Forum Archive : Ratings

Ratings and rankings

From:   Jim Wallace
Address:   wallacej@cadvision.com
Date:   25 November 97
Subject:   Ratings and Rankings- 1800 gets you in the top 250
Forum:   rec.games.backgammon
Google:   01bcf9f3$9c88a020$f945e4cf@wallacej.cadvision.com

The number of ranked BG players on FIBS has finally hit 5000. As the pool
of ranked players grows, (like a growing pile of sand) the ratings at the
extremes extend outwards. The height of the pile, which measures the number
of average players in the distribution, grows.

This has been enlarging the ratings bell curve in the last two years.

In early 1995, a rating of 1900 ranked you as number 7; (just reaching 1900
was a milestone for experts) 1800 put you in the top 80 which would have
been in the top 5% of players.

Today 1900 doesn't even get you in the top 40 and 1800 leaves you ranked

Seems to me the better way to measure your skills and progress learning the
game is not by way of your actual numerical rating but rather your relative
level in the overall pool of players. Do you fit in the top 1%, 3% or 10%
or wherever. If your rating climbs and you fall into a lower percentile
category, I'd say your skills are not keeping pace. A rising rating may not
mean you are improving if you don't move into a higher percentile.

For the statistically inclined....
If the FIBS ranked player pool doubled to 10,000, what would be the likely
rating range of the top 1% of players ?
What would be your rank if you hit 1800 and 1900?

Jim Wallace
Calgary, Alberta Canada
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Ratings and rankings  (Jim Wallace, Nov 1997) 
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Ratings variation  (Kevin Bastian+, Feb 1999) 
Ratings variation  (FLMaster39+, Aug 1997) 
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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) 
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