This thread combined with watching Searching for Bobby Fischer earlier today got me wondering how to apply the Elo Rating to FRC, and I think I figured it out. This is the resulting data from the 7 weeks of the 2013 season (Sorted by rating)
Code:
4650 982.089794296798
4755 998.879722986273
1160 1005.63580696492
4234 1007.80265488653
321 1007.93578705957
4060 1014.18233417492
865 1019.24769809173
204 1020.69112670188
818 1026.19352966173
4398 1026.94694016844
1506 1027.13742298458
3167 1028.83751255313
4573 1029.51467487536
3607 1031.21268304486
3453 1031.409363359
2506 1032.43385656209
4532 1032.58573597814
4471 1033.6777037715
1255 1036.95596581586
3515 1037.28640791865
2902 1037.42220102578
4081 1037.84181433329
4680 1039.48464889698
2171 1040.8630633741
4743 1041.31651481374
2926 1042.093260529
451 1042.62182460209
322 1043.6491404653
2832 1045.7148780529
4517 1047.40106468987
4032 1048.18782072589
581 1049.54403251529
4404 1052.80909969208
3536 1053.85665934844
4653 1056.60256481931
1941 1057.03537072986
3256 1057.419034185
4289 1060.95837747809
2853 1061.25162605869
3302 1061.69907895085
3237 1062.41655580015
3783 1062.87822077035
4454 1063.26768643071
4406 1063.49864842402
1922 1064.38666730322
1522 1064.83589998138
4793 1066.85041465773
3493 1067.18136428509
1675 1067.33292602519
2405 1067.96609174255
1351 1068.64718936007
1661 1069.05052097351
3491 1069.21829793876
4721 1069.35729443129
3719 1069.61730092672
4337 1070.04721840224
2180 1070.50167915705
1607 1071.82120266813
280 1072.28193752885
3716 1072.42100870067
4782 1072.53570071915
907 1072.77895957834
3853 1073.96657546736
3398 1074.12978051664
3831 1074.83144694104
423 1074.93771105545
4387 1075.14320913319
3623 1075.95829915874
4637 1076.99431785768
4785 1077.39028590692
4010 1077.58097698408
3259 1077.66200955262
313 1077.96750350088
752 1078.16212218756
3640 1078.17050159868
2156 1078.77450505749
4373 1079.01398736869
4275 1079.43107862278
2347 1079.61536832881
3055 1080.49350385937
3100 1081.2064890464
1209 1081.44587036605
2458 1081.69975698823
4747 1081.86246365315
548 1082.03753483035
1802 1082.10845458727
3740 1082.5393333918
3706 1082.66358990428
3615 1082.99884972842
4088 1083.3464915471
1989 1083.64787319436
2530 1083.65739551926
4507 1083.79174528648
4639 1084.08420058144
533 1085.14076476803
2107 1085.6233250042
4255 1086.28039414152
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3929 1086.89315133324
2191 1087.68429042904
3494 1087.90313183886
519 1088.18490654803
1289 1088.36782281918
4395 1088.56800522471
3585 1088.66650374476
857 1089.02084028869
3140 1089.6851438625
3568 1089.8180245225
2945 1090.09134827095
1764 1090.24097469259
73 1090.40285198676
4044 1090.52338655588
4753 1091.05346478885
3603 1091.61933041254
3081 1091.78368162201
3591 1091.98321459319
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3988 1092.36348562938
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3635 1092.81734459584
3861 1092.92803848603
3566 1093.4281570555
2083 1093.52538448422
2944 1093.53911741688
4131 1093.67536152029
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709 1094.03997707831
2917 1094.53167873938
1422 1094.56191474946
4171 1094.57727130836
3197 1094.62924479297
3451 1094.86168861649
1561 1094.9630856137
1099 1095.10908758044
4090 1095.17189499012
4083 1095.45198757451
4834 1095.55371195256
3083 1095.66946863574
2856 1096.34627763784
2838 1096.43318095319
1230 1096.4349285908
256 1096.61169329686
4849 1096.67558771439
3402 1096.76389419352
1518 1097.18679135328
1754 1097.87583607985
4300 1098.17013341134
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4547 1098.67318070806
4317 1099.09060314272
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3180 1099.32442737796
3388 1099.34055814799
3022 1099.46749688019
4403 1099.53870310003
1817 1099.76583418906
4380 1100.04566326468
1528 1100.23736924777
4555 1100.31988326256
4726 1100.41776108631
4105 1100.43931577878
3728 1100.54906331261
1529 1100.66929220804
3602 1100.75055144086
1446 1100.77564419029
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3175 1101.9981405542
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4807 1102.18542834292
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1537 1102.64399793526
4774 1102.86871945862
3667 1103.1218418768
1723 1103.13925498594
371 1103.49120376432
2910 1103.55594157467
2234 1103.64397887364
695 1103.80312438578
41 1104.07730737463
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2815 1105.1607201723
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1994 1106.97069886758
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1633 1107.50116491359
1137 1107.51606024809
2104 1107.53877538552
4675 1107.60213007288
63 1107.68408303326
1823 1107.71573241874
