BGonline.org Forums

Linearity

Posted By: eXtreme Gammon
Date: Friday, 14 May 2010, at 12:48 a.m.

In Response To: Linearity (Rich Munitz)

Rich The actual formula is result := 1/(1+exp(-performance*40-1.12))*2000+732 "

Perhaps Xavier can explain how he arrived at this formula.

This was determined empirically by analyzing the over 2000 matches played on GammonSite against the bots (player wit at least 400 experience).

I also took into account the actual Elo of XGIntermediate in GammonSite which is playing around 1780 Elo and my own results. These gave me more accurate measure for two points of the graph.

Note that the difference between the exponential formula and the linear one is only noticeable for error above 0.020 eq per decision (PR=10)

The Elo scale displayed is GammonSite, for reference NeilKaz is around 2120 elo

Messages In This Thread

• Elo difference mapping to Snowie ER
  Klaus Evers -- Sunday, 9 May 2010, at 10:03 p.m.
  • Elo difference mapping to Snowie ER
    Leonardo Jerkovic -- Sunday, 9 May 2010, at 10:16 p.m.
    • Elo difference mapping to Snowie ER
      Christian Plenz -- Monday, 10 May 2010, at 2:17 a.m.
      • Elo difference mapping to Snowie ER
        Rich Munitz -- Monday, 10 May 2010, at 2:34 a.m.
        • Elo difference mapping to Snowie ER
          Iancho Hristov -- Monday, 10 May 2010, at 4:57 a.m.
        • Elo difference mapping to Snowie ER
          Neil Robins -- Monday, 10 May 2010, at 5:36 a.m.
          • Elo difference mapping to Snowie ER
            Timothy Chow -- Monday, 10 May 2010, at 3:38 p.m.
            • Elo difference mapping to Snowie ER
              Rich Munitz -- Monday, 10 May 2010, at 5:33 p.m.
            • Linearity
              Chuck Bower -- Thursday, 13 May 2010, at 7:34 p.m.
              • Linearity
                Timothy Chow -- Thursday, 13 May 2010, at 8:57 p.m.
              • Linearity
                Rich Munitz -- Thursday, 13 May 2010, at 11:46 p.m.
                • Linearity
                  eXtreme Gammon -- Friday, 14 May 2010, at 12:48 a.m.
                  • Linearity
                    eXtreme Gammon -- Friday, 14 May 2010, at 1:04 a.m.
                    • Linearity
                      Tom Keith -- Saturday, 15 May 2010, at 12:11 p.m.
  • Reminder: I was interested in Snowie Error Rate difference
    Klaus Evers -- Monday, 10 May 2010, at 7:14 a.m.
    • Reminder: I was interested in Snowie Error Rate difference
      Stick -- Monday, 10 May 2010, at 7:50 a.m.
    • Reminder: I was interested in Snowie Error Rate difference
      Neil Robins -- Monday, 10 May 2010, at 3:32 p.m.
      • Agreed: 100 elo ~ 2.6 Snowie ER
        Klaus Evers -- Monday, 10 May 2010, at 6:24 p.m.