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The players True Skill ratings has been calculated from a total of x games.

So, what is so special about the True Skill ranking system? True Skill 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 True Skill ranking system is drawn. For example, the green area is the belief of the True Skill 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 True Skill 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.

Position Player Total Wins Loss Tie Win % Rating

mu (µ)

Uncertainty

σ

True Skill Rating

γ

1 cl0wn 199 75 42 82 37.69 % 33.45 1.51 28.93
2 Rex 31 15 8 8 48.39 % 32.88 1.51 28.37
3 Sharp 🔪 86 35 22 29 40.7 % 32.62 1.55 27.98
4 Mavi 143 64 30 49 44.76 % 32.55 1.54 27.94
5 bizzy 173 76 48 49 43.93 % 32.45 1.52 27.89
6 Matin 89 31 24 34 34.83 % 32.03 1.48 27.59
7 thecaptaintea 144 69 36 39 47.92 % 32.07 1.51 27.55
8 Ringo 109 47 25 37 43.12 % 31.65 1.52 27.10
9 32°ƒ izza 212 83 55 74 39.15 % 31.03 1.48 26.59
10 fr0st 415 112 127 176 26.99 % 31.10 1.51 26.58
11 cg mef 👿 92 43 17 32 46.74 % 31.00 1.52 26.45
12 kustom 65 25 13 27 38.46 % 30.59 1.50 26.10
13 DL - O Please 89 28 19 42 31.46 % 30.63 1.52 26.08
14 fyr 270 107 70 93 39.63 % 30.37 1.46 25.99
15 squid 🦑 60 19 19 22 31.67 % 29.57 1.54 24.97
16 Sin 48 14 11 23 29.17 % 29.45 1.55 24.81
17 t2fewtcher 30 12 4 14 40 % 29.31 1.52 24.75
18 Giohm 296 97 102 97 32.77 % 29.14 1.47 24.74
19 32°ƒ Berserker 112 36 28 48 32.14 % 29.16 1.51 24.64
20 XU1 308 112 80 116 36.36 % 28.69 1.45 24.35
21 LCpl. Stork 7 1 4 2 14.29 % 29.44 1.73 24.24
22 joey 108 39 37 32 36.11 % 28.60 1.52 24.05
23 chairphenom 200 61 52 87 30.5 % 28.46 1.48 24.03
24 murrly 170 59 45 66 34.71 % 28.51 1.51 23.99
25 IceHawk 🐧 43 12 9 22 27.91 % 28.50 1.52 23.95
26 Melur 159 48 54 57 30.19 % 28.39 1.49 23.93
27 norom 180 61 49 70 33.89 % 28.21 1.45 23.87
28 name 204 67 63 74 32.84 % 28.27 1.49 23.82
29 eligh_ 185 75 47 63 40.54 % 28.26 1.51 23.74
30 Ravesty 2 0 1 1 0 % 30.95 2.41 23.73
31 Implosions 💣 153 50 49 54 32.68 % 27.94 1.49 23.48
32 dose 75 29 17 29 38.67 % 27.89 1.48 23.46
33 JimmyJohn's 41 9 8 24 21.95 % 28.46 1.71 23.31
34 Lowend 182 73 40 69 40.11 % 27.66 1.47 23.25
35 Blakk 216 83 58 75 38.43 % 27.64 1.48 23.21
36 Koltek 10 6 1 3 60 % 28.67 1.87 23.05
37 scoot 39 17 12 10 43.59 % 27.76 1.63 22.88
38 Swordfish 98 38 25 35 38.78 % 27.08 1.52 22.53
39 [.dll] lgbt hitscan+ 185 64 48 73 34.59 % 27.01 1.50 22.52
40 jp 302 74 110 118 24.5 % 26.82 1.45 22.48
41 lz 142 48 41 53 33.8 % 26.74 1.50 22.25
42 Fox 129 33 48 48 25.58 % 26.74 1.50 22.24
43 _Moosetafa 43 14 13 16 32.56 % 26.88 1.59 22.13
