Ratings

Forum Archive : Ratings

 
FIBS rating distribution

From:   Gary Wong
Address:   gtw@research.att.com
Date:   2 November 2000
Subject:   Re: FIBS Ratings Report From 10/02/2000 To 11/01/2000
Forum:   rec.games.backgammon
Google:   dh6y9z25ntx.fsf@pc-gtw.research.att.com

> Does anyone know the FIBS player rating distribution?
> It would be interesting to know how many players are in each 50 ELO
> bracket.

You can figure it out with the "ratings" command and a little bit of work:

players rated >2000: 8
          1950-2000: 27
          1900-1950: 56
          1850-1900: 125
          1800-1850: 204
          1750-1800: 267
          1700-1750: 377
          1650-1700: 485
          1600-1650: 642
          1550-1600: 812
          1500-1550: 858
          1450-1500: 883
          1400-1450: 714
          1350-1400: 471
          1300-1350: 317
          1250-1300: 212
          1200-1250: 106
          1150-1200: 79
          1100-1150: 28
          1050-1100: 28
          1000-1050: 10
         <1000     : 14

Here is a histogram of those figures:

        ^
 players|
     900+                              ++
        |                              ## ##
     800+                              ## ## ##
        |                           __ ## ## ##
     700+                           ## ## ## ##
        |                           ## ## ## ## ##
     600+                           ## ## ## ## ##
        |                           ## ## ## ## ##
     500+                        __ ## ## ## ## ## ++
        |                        ## ## ## ## ## ## ##
     400+                        ## ## ## ## ## ## ## ++
        |                     __ ## ## ## ## ## ## ## ##
     300+                     ## ## ## ## ## ## ## ## ## __
        |                     ## ## ## ## ## ## ## ## ## ##
     200+                  ## ## ## ## ## ## ## ## ## ## ## ##
        |                  ## ## ## ## ## ## ## ## ## ## ## ## ++
     100+            ++ ## ## ## ## ## ## ## ## ## ## ## ## ## ##
        |      ++ ++ ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ## ++
       0+//|--+--|--+--|--+--|--+--|--+--|--+--|--+--|--+--|--+--|--+--|-->
          1000  1100  1200  1300  1400  1500  1600  1700  1800  1900  2000
                                                                  rating

Daniel Murphy posted some related information in an article archived at:

  http://www.deja.com/=dnc/getdoc.xp?AN=645257677

Jim Wallace shows a couple of results from 1995 and 1997 which seems to
indicate that the distribution has been relatively consistent (i.e. the
histogram above has been stretching vertically over the years, as players
join FIBS, but we have no evidence that there has been significant change
in the _proportion_ of players in each bracket):

  http://www.bkgm.com/rgb/rgb.cgi?view+416

Cheers,
Gary.
--
Gary Wong    Consultant, Dependable Distributed Computing, AT&T Shannon Labs
gtw@research.att.com            http://www.cs.arizona.edu/~gary/
 
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Ratings

Constructing a ratings system  (Matti Rinta-Nikkola, Dec 1998) 
Converting to points-per-game  (David Montgomery, Aug 1998)  [Recommended reading]
Cube error rates  (Joe Russell+, July 2009)  [Long message]
Different length matches  (Jim Williams+, Oct 1998) 
Different length matches  (Tom Keith, May 1998)  [Recommended reading]
ELO system  (seeker, Nov 1995) 
Effect of droppers on ratings  (Gary Wong+, Feb 1998) 
Emperical analysis  (Gary Wong, Oct 1998) 
Error rates  (David Levy, July 2009) 
Experience required for accurate rating  (Jon Brown+, Nov 2002) 
FIBS rating distribution  (Gary Wong, Nov 2000) 
FIBS rating formula  (Patti Beadles, Dec 2003) 
FIBS vs. GamesGrid ratings  (Raccoon+, Mar 2006)  [GammOnLine forum]
Fastest way to improve your rating  (Backgammon Man+, May 2004) 
Field size and ratings spread  (Daniel Murphy+, June 2000)  [Long message]
Improving the rating system  (Matti Rinta-Nikkola, Nov 2000)  [Long message]
KG rating list  (Daniel Murphy, Feb 2006)  [GammOnLine forum]
KG rating list  (Tapio Palmroth, Oct 2002) 
MSN Zone ratings flaw  (Hank Youngerman, May 2004) 
No limit to ratings  (David desJardins+, Dec 1998) 
On different sites  (Bob Newell+, Apr 2004) 
Opponent's strength  (William Hill+, Apr 1998) 
Possible adjustments  (Christopher Yep+, Oct 1998) 
Rating versus error rate  (Douglas Zare, July 2006)  [GammOnLine forum]
Ratings and rankings  (Chuck Bower, Dec 1997)  [Long message]
Ratings and rankings  (Jim Wallace, Nov 1997) 
Ratings on Gamesgrid  (Gregg Cattanach, Dec 2001) 
Ratings variation  (Kevin Bastian+, Feb 1999) 
Ratings variation  (FLMaster39+, Aug 1997) 
Ratings variation  (Ed Rybak+, Sept 1994) 
Strange behavior with large rating difference  (Ron Karr, May 1996) 
Table of ratings changes  (Patti Beadles, Aug 1994) 
Table of win rates  (William C. Bitting, Aug 1995) 
Unbounded rating theorem  (David desJardins+, Dec 1998) 
What are rating points?  (Lou Poppler, Apr 1995) 
Why high ratings for one-point matches?  (David Montgomery, Sept 1995) 

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