Rating Histogram Comparisons

   

This article provides a table and two graphs comparing three Go rating systems (AGA, EGD and KGS). A chess rating system (USCF) is included for those interested in comparisons, or more familiar with it.

Table of contents

Table Comparing the Cumulative Histograms of Several Rating Systems

This table shows the rating you need to be at a given percentile of the players in each rating system.

Cumulative histogram comparison table
Percentile
 
AGA[1]
 
EGD[2]
 
EGD rank
 
KGS[1][3]
 
USCF[4]
(chess)
1% -34.61 100 > 20k -24.26 444
2% -32.58 100 > 20k -22.30 531
5% -27.69 153 2019k -19.20 663
10% -23.47 456 1716k -15.36 793
20% -18.54 953 1211k -11.26 964
30% -13.91 1200 9k -8.94 1122
40% -9.90 1387 87k -7.18 1269
50% -7.10 1557 65k -5.65 1411
60% -4.59 1709 ~4k -4.19 1538
70% -1.85 1884 32k -2.73 1667
80% 2.10 2039 1k1d -1.28 1807
90% 4.71 2217 23d 2.52 1990
95% 6.12 2339 34d 3.88 2124
98% 7.41 2460 45d 5.29 2265
99% 8.15 2536 56d 6.09 2357
99.5% 8.70 2604 ~6d 7.20 2470
99.9% 9.64 2747 78d / 23p pro 2643
top 10.12 2809 8d / 45p 9p 2789

Notes

[1] KGS and AGA ratings are in AGA form: ``n`` kyu ≈ ``-n``, ``n`` dan ≈ ``+n``, with a jump from - to +.
[2] The EGD cuts off at rating 100 = 20 kyu. This distorts the EGF graphs for the 1% and 2% percentiles.
[3] The 99.9% and top rating for KGS have been estimated as 2850 (8.5 dan amateur) and 3000 (10 dan amateur).
[4] USCF (United States Chess Federation) ratings, e.g. a master has a 2200 rating.


Cumulative distribution function

The following diagram plots the four rating systems as a [ext] cumulative distribution function: the vertical axis shows the percentage of players up to the level indicated along the horizontal axis. The top scale shows USCF ratings, while the bottom scale shows AGA ratings[1].

Rating histogram


Usage Example: You have rating 2000 USCF, and are curious what that is equivalent to in go. Find the point where the USCF graph crosses 2000, which is at about 90%. Then move straight up to see where the other graphs cross that percentile, which is (roughly) 2200 EGF (2 dan), 3 dan KGS and 5 dan AGA.


Cumulative histogram

The following diagram plots the same data as a [ext] cumulative histogram.

The correspondence of the Elo (left) and Dan/Kyu (right) scales is based on EGF assignments.

Rating histogram


Data sources

The raw data for KGS and USCF ratings are in the form of histogram buckets. I used linear interpolation to estimate more accurate numbers. The raw data for the AGA and EGF was the entire list, so I simply used the rating of the players at the appropriate percentiles.

Related links


Rating Histogram Comparisons last edited by PJTraill on June 25, 2020 - 01:34
RecentChanges · StartingPoints · About
Edit page ·Search · Related · Page info · Latest diff
[Welcome to Sensei's Library!]
RecentChanges
StartingPoints
About
RandomPage
Search position
Page history
Latest page diff
Partner sites:
Go Teaching Ladder
Goproblems.com
Login / Prefs
Tools
Sensei's Library