44 Marv 3 0 0 3 0 % 27.07 1.68 22.03
45 Crysta 197 66 66 65 33.5 % 26.41 1.51 21.89
46 xeri 🍆 105 45 30 30 42.86 % 26.49 1.55 21.85
47 sh4z 413 108 154 151 26.15 % 26.26 1.48 21.82
48 Devil 68 23 23 22 33.82 % 26.34 1.52 21.77
49 yung yams🔒 161 47 49 65 29.19 % 26.00 1.52 21.45
50 lel {{BRING BACK MURRLY}} 229 79 64 86 34.5 % 25.90 1.51 21.38
51 Frostbite 5 1 1 3 20 % 25.87 1.51 21.35
52 s l u s h 🎅🏾❄ 171 47 57 67 27.49 % 25.59 1.45 21.24
53 devik 38 7 15 16 18.42 % 25.66 1.49 21.19
54 Lord1keye 304 110 73 121 36.18 % 25.68 1.50 21.19
55 SunWind 219 78 67 74 35.62 % 25.71 1.51 21.18
56 oahra 153 64 35 54 41.83 % 25.55 1.50 21.06
57 Yodsanklai 4 0 2 2 0 % 25.51 1.49 21.05
58 [.dll] shit human being 52 16 13 23 30.77 % 25.56 1.51 21.03
59 Bruhlitz 14 3 5 6 21.43 % 25.73 1.57 21.03
60 ryanrhino 180 66 49 65 36.67 % 25.49 1.50 21.01
61 rtcll 27 9 8 10 33.33 % 28.02 2.41 20.80
62 App-1 154 47 52 55 30.52 % 25.21 1.48 20.78
63 DaNky 27 6 7 14 22.22 % 25.37 1.55 20.73
64 yeetler 237 54 73 110 22.78 % 25.15 1.50 20.66
65 FishStix 🎤 166 49 52 65 29.52 % 25.20 1.53 20.62
66 hilikus 19 10 2 7 52.63 % 29.37 2.96 20.51
67 Lögïc 53 15 22 16 28.3 % 25.94 1.85 20.38
68 huubz 74 26 20 28 35.14 % 24.86 1.53 20.27
69 raven 286 85 92 109 29.72 % 24.72 1.50 20.22
70 Tekra 190 54 64 72 28.42 % 24.58 1.48 20.15
71 Eh🍁me 58 21 16 21 36.21 % 24.72 1.55 20.09
72 crea 67 18 26 23 26.87 % 24.53 1.50 20.03
73 Joevid419 262 88 73 101 33.59 % 24.46 1.50 19.97
74 elixir 🍾 17 6 5 6 35.29 % 27.22 2.42 19.94
75 élement 88 25 29 34 28.41 % 24.18 1.50 19.69
76 Krayvok 161 44 54 63 27.33 % 24.13 1.49 19.67
77 Reitok 21 10 4 7 47.62 % 28.09 2.89 19.41
78 GUNDERSTRUTT 61 14 22 25 22.95 % 23.97 1.55 19.33
79 boris 5 2 3 0 40 % 25.40 2.06 19.23
80 modus 292 91 88 113 31.16 % 23.51 1.44 19.19
81 SpydeR 22 8 11 3 36.36 % 23.71 1.53 19.13
82 ripper 15 6 3 6 40 % 23.55 1.56 18.87
83 Tonks 35 8 9 18 22.86 % 23.30 1.52 18.74
84 75 17 27 31 22.67 % 23.31 1.53 18.73
85 bgbggr9 261 93 62 106 35.63 % 23.20 1.50 18.71
86 Simmo 4 0 3 1 0 % 23.31 1.59 18.56
87 angrysmurf 120 41 32 47 34.17 % 23.08 1.52 18.53
88 Colonel Blair 56 17 17 22 30.36 % 22.98 1.52 18.43
89 ondcolisto ✔ 9 3 6 0 33.33 % 22.88 1.52 18.33
90 jahman 232 62 83 87 26.72 % 22.82 1.50 18.33
91 reffe 241 69 84 88 28.63 % 22.58 1.50 18.09
92 eviskz0r 201 67 62 72 33.33 % 22.43 1.49 17.96
93 Evil 29 9 9 11 31.03 % 22.42 1.55 17.78
94 Misa 6 3 2 1 50 % 23.69 2.01 17.65
95 -W- sKILLz 🌿 17 7 4 6 41.18 % 22.14 1.51 17.62
96 Fire 🔥 9 3 2 4 33.33 % 29.50 4.00 17.49
97 Voidspawn 2 0 2 0 0 % 22.43 1.66 17.47
98 mega 55 21 17 17 38.18 % 22.18 1.59 17.42
