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Rank Player Rating

mu (µ)

Uncertainty

σ

TrueSkill Rating

γ

1 n0va 31.96 1.96 26.08
2 cl0wn 32.79 2.57 25.07
3 Sharp 29.81 1.8 24.4
4 jag420 32.19 2.77 23.88
5 sleep 30.87 2.36 23.78
6 Milk-Man 29.44 2.03 23.34
7 brickhead 28.8 1.83 23.32
8 bizzy 28.75 2.04 22.64
9 LordKermit 26.58 1.79 21.21
10 eligh_ 27.1 1.99 21.13
11 RaNus 27.82 2.25 21.08
12 Lukie 28.49 2.62 20.62
13 Stork 27.57 2.97 18.66
14 rtcll 33.17 5.36 17.08
15 NaP! 26.02 3.05 16.88
16 Navox 22.69 2.02 16.63
17 izzasmurf 24.09 2.64 16.17
18 Pika-boo 21.79 1.92 16.03
19 lotus 23.58 2.53 15.98
20 _Moose 26.35 3.48 15.93
21 xeri 23.02 2.52 15.47
22 lel 20.54 2.25 13.78
23 King Lyon 22.2 2.96 13.32
24 Rosco 26.56 4.49 13.09
25 SilverEagle 21.49 2.84 12.96
26 raven 19.94 2.55 12.3
27 disk 25.16 4.93 10.39
28 lukie 22.61 4.14 10.2
29 vertig0 23.9 4.74 9.67
30 blue 16.51 2.39 9.34
31 -fr3nzy* 21.81 4.35 8.77
32 Kelph 29.96 7.37 7.85
33 MaLicE 25.94 6.07 7.73
34 hyperlite 24.11 5.75 6.86
35 Noosh 28.54 7.54 5.91
36 TaTeR 29.11 7.77 5.79
37 Shmupsii 23.19 6.54 3.58
38 iblis 16.6 4.45 3.24
39 Yoshi 27.03 7.96 3.14
40 superhudbot 26.93 8.1 2.62
41 The Red Hood 25.13 7.53 2.54
42 Texas 26.76 8.11 2.41
43 darkforce 23.11 7.33 1.12
44 positive squad 24.66 7.87 1.05
45 hraerherhe 21.1 6.87 0.47
46 -W- sKILLz 18.21 6.11 -0.13
47 Alarik 22.88 7.86 -0.7
48 pyr0.dx 22.46 7.83 -1.01
49 Fixious 23.15 8.11 -1.18
50 DaRk 23.08 8.11 -1.26
51 Smurf01 22.92 8.1 -1.36
52 Krayvok® 21.11 7.74 -2.11
53 azrael 20.46 7.61 -2.36
54 dare in redux 20.32 7.65 -2.62
55 LordKermit 16.83 6.49 -2.65
56 Snake 18.17 7.55 -4.48
57 jjwtay 17.63 7.4 -4.58

The players TrueSkill ratings has been calculated from a total of 267 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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