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Kleinman count investigation

Posted By: Stein Kulseth
Date: Thursday, 7 April 2011, at 8:11 p.m.

I regularily use the Kleinman count to evaluate races (Those of you not familiar with it, or who wants a refresher can see Chuck's presentation of it here: http://www.bkgm.com/rgb/rgb.cgi?view+500), but I cannot recall having seen any modern day investigations of it. It is fairly old, pre-bot, and it would not be too much work to try to verify it with a set of rollouts. So that's what I did, Rollouts were with GNU, initially with my normal 1296 settings, but I shortened it to 432 and 216, seeing that those were sufficient for convergence. I used normal-looking and efficient positions, where there would be no need to modify the pip count for wastage. There still may be distribution issues that makes a position do better or worse than the mere pip count would indicate - but I haven't gone into details on that.

I was pleased to see that the KC did quite well - better than I had thought - for a wide range of pip counts. Without further ado here are my results:

Pip APip BKC coeffKC winsRolloutDiff %-ptPos
40400,2162,3%64,9%-2,6%Position ID: tm0AALBtAwAAAA
40410,3265,2%67,9%-2,7%Position ID: um0AALBtAwAAAA
40430,6271,0%71,5%-0,5%Position ID: 2m4AALBtAwAAAA
40451,0076,0%76,0%0,0%Position ID: 6nYAALBtAwAAAA
40471,4680,4%80,0%0,4%Position ID: bHcAALBtAwAAAA
40502,2885,4%86,1%-0,7%Position ID: 6u4AAGDbBgAAAA
40553,9791,9%92,8%-0,9%Position ID: 2u4BAMC2DQAAAA
60610,2162,3%65,0%-2,7%Position ID: 7W4XAADt7hYAAA
60630,4167,1%68,0%-0,9%Position ID: bXcXAADt7hYAAA
60650,6771,8%71,8%0,0%Position ID: bXdHAADt7hYAAA
60670,9876,5%77,9%-1,4%Position ID: bbdLAADt7hYAAA
60701,5681,0%82,2%-1,2%Position ID: bbuTAADt7hYAAA
60752,7687,8%88,5%-0,7%Position ID: td2VAADt7hYAAA
60804,2492,7%92,6%0,1%Position ID: td2VAADt7hYAAA
60855,9696,0%95,9%0,1%Position ID: 2u6VAADt7hYAAA
80810,1660,7%61,4%-0,7%Position ID: 2u6ZAADa7lkAAA
80830,3164,8%65,7%-0,9%Position ID: 2u4ZAgDa7lkAAA
80850,5068,9%70,3%-1,4%Position ID: 2u4cAgDa7lkAAA
80870,7473,0%73,7%-0,7%Position ID: 2u4sBADa7lkAAA
80901,1877,8%78,6%-0,8%Position ID: 2u4MBQDa7lkAAA
80952,1184,6%85,8%-1,2%Position ID: 2nYWBgDa7lkAAA
801003,2789,8%90,2%-0,4%Position ID: bDubBADa7lkAAA
801054,6593,9%93,7%0,2%Position ID: tJ2bBADa7lkAAA
1001010,1359,5%60,0%-0,5%Position ID: 2D03AgDYPTcBAA
1001030,2563,2%63,9%-0,7%Position ID: 2J07AQDYPTcBAA
1001050,4066,9%67,5%-0,6%Position ID: 2J07BADYPTcBAA
1001070,6070,6%70,8%-0,2%Position ID: 2J2bBADYPTcBAA
1001100,9576,0%75,5%0,5%Position ID: 2J0rBgDYPTcBAA
1001151,7182,1%82,2%-0,1%Position ID: 2M5NBgDYPTcBAA
1001202,6787,3%87,4%-0,1%Position ID: 2M4mBwDYPTcBAA
1001253,8191,4%91,4%0,0%Position ID: aOdGBwDYPTcBAA
1001305,1295,1%94,3%0,8%Position ID: sHNHBwDYPTcBAA
1201230,2162,1%62,4%-0,3%Position ID: cOfsBABw59wBAA
1201250,3465,5%65,6%-0,1%Position ID: cOdsBgBw59wBAA
1201300,8073,8%73,2%0,6%Position ID: sHNuBgBw59wBAA
1201351,4480,3%79,6%0,7%Position ID: sDM3BwBw59wBAA
1201402,2585,3%84,9%0,3%Position ID: sDmbBwBw59wBAA
1201504,3593,0%92,3%0,7%Position ID: 0MyuBwBw59wBAA
1401450,2964,3%65,8%-1,5%Position ID: 4OycBwDQ3DkHAA
1401500,6972,1%71,4%0,7%Position ID: 4GzOBwDQ3DkHAA
1401551,2478,4%77,9%0,5%Position ID: YDbPBwDQ3DkHAA
1401601,9583,6%83,2%0,4%Position ID: YGrnBwDQ3DkHAA
1401703,7891,3%91,0%0,3%Position ID: INrzBwDQ3DkHAA

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