99 hobb 15 3 7 5 20 % 21.91 1.51 17.38
100 quip 272 81 90 101 29.78 % 21.81 1.53 17.24
101 sajent 111 28 49 34 25.23 % 21.78 1.52 17.22
102 b3d 1 0 1 0 0 % 29.28 4.05 17.13
103 jEstEr 143 35 53 55 24.48 % 21.18 1.47 16.77
104 tamtim 4 2 1 1 50 % 21.29 1.57 16.59
105 BOSSDOGGxXx 21 5 7 9 23.81 % 23.26 2.25 16.51
106 Lyon 🦁 66 18 24 24 27.27 % 21.43 1.68 16.41
107 =PT=SilverEagle 30 8 12 10 26.67 % 21.29 1.66 16.30
108 lastofspades 30 9 11 10 30 % 20.88 1.57 16.17
109 IcedWinds 24 4 9 11 16.67 % 24.03 2.64 16.12
110 Comet 56 16 21 19 28.57 % 20.69 1.54 16.08
111 izod 50 16 13 21 32 % 20.52 1.50 16.03
112 Mista B 31 7 14 10 22.58 % 20.30 1.53 15.72
113 BOSSDADDxXx 46 10 16 20 21.74 % 20.14 1.51 15.62
114 Achus 3 1 1 1 33.33 % 27.54 3.99 15.56
115 slighty less big hoss 94 24 34 36 25.53 % 20.25 1.59 15.49
116 elcd07 45 16 14 15 35.56 % 20.08 1.56 15.41
117 -apo 3 0 2 1 0 % 20.19 1.61 15.37
118 Kat999 75 13 28 34 17.33 % 19.85 1.52 15.30
119 Nevares 8 3 3 2 37.5 % 28.21 4.33 15.23
120 chem 1 0 1 0 0 % 19.81 1.53 15.23
121 blue 140 43 45 52 30.71 % 19.72 1.54 15.11
122 Zwidow 1 0 1 0 0 % 19.79 1.56 15.11
123 Pixel 284 62 108 114 21.83 % 19.54 1.50 15.05
124 eZ does It 112 37 45 30 33.04 % 19.54 1.55 14.90
125 Varrus 20 7 7 6 35 % 19.51 1.55 14.87
126 Scarface 9 1 4 4 11.11 % 19.80 1.69 14.74
127 watery 33 11 10 12 33.33 % 19.95 1.75 14.69
128 Genex 15 3 6 6 20 % 21.23 2.22 14.57
129 WaterBoy 23 3 10 10 13.04 % 21.15 2.28 14.31
130 a z r a e l🐢 24 7 10 7 29.17 % 22.00 2.58 14.26
131 disaccurate 2 2 0 0 0 % 33.27 6.34 14.26
132 Brooky 179 36 78 65 20.11 % 18.71 1.49 14.25
133 1UP 99 26 44 29 26.26 % 18.77 1.52 14.21
134 TooTz 128 32 48 48 25 % 18.60 1.50 14.11
135 Aaeriele 34 6 15 13 17.65 % 18.72 1.56 14.05
136 fluxx 1 0 1 0 0 % 21.52 2.52 13.97
137 Fray 🌝 29 3 13 13 10.34 % 18.73 1.60 13.94
138 Egg 1 1 0 0 0 % 18.94 1.71 13.80
139 Auzilla 5 2 1 2 40 % 20.75 2.32 13.79
140 tyco 40 14 16 10 35 % 19.88 2.04 13.75
141 Lock Jaw- 4 1 2 1 25 % 27.16 4.49 13.69
142 sig 209 57 58 94 27.27 % 18.16 1.50 13.67
143 hyperlite 1 0 1 0 0 % 21.64 2.76 13.37
144 [kB] jester 17 6 6 5 35.29 % 22.34 3.17 12.85
145 seldom 92 21 38 33 22.83 % 17.34 1.50 12.85
146 RedFox 47 7 17 23 14.89 % 17.31 1.52 12.75
147 PeTtY 2 0 2 0 0 % 20.95 2.97 12.03
148 mwaxy 151 35 52 64 23.18 % 16.37 1.51 11.84
149 KermitsPermit 8 3 2 3 37.5 % 18.11 2.09 11.83
150 HeXy 1 1 0 0 0 % 32.68 6.95 11.83
151 smokin 110 20 41 49 18.18 % 16.23 1.50 11.73
152 Sauon 158 35 61 62 22.15 % 16.24 1.52 11.69
153 LiquidSwordz 24 4 6 14 16.67 % 18.99 2.57 11.28
154 RaNus 🍇 5 3 1 1 60 % 25.98 4.90 11.27