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4078 1107.91082565798
3973 1108.12323540307
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3337 1108.25488577378
4787 1108.26229647447
3035 1108.26500924424
2660 1108.28865759995
319 1108.3199317638
4773 1108.35835814322
4382 1108.41089118593
1058 1108.41672535955
1729 1108.91463502038
4478 1108.99204822242
4053 1108.99700357095
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3646 1109.03616832717
606 1109.52997827214
3788 1109.61153338867
3822 1109.64835718264
2895 1109.66526065837
4480 1109.66794025485
3283 1109.72171943257
3026 1109.77903930616
3575 1109.8337117978
4202 1109.83383180133
1972 1109.94716524097
3754 1110.02131721571
877 1110.10456031646
3168 1110.33939000611
3218 1110.60211576571
4671 1110.89361245317
4160 1110.98872836854
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4600 1111.32092415261
3201 1111.35554263891
988 1111.55203562623
3976 1111.73986196145
223 1111.82629743883
2498 1112.00819339418
2725 1112.01843636642
4165 1112.02227421547
4483 1112.06888761806
2455 1112.2320417372
1847 1112.51387556671
3800 1112.56999807922
3469 1112.66084022159
3705 1112.68338018752
2207 1112.75398379075
4748 1112.85552992071
1178 1112.93802787508
2423 1113.17018843453
3527 1113.25330083813
4050 1113.28369571121
2186 1113.31608281745
2404 1113.49989039187
3224 1113.56330639136
3381 1113.58518288808
4796 1113.61698112973
3639 1113.76525833464
2993 1113.78893544838
854 1113.8002233083
2070 1113.87550192555
614 1113.91283859423
4271 1113.93011576015
3555 1113.93909314656
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3668 1114.43388049551
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3054 1114.85050185298
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2909 1115.25233719677
4685 1115.30074192017
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3379 1115.87494240893
571 1115.94506923896
488 1115.95387186558
2912 1115.99432320944
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4768 1116.40533115538
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1126 1116.44009612737
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2261 1117.8043673863
619 1117.82828609388
835 1117.8989366004
1258 1118.6618775821
3743 1118.93378077197
751 1119.15672468365
3543 1119.44170603868
4810 1119.52092376664
3009 1119.54572255335
2224 1119.60552201394
4786 1119.61577576642
1304 1119.62672586039
457 1119.63574285791
2340 1119.87608281233
617 1120.0349540844
4643 1120.24544030326
2495 1120.3889744376
3353 1120.67595098316
292 1120.79194943679
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3815 1121.08194590371
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691 1121.25053277638
3509 1121.56112238182
2367 1121.57249278055
3415 1121.57986718985
1721 1121.59854414128
3366 1121.61139038932
2358 1121.7994231
3876 1121.97614540607
53 1122.08488939136
1811 1122.12447053853
1014 1122.33615512431
3318 1122.4423448386
4246 1122.56620512879
3368 1122.62781014975
2010 1122.64224177735
2830 1122.77958232268
937 1122.81526825817
4467 1122.94634073777
4390 1122.94868106553
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2022 1123.13818700882
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4197 1123.83876144016
2811 1123.84784804467
3037 1123.86249375673
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3521 1123.99340494413
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3029 1124.12485780296
3996 1124.31232212453
3951 1124.31712537787
4497 1124.39025940925
4114 1124.42873888487
3532 1124.64021597458
4396 1124.66244939679
4023 1124.70094339864
3735 1124.73972298578
4804 1124.79248490191
2747 1124.84620019496
3128 1124.87343115242
3357 1124.88449455382
2980 1124.98039650169
4621 1125.30686137498
4489 1125.39306023175
4104 1125.4757321273
3049 1125.52471101168
4238 1125.56000493963
4051 1125.59033290961
4240 1125.74974882145
2544 1125.77386410566
4723 1125.85270404079
665 1125.94296280064
117 1126.09098497072
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4854 1126.19486187291
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3637 1126.24229968996
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2205 1126.90995980571
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4036 1127.69258767289
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2134 1128.10243966058
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1143 1128.56972143302
714 1128.60348288075
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692 1130.04591547876
339 1130.11150667682
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1124 1132.04374782001
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2172 1132.23429225976
1703 1132.25313058243
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1156 1132.45128175716
