From: Ross Dickson ACHILLES NET>
Date: 1 jun 2003
Subject: Re: Dual ratings
It is with some trepidation that I present the least mean square results
for the enlarged data set Larry has produced.
Pan-Atlantic = 0.6 times ShogiClub24 + 1100 is a close approximation to the
linear regression (lms slope = 0.5962 , lms intercept = 1118.7).
The original data is in the first two columns, sorted in order of
SHogiClub24 score, the calculated Pan-Atlantic follows, and then the
difference between the calculated and Actual values of the Pan Atlantic
scores.
Actual Shogi Calc Actual
PanAtl Club24 PanAt - Calc
2422, 2284, 2485, -63
2455, 2118, 2386, 69
2255, 2013, 2323, -68
2285, 1993, 2311, -26
2174, 1925, 2270, -96
2195, 1753, 2167, 28
2094, 1555, 2049, 45
1980, 1513, 2024, -44
1660, 1507, 2020, -360
2118, 1455, 1989, 129
2101, 1465, 1995, 106
2012, 1453, 1988, 24
1926, 1378, 1943, -17
1852, 1377, 1942, -90
1973, 1312, 1904, 69
1809, 1298, 1895, -86
2044, 1181, 1825, 219
1908, 1161, 1813, 95
1599, 1157, 1811, -212
1769, 1149, 1806, -37
1924, 1124, 1791, 133
1827, 1091, 1771, 56
1791, 1072, 1760, 31
2074, 1064, 1755, 319
1784, 993, 1713, 71
1772, 933, 1677, 95
1620, 797, 1595, 25
1272, 789, 1591, -319
1505, 635, 1499, 6
1138, 336, 1320, -182
The large (and possibly periodic) deviation of a number of points is
interesting. Perhaps the starting rating does have some effect.
Ross
<>