155 DJ Zog 1 0 0 1 0 % 17.83 2.20 11.23
156 shady! 65 10 25 30 15.38 % 15.81 1.53 11.22
157 spacecakes 17 7 6 4 41.18 % 15.73 1.65 10.79
158 Ron 112 27 47 38 24.11 % 15.29 1.52 10.74
159 nav0x 13 2 4 7 15.38 % 19.24 2.87 10.64
160 MaLicE 👺 4 2 1 1 50 % 26.60 5.34 10.57
161 Figit 2 1 0 1 0 % 29.18 6.22 10.52
162 Gambit 7 2 2 3 28.57 % 23.21 4.44 9.88
163 JadenThePropPusher 11 4 1 6 36.36 % 20.60 3.77 9.29
164 danger 4 3 1 0 75 % 16.60 2.44 9.27
165 MayorOfChicago 5 0 4 1 0 % 14.73 1.82 9.26
166 J-Dope 9 1 4 4 11.11 % 16.45 2.55 8.81
167 Zakaro 1 0 1 0 0 % 16.43 2.55 8.77
168 Imply [@Fr0st best] [.dll] 2 0 1 1 0 % 15.22 2.20 8.62
169 s0ap 3 2 0 1 0 % 24.67 5.36 8.58
170 Bleron13 1 0 0 1 0 % 29.21 6.94 8.38
171 FireVisor 13 3 8 2 23.08 % 13.53 1.72 8.38
172 TXRednecK 8 0 4 4 0 % 13.04 1.57 8.33
173 LordKermit 10 4 2 4 40 % 17.42 3.04 8.31
174 Cynical 3 1 2 0 33.33 % 17.23 3.05 8.07
175 Rusty 19 1 10 8 5.26 % 16.52 2.89 7.85
176 nonreg 1 1 0 0 0 % 29.42 7.25 7.68
177 VeryScary 3 1 0 2 0 % 24.43 5.70 7.33
178 |458| Mano^WuUuMmM 5 2 1 2 40 % 22.29 5.06 7.12
179 TheDeadGuy 9 3 3 3 33.33 % 18.79 4.04 6.68
180 Snooks 4 1 1 2 25 % 21.90 5.13 6.50
181 EFX 1 0 0 1 0 % 16.29 3.33 6.29
182 Inze 28 6 15 7 21.43 % 13.59 2.44 6.26
183 Shoot 12 3 5 4 25 % 16.86 3.55 6.20
184 The G Mann 4 0 0 4 0 % 21.72 5.23 6.02
185 sp|tey 2 1 0 1 0 % 24.74 6.38 5.58
186 vernonryoung 1 0 0 1 0 % 22.84 5.75 5.57
187 sled 4 1 1 2 25 % 22.44 5.67 5.44
188 aRomaTomato 1 0 1 0 0 % 14.16 2.91 5.44
189 Spectracus 2 1 0 1 0 % 25.18 6.61 5.35
190 lexagon171 2 0 0 2 0 % 23.32 6.10 5.02
191 cat 3 0 0 3 0 % 21.37 5.49 4.90
192 Rabbit 6 3 2 1 50 % 18.90 4.77 4.61
193 HassleHOF 3 0 2 1 0 % 18.10 4.52 4.55
194 T1Kevin 🍀 5 0 3 2 0 % 19.37 4.96 4.48
195 saftslurper 41 6 20 15 14.63 % 10.39 2.03 4.29
196 Boot 1 0 0 1 0 % 25.06 6.95 4.21
197 Prodoo 2 0 0 2 0 % 12.42 3.04 3.29
198 Apc 3 0 1 2 0 % 20.16 5.67 3.15
199 Ragingmoose 3 1 2 0 33.33 % 14.99 3.96 3.12
200 discobiz 6 1 3 2 16.67 % 16.69 4.69 2.62
201 AcrophobiaK 6 1 2 3 16.67 % 17.08 4.87 2.47
202 Rincewind1 2 0 1 1 0 % 20.98 6.22 2.32
203 Xan 7 1 4 2 14.29 % 15.65 4.50 2.15
204 cabana 6 0 4 2 0 % 15.51 4.75 1.27
205 rain 1 0 0 1 0 % 22.21 7.00 1.20
206 aristo- 3 1 2 0 33.33 % 18.91 5.97 1.00
207 docmatrix 4 1 0 3 0 % 17.21 5.42 0.96
208 Morning Light Mtn. 3 0 1 2 0 % 16.20 5.45 -0.14
209 Eur0ed 1 0 1 0 0 % 21.75 7.67 -1.26
210 calidex 1 0 1 0 0 % 19.35 7.10 -1.94
211 erdgeist 1 0 1 0 0 % 19.13 7.08 -2.12
212 Ufinii 1 0 1 0 0 % 19.79 7.32 -2.16
213 skrz 3 0 3 0 0 % 14.58 6.04 -3.53
214 Alterr 1 0 1 0 0 % 17.07 6.92 -3.69
215 Karuciel 2 0 1 1 0 % 14.85 6.37 -4.25