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1918 1438.35183688243
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1937 1214.33288266654
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1965 1166.03823016061
1967 1266.59804657597
1972 1109.94716524097
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1977 1246.6259697767
1982 1239.5846866044
1983 1540.37859616682
1984 1176.79889908095
1985 1404.12577305486
1986 1696.82704216305
1987 1243.19824352584
1989 1083.64787319436
1991 1259.25870102443
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1997 1144.12092370351
2000 1433.42748392377
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2004 1146.78066808963
2010 1122.64224177735
2013 1330.84744303641
2016 1304.77158226126
2021 1231.36218991602
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4791 1226.77289361863
4792 1214.42095830569
4793 1066.85041465773
4794 1181.75000684866
4795 1146.03828902451
4796 1113.61698112973
4797 1332.99162879393
4798 1165.40813671457
4799 1197.62673412403
4800 1211.17511453921
4803 1214.76163042569
4804 1124.79248490191
4805 1255.73839796082
4807 1102.18542834292
4808 1138.31499585144
4809 1202.24581825252
4810 1119.52092376664
4811 1121.03119282398
4812 1252.25141636152
4814 1214.25999977625
4815 1189.85870239641
4816 1184.70089881474
4817 1199.68445669747
4818 1152.53475264832
4819 1230.46897335443
4820 1182.27527319276
4821 1210.0816360906
4823 1182.48251964251
4824 1274.00412127724
4825 1147.01795295115
4827 1148.50518719898
4828 1278.93111983802
4829 1210.37691627317
4830 1133.17375468716
4832 1191.36321864805
4833 1123.88222989458
4834 1095.55371195256
4835 1123.55145563676
4836 1138.62509667444
4838 1132.83470089359
4839 1146.96341090907
4840 1166.11151450111
4841 1164.16204016054
4842 1221.94635528239
4843 1132.06854216563
4845 1198.5312620239
4846 1123.13300295534
4847 1185.98943767919
4848 1204.42495894197
4849 1096.67558771439
4850 1214.51286765616
4851 1132.70232544743
4852 1173.6052343879
4853 1169.5893564853
4854 1126.19486187291
4855 1241.04231318184
4856 1101.63239304157
4859 1140.91825536466
Here's the Perl script I used. It takes a standard input file of a match number (just sequential is fine), red teams, blue teams, ("RED"|"BLUE"|"TIE") (referring to who won.
Code:
#!/usr/bin/perl
my %rating = ();
my @data = <STDIN>;
my $K = 32;
my $defaultElo = 1200;
# Just make sure a team number and default value of 1200 exists for each hash.
foreach(@data) {
my ($match, $red1, $red2, $red3, $blue1, $blue2, $blue3, $res) = split;
if (! exists $rating{$red1}) {
$rating{$red1} = $defaultElo
}
if (! exists $rating{$red2}) {
$rating{$red2} = $defaultElo
}
if (! exists $rating{$red3}) {
$rating{$red3} = $defaultElo
}
if (! exists $rating{$blue1}) {
$rating{$blue1} = $defaultElo
}
if (! exists $rating{$blue2}) {
$rating{$blue2} = $defaultElo
}
if (! exists $rating{$blue3}) {
$rating{$blue3} = $defaultElo
}
}
foreach (@data) {
my ($match, $red1, $red2, $red3, $blue1, $blue2, $blue3, $res) = split;
my $Ered = 1 / (1 + 10**((($rating{$blue1}+$rating{$blue2}+$rating{$blue3})/3-($rating{$red1}+$rating{$red2}+$rating{$red3})/3)/400));
my $Eblue = 1 / (1 + 10**((($rating{$red1}+$rating{$red2}+$rating{$red3})/3-($rating{$blue1}+$rating{$blue2}+$rating{$blue3})/3)/400));
if ($res eq 'RED') {
$rating{$red1} = $rating{$red1} + $K*(1 - $Ered);
$rating{$red2} = $rating{$red2} + $K*(1 - $Ered);
$rating{$red3} = $rating{$red3} + $K*(1 - $Ered);
$rating{$blue1} = $rating{$blue1} + $K*(0 - $Eblue);
$rating{$blue2} = $rating{$blue2} + $K*(0 - $Eblue);
$rating{$blue3} = $rating{$blue3} + $K*(0 - $Eblue);
}
if ($res eq 'BLUE') {
$rating{$red1} = $rating{$red1} + $K*(0 - $Ered);
$rating{$red2} = $rating{$red2} + $K*(0 - $Ered);
$rating{$red3} = $rating{$red3} + $K*(0 - $Ered);
$rating{$blue1} = $rating{$blue1} + $K*(1 - $Eblue);
$rating{$blue2} = $rating{$blue2} + $K*(1 - $Eblue);
$rating{$blue3} = $rating{$blue3} + $K*(1 - $Eblue);
}
if ($res eq 'TIE') {
$rating{$red1} = $rating{$red1} + $K*(0.5 - $Ered);
$rating{$red2} = $rating{$red2} + $K*(0.5 - $Ered);
$rating{$red3} = $rating{$red3} + $K*(0.5 - $Ered);
$rating{$blue1} = $rating{$blue1} + $K*(0.5 - $Eblue);
$rating{$blue2} = $rating{$blue2} + $K*(0.5 - $Eblue);
$rating{$blue3} = $rating{$blue3} + $K*(0.5 - $Eblue);
}
}
while(($key, $value) = each(%rating)) {
print $key . "\t" . $value . "\n";
}
Not sure how useful the Elo ratings are, but there is some statistical significance with having teams like 469, 67, 1114 and 2056 near the top. I'm nowhere near good enough with statistics to determine if this is enough data to work with (my instinct says no), but it's just another interesting way to look at wins/losses
(Edit: Had mistake in my calculation)