Discord Bot Pickup TrueSkill Stats!

Rank Player Rating

mu (µ)

Uncertainty

σ

TrueSkill Rating

γ

1 iblis 37.76 4.66 23.77
2 sleep 31.87 2.81 23.45
3 n0va 30.53 2.46 23.15
4 bizzy 30.40 2.45 23.04
5 LordKermit 27.34 1.82 21.87
6 raven 28.57 2.44 21.26
7 jag420 31.04 3.43 20.76
8 brickhead 31.01 3.43 20.73
9 RaNus 29.38 3.19 19.80
10 azrael 26.30 2.73 18.11
11 Shmupsii 23.32 1.74 18.09
12 eggplant-destroyer 24.44 2.33 17.44
13 disk 28.87 3.85 17.33
14 Pika-boo 24.18 2.40 16.97
15 pyr0.dx 23.49 2.20 16.88
16 Eugoogoly 30.13 4.44 16.79
17 -fr3nzy* 32.25 5.25 16.50
18 izzasmurf 27.02 3.52 16.45
19 Milk-Man 22.88 2.14 16.44
20 eligh_ 23.07 2.25 16.31
21 lel 23.78 2.54 16.16
22 cl0wn 24.24 2.82 15.77
23 Krayvok® 21.86 2.22 15.19
24 Sin 25.69 3.64 14.78
25 King Lyon 24.21 3.19 14.63
26 TaTeR 19.68 2.05 13.52
27 Sharp 26.83 4.62 12.95
28 NaP! 21.30 2.87 12.68
29 Yoshi 21.97 3.14 12.54
30 Stimula 20.59 2.77 12.27
31 xeri 21.58 3.19 12.01
32 lotus 20.02 2.79 11.64
33 hyperlite 21.76 3.40 11.56
34 Adroit 22.46 3.77 11.15
35 Lukie 19.65 3.14 10.23
36 blue 17.50 2.55 9.85
37 Stork 27.52 6.03 9.42
38 Texas 17.81 3.20 8.20
39 -W- sKILLz 15.73 2.93 6.95
40 Rosco 24.58 6.07 6.38
41 vertig0 18.14 4.04 6.01
42 murphy 26.28 7.00 5.27
43 v0id 28.36 7.70 5.25
44 TylerMarket 22.37 5.97 4.45
45 XU2 26.62 7.58 3.88
46 Lord Hawke 27.16 7.89 3.49
47 Swordyfishy 26.93 7.91 3.20
48 T1Kevin 26.70 8.06 2.53
49 _Moose 19.87 6.10 1.58
50 Navox 12.97 4.33 -0.02
51 damo 21.76 7.77 -1.56
52 MaLicE 18.24 6.62 -1.62
53 darkforce 19.76 7.85 -3.77

The players TrueSkill ratings has been calculated from a total of 279 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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