Understanding the Glicko rating system

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albietrevisan

Hello everyone! I opened my account on Oct. 20, 2023, as beginner and I would like to ask for help from math experts: it's about the rating system. Please let me introduce my problem.

I played four rapid games starting from a rating of 800, and now my final rating is 431. Yearning to learn and understand better, I realized that Chess.com uses the Glicko rating system [1]. After studying literature [2] and prof. Glickman's papers [3,4], I tried to reproduce this calculation. For this purpose I used the list of constants and variables provided by erikchesspawn (staff account) on Oct. 15, 2009 (see forum entitled Math People Only!: Changes to how much ratings change...):

Constant/Variable Value
Starting RD (Glicko points) 350
K-value 16
c-value 0.2
p-value 0.000011
q-value 0.0057565
Time increment, or rating period (min) 1

NB: I set my pre-period rating and RD. Specifically, r=800 and RD=350. Also, the rating should be written as a 95% confidence interval (r-1.96RD, r+1.96RD).

Nevertheless, I'm failing the calculation and missing the point. Also, starting from the formula RD = min(√(RDold2+c2 t) , 350), I can't determine how much time (in units of rating periods) would need to pass before a rating for a typical player becomes as uncertain as that of an unrated player (r = 1500; RD = 350). Here are my quesions:

  1. How should I solve the formula RD = min(√(RDold2+c2 t) , 350)?
  2. Where should I use the p-value in my calculations?
  3. Am I using the wrong constants and variables?
  4. Should I use Glicko-2 [5] instead of Glicko?

Thanks in advance! happy.png

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References

[1] How do ratings work on Chess.com? https://support.chess.com/article/210-how-do-ratings-work-on-chess-com#:~:text=Chess.com%20uses%20the%20Glicko,of%20what%20your%20rating%20is.

[2] The Glicko system for beginners https://www.englishchess.org.uk/wp-content/uploads/2012/04/The_Glicko_system_for_beginners1.pdf

[3] A comprehensive guide to chess ratings http://www.glicko.net/research/acjpaper.pdf

[4] The Glicko system http://www.glicko.net/glicko/glicko.pdf

[5] Example of the Glicko-2 system http://www.glicko.net/glicko/glicko2.pdf

darlihysa

Into the illuminati island the first independent world. There is a campus of mind games. They start rating from zero points and a player of 950 elo there is equal of a 2800 player of fide world

tygxc

@1

https://en.wikipedia.org/wiki/Glicko_rating_system

"How should I solve the formula RD = min(√(RDold2+c2 t) , 350)?"
++ So RD = 350 except if sqrt (RDold² + c²*t) is smaller and then it becomes the new RD. Online the rating period is t=1. For a tournament with say 9 rounds, the rating period t=9.

"Should I use Glicko-2 [5] instead of Glicko?" As far as I know chess.com uses Gricko-2 instead of Glicko. http://www.glicko.net/glicko/glicko2.pdf It has examples of how to use it.