Discord Bot Pickup TrueSkill Stats!

Rank Player Rating

mu (µ)

Uncertainty

σ

TrueSkill Rating

γ

1 cl0wn 34.10 1.96 28.22
2 sleep 30.78 1.60 25.99
3 n0va 29.98 1.75 24.71
4 bizzy 30.86 2.08 24.62
5 LordKermit 28.40 1.63 23.52
6 Shmupsii 27.70 1.59 22.95
7 Lukie 27.92 1.84 22.40
8 Stork 33.17 3.76 21.90
9 brickhead 31.58 3.28 21.73
10 Sharp 30.12 2.86 21.53
11 Milk-Man 26.22 1.76 20.93
12 eligh_ 26.19 1.79 20.82
13 King Lyon 27.65 2.48 20.22
14 hyperlite 25.98 2.10 19.69
15 lel 25.03 1.85 19.49
16 RaNus 25.66 2.08 19.41
17 SilverEagle 25.91 2.18 19.36
18 jag420 27.76 2.84 19.25
19 _Moose 25.99 2.30 19.09
20 izzasmurf 26.14 2.53 18.56
21 Eugoogoly 25.57 2.39 18.41
22 pyr0.dx 23.25 1.68 18.20
23 Navox 23.97 1.96 18.10
24 lotus 24.04 2.17 17.54
25 vertig0 31.83 4.81 17.39
26 Pika-boo 22.19 1.67 17.19
27 xeri 26.65 3.28 16.79
28 TaTeR 21.44 1.59 16.69
29 raven 22.39 1.99 16.44
30 azrael 22.23 1.94 16.41
31 Yoshi 21.61 2.04 15.50
32 -W- sKILLz 21.56 2.25 14.82
33 Krayvok® 20.09 1.88 14.45
34 eggplant-destroyer 20.07 1.91 14.34
35 disk 20.29 2.11 13.97
36 -fr3nzy* 23.07 3.04 13.94
37 NaP! 20.50 2.32 13.53
38 darkforce 34.02 6.90 13.33
39 blue 19.27 2.09 13.02
40 Texas 19.44 2.18 12.89
41 Rocky/Drool King 29.74 6.29 10.87
42 A Blind Parakeet 18.57 2.76 10.30
43 Rosco 22.29 4.01 10.27
44 MaLicE 25.42 5.18 9.89
45 TylerMarket 18.56 2.92 9.80
46 hellraisr 19.05 3.11 9.73
47 joey 23.11 4.51 9.59
48 Swordyfishy 17.84 3.19 8.27
49 iblis 20.60 4.40 7.40
50 hraerherhe 23.53 5.57 6.82
51 Stimula 25.02 6.13 6.63
52 Alarik 29.10 7.52 6.55
53 FSB-HMR 22.74 5.48 6.30
54 Adroit 25.93 7.08 4.70
55 kust0m 23.66 6.36 4.58
56 opsayo 24.80 6.85 4.24
57 stumps 27.63 7.81 4.19
58 T1Kevin 18.58 4.83 4.10
59 WaterBoy 24.86 6.95 4.01
60 psycho 25.22 7.13 3.84
61 illman 24.85 7.27 3.05
62 L0c0m0tive 21.17 6.06 3.00
63 Sin 24.07 7.08 2.85
64 [PEN]Terminator 16.02 4.48 2.58
65 Fixious 25.04 7.60 2.25
66 26.21 8.00 2.20
67 NoobedRolo 16.22 4.68 2.18
68 elixir 24.13 7.38 1.99
69 reallyslick 24.13 7.43 1.85
70 FishStix 25.84 8.02 1.77
71 Lord Hawke 22.52 7.15 1.07
72 s0ap 23.53 8.01 -0.51
73 Fray 22.90 7.86 -0.66
74 Ringo 19.68 6.96 -1.19
75 |interface| 21.44 7.71 -1.69
76 teribadactyl 16.24 6.09 -2.03
77 Scaps 20.66 7.57 -2.05
78 Yami 20.35 7.60 -2.47
79 JellySause 19.80 7.67 -3.22
80 sig 11.33 4.89 -3.33
81 Quames 19.10 7.63 -3.79
82 DL 16.77 6.87 -3.85
83 Nuke 17.90 7.52 -4.67
84 diskmagnet 15.17 7.19 -6.40
85 The_Stuff 10.35 5.86 -7.24
86 XU2 10.51 6.04 -7.61
87 Gotchyacoffee 12.44 6.90 -8.26
88 discs 9.00 6.01 -9.03

The players TrueSkill ratings has been calculated from a total of 560 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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