Ratings

Forum Archive : Ratings

 
Table of ratings changes

From:   Patti Beadles
Address:   pattib@netcom.com
Date:   22 August 1994
Subject:   Re: FIBS ratings formula
Forum:   rec.games.backgammon
Google:   pattibCuwttn.F8v@netcom.com

Ratings changes are based on several things-- the length of the match,
the experience level of each player, the current rating of both
players, and whether the higher-rated or lower-rated player wins.

Experience figures into this in an interesting way.  For players with
400 or more experience points, there's no influence.  For players with
less than 400, the experience turns into a simple multiplier.  Your
experience affects your rating change only, not that of your opponent.

Here are a couple of tables showing the ratings change for various
match lengths and ratings differences.  Note that you need to use a
different table depending upon whether the higher-rated or lower-rated
player wins.


       Ratings change when higher-rated player wins,
       assuming 400+ experience.*

diff         1         3         5         7         9        11
----     --------  --------  --------  --------  --------  --------
100      1.884998  3.119854  3.899648  4.491772  4.974016  5.381994
200      1.770753  2.782339  3.345620  3.727760  4.006327  4.216725
300      1.658005  2.457773  2.826207  3.029076  3.142692  3.201313
400      1.547453  2.151421  2.353534  2.415209  2.409120  2.366478



       Ratings change when lower-rated player wins,
       assuming 400+ experience.*

diff         1         3         5         7         9        11
----     --------  --------  --------  --------  --------  --------
100      2.115002  3.808349  5.044624  6.091233  7.025984  7.884505
200      2.229247  4.145864  5.598652  6.855246  7.993673  9.049774
300      2.341995  4.470430  6.118065  7.553929  8.857308 10.065186
400      2.452547  4.776783  6.590738  8.167797  9.590880 10.900022

* For a player with lesser experience, multiply the number in the
table by -experience/100+5, e.g. for 200 experience, 3.

So if a 1500 player beats a 1700 player in a 3-point match, I would
look in the table and find that for a 3-point match, lower player
wins, 200 difference, the change is 4.15 (rounded.)  If the 1700
player won, the change for both players is 2.78.


-Patti
 
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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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