1.53 14.95
44 237 21.52 2.25 14.78
45 Kelph 19.33 1.59 14.57
46 -fr3nzy* 22.74 2.95 13.90
47 Eugoogoly 20.53 2.22 13.86
48 Rosco 19.91 2.02 13.85
49 Yoshi 18.53 1.57 13.83
50 pyr0.dx 17.89 1.50 13.37
51 -W- sKILLz 17.95 1.53 13.36
52 Anonymity 18.79 1.81 13.35
53 Krayvok® 17.52 1.52 12.94
54 Noosh 24.19 3.77 12.88
55 psycho 21.37 2.89 12.70
56 MissBitch69 22.39 3.24 12.66
57 TaTeR 17.06 1.49 12.60
58 spork 21.37 3.03 12.29
59 disk 16.55 1.51 12.03
60 darkforce 21.41 3.15 11.97
61 blue 16.45 1.50 11.96
62 Texas 16.41 1.54 11.80
63 [PEN]Terminator 22.95 3.80 11.53
64 carn0va 30.47 6.52 10.92
65 eggplant-destroyer 17.42 2.18 10.89
66 hellraisr 17.47 2.28 10.62
67 Alarik 22.50 4.13 10.11
68 T1Kevin 20.67 3.68 9.62
69 jjwtay 22.73 4.43 9.44
70 darkforce 28.01 6.21 9.39
71 Thorin 31.81 7.48 9.38
72 leade 21.45 4.09 9.19
73 lVlector07 30.17 7.08 8.93
74 azrael 13.88 1.65 8.92
75 emo kid 27.01 6.09 8.74
76 Fixious 21.17 4.18 8.62
77 TylerMarket 19.91 3.87 8.31
78 TechnoDonut 15.58 2.53 8.01
79 Swordyfishy 16.51 2.97 7.60
80 ryez0r 22.13 4.93 7.34
81 Lost 25.63 6.16 7.16
82 hraerherhe 20.31 4.59 6.54
83 elixir 27.09 6.88 6.46
84 Rudy 16.93 3.70 5.82
85 Yami 14.99 3.21 5.36
86 Optical 12.97 2.58 5.23
87 illman 12.86 2.58 5.12
88 a blind parakeet 22.69 6.08 4.45
89 237onthephone 15.54 3.75 4.28
90 Exodus 25.07 7.10 3.77
91 Style 22.91 6.44 3.61
92 fyr 26.98 7.82 3.51
93 MountainTopAl 27.16 8.09 2.89
94 rhuwan 23.11 6.75 2.86
95 Sorry I Don't PU 24.83 7.35 2.78
96 kust0m 23.98 7.19 2.42
97 discord 24.42 7.45 2.06
98 FishStix 23.40 7.20 1.81
99 agroforest economy 17.73 5.52 1.16
100 v0id 19.97 6.34 0.94
101 23788 18.63 5.92 0.88
102 Fray 11.26 3.52 0.70
103 The_Stuff 14.72 4.80 0.32
104 p1p3r 24.35 8.10 0.04
105 Liteflower 18.29 6.15 -0.17
106 DL 13.72 4.70 -0.40
107 DaRk 17.99 6.16 -0.49
108 R$E 23.06 7.87 -0.55
109 Aldinach 23.45 8.02 -0.61
110 sig 18.90 6.58 -0.86
111 spanks 18.82 6.63 -1.07
112 Implosions 18.25 6.47 -1.17
113 triggerpointless 19.00 6.74 -1.23
114 Rocky/Drool King 21.70 7.70 -1.39
115 [xKx]mrpop 21.01 7.56 -1.66
116 false.jesii 20.99 7.56 -1.70
117 Scaps 12.00 4.74 -2.23
118 random 20.45 7.58 -2.30
119 minidisc 17.27 6.55 -2.38
120 cd-rom 21.19 7.86 -2.39
121 Fear[LSS] 14.50 5.84 -3.01
122 Avi8 12.69 5.31 -3.24
123 joey 16.53 6.61 -3.30
124 eXTCy 18.83 7.43 -3.45
125 Nuke 17.94 7.24 -3.78
126 SegaRob 16.42 7.20 -5.19
127 >S<-c0d3 14.48 6.58 -5.26
128 XTasy ???? 14.10 6.45 -5.26
129 glitch 16.69 7.38 -5.44
130 S_hift 11.18 5.68 -5.85
131 R$E 12.89 6.37 -6.22
132 ghjk 10.41 5.77 -6.90
133 BBQuake 14.85 7.34 -7.16
134 XU2 13.92 7.21 -7.72

The players TrueSkill ratings has been calculated from a total of 2036 games. These rated games are a result of games that have resulted in a Win/Loss and was not a Tied match.

So, what is so special about the TrueSkill ranking system? TrueSkill ranking system skill is characterized by two numbers.

mu (µ)

The average skill of the gamer.

σ

The degree of uncertainty in the gamer’s skill.

As games occur the players mu will change (up or down) and their uncertainty will lower in value giving a stronger consistency for said player.



On the right hand side, a belief curve of the TrueSkill ranking system is drawn. For example, the green area is the belief of the TrueSkill ranking system that the gamer has a skill between level 10 and 20.

Maintaining an uncertainty allows the system to make big changes to the skill estimates early on but small changes after a series of consistent games has been played. As a result, the TrueSkill ranking system can identify the skills of individual gamers from a very small number of games. The following table gives an idea of the average number of games per gamer that the system ideally needs to identify the skill level:

The ranking system maintains a belief in every gamer’s skill using these two numbers. If the uncertainty is still high, the ranking system does not yet know exactly the skill of the gamer. In contrast, if the uncertainty is small, the ranking system has a strong belief that the skill of the gamer is close to the average skill.

This was calculated using Moserware's TrueSkill PHP Implementation.

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