[computer-go] Go rating math information

[Andy]

There were some questions about the effective ELO difference of two players
3 ranks apart.  Here are some links to information about go rating formulas,
and some statistics:

http://senseis.xmp.net/?KGSRatingMath
http://gemma.ujf.cas.cz/~cieply/GO/gor.html<http://gemma.ujf.cas.cz/%7Ecieply/GO/gor.html>
http://gemma.ujf.cas.cz/~cieply/GO/statev.html<http://gemma.ujf.cas.cz/%7Ecieply/GO/statev.html>

Both KGS and EGF scale the "k" factor according to the player's strength.
For weaker players the probability of an upset is greater.

According to KGS formula:
8k vs 5k: 7.2% chance of upset (~440 Elo)
2d vs 5d: 2.0% chance of upset (~676 Elo)

According to EGF even game statistics:
Generally for weaker kyu players the chance of upset is around 30-40%
(~80-~150 ELO), for stronger players it goes down:
2d vs 5d: 11.5% chance of upset (~350 Elo)
3d vs 6d:  7.8% chance of upset (~432 Elo)
4d vs 7d:  3.3% chance of upset (~590 Elo)
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