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Results-Based PR

Posted By: Rick Janowski
Date: Sunday, 1 February 2015, at 4:30 a.m.

In Response To: VRR - Challenge (Rick Janowski)

The following provides a methodology for obtaining an equivalent PR value based on results rather than error rate, but directly comparible with the conventional PR.

From Player Profile in XG (Players - All players summary) obtain the following data:

PRopp = Opponent's PR (All opponents)

N = Number of matches

L = Average Match Length

VRWR = Variance Reduced Win Rate = "Should have Won"/N

The equivalent PR derived from variance reduced results (rather than error rate) may be given by the following expression.

PRvrwr = PRopp +(2000*LOG10(1/VRWR - 1))/L^0.5)/33

Thanks very much to Maik Stiebler for explaining the VRR methodology and how the various factors may be obtained from XG.

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