We use the Random Walkers to rank all 120 Football Bowl Subdivision teams, plus the extra made-up "team" representing their collective Football Championship Subdivision opponents. The "votes" in the Random Walker (RW) system are all essentially first-place votes, teams with more votes ranked more highly. The Random Walker with First & Last (RWFL) system is a combination of "first-place" and "last-place" votes. We have determined that our bias parameter p=0.75 has nice properties for RWFL (near the minimum crossing probability when compared against round-robin standings), so we use p=0.75 for both RW and RWFL and are happy that this is coincidentally the same primary value we have used in the past for the RW rankings.

2007 Random Walker Rankings (p=0.75)
Games Through Saturday December 1st
RW RWFL
RankTeam (Wins-Losses)% of Total Votes Team (Wins-Losses)%(First)-%(Last)
1LSU (11-2)2.0693LSU (11-2)1.7846
2Virginia Tech (11-2)1.8742Virginia Tech (11-2)1.5748
3Georgia (10-2)1.8414Georgia (10-2)1.5516
4Oklahoma (11-2)1.8215Missouri (11-2)1.4813
5Missouri (11-2)1.8050Arizona St (10-2)1.4488
6Southern Cal (10-2)1.7972Southern Cal (10-2)1.4375
7Arizona St (10-2)1.7367Oklahoma (11-2)1.4367
8Ohio State (11-1)1.6861West Virginia (10-2)1.3391
9West Virginia (10-2)1.6794Ohio State (11-1)1.3249
10Florida (9-3)1.5953Florida (9-3)1.3143
11Kansas (11-1)1.5612Kansas (11-1)1.2021
12Boston College (10-3)1.5394Boston College (10-3)1.1856
13Hawai`i (12-0)1.4610South Florida (9-3)1.0671
14South Florida (9-3)1.4487Tennessee (9-4)1.0573
15Tennessee (9-4)1.4291Hawai`i (12-0)1.0500
16Oregon (8-4)1.4263Oregon (8-4)1.0209
17Cincinnati (9-3)1.3473Clemson (9-3)0.9761
18Clemson (9-3)1.3447Brigham Young (10-2)0.9422
19Virginia (9-3)1.3406Virginia (9-3)0.9400
20Brigham Young (10-2)1.3381Cincinnati (9-3)0.9039
21Illinois (9-3)1.3262Oregon St (8-4)0.9009
22Oregon St (8-4)1.3006Illinois (9-3)0.8699
23Auburn (8-4)1.2581Auburn (8-4)0.8621
24Connecticut (9-3)1.2171Connecticut (9-3)0.7887
25Arkansas (8-4)1.1909Texas (9-3)0.7332
26Texas (9-3)1.1735Arkansas (8-4)0.6886
27Kentucky (7-5)1.1440Kentucky (7-5)0.6727
28Wisconsin (9-3)1.1050Wake Forest (8-4)0.6392
29Michigan (8-4)1.0854Wisconsin (9-3)0.6235
30UCLA (6-6)1.0819Florida St (7-5)0.6091
31Florida St (7-5)1.0705Boise St (10-2)0.5143
32Wake Forest (8-4)1.0574Michigan (8-4)0.5116
33Boise St (10-2)1.0000UCLA (6-6)0.5102
34South Carolina (6-6)0.9974Mississippi St (7-5)0.4965
35Mississippi St (7-5)0.9972Central Florida (10-3)0.4832
36Utah (8-4)0.9894Air Force (9-3)0.4703
37Texas Tech (8-4)0.9871South Carolina (6-6)0.4671
38Central Florida (10-3)0.9839Penn State (8-4)0.4628
39California (6-6)0.9656Texas A&M (7-5)0.4580
40Texas A&M (7-5)0.9647Utah (8-4)0.4528
41Air Force (9-3)0.9599Georgia Tech (7-5)0.4171
42Penn State (8-4)0.9594Texas Tech (8-4)0.3954
43Alabama (6-6)0.9203California (6-6)0.3940
44Georgia Tech (7-5)0.9171Alabama (6-6)0.3554
45Colorado (6-6)0.9119Rutgers (7-5)0.3226
46Rutgers (7-5)0.8825Michigan St (7-5)0.2853
47Maryland (6-6)0.8780Maryland (6-6)0.2853
48Michigan St (7-5)0.8634Oklahoma St (6-6)0.2661
49Louisville (6-6)0.8552Troy (8-4)0.2649
50Tulsa (9-4)0.8371Colorado (6-6)0.2593
51Arizona (5-7)0.8254Louisville (6-6)0.2130
52Troy (8-4)0.8234New Mexico (8-4)0.1967
53New Mexico (8-4)0.8229Tulsa (9-4)0.1881
54Oklahoma St (6-6)0.8157Fresno St (8-4)0.1742
55Pittsburgh (5-7)0.7628Arizona (5-7)0.1628
56Fresno St (8-4)0.7466Nebraska (5-7)0.1061
57East Carolina (7-5)0.7453Purdue (7-5)0.1016
58Nebraska (5-7)0.7317TCU (7-5)0.0685
59Navy (8-4)0.7301North Carolina St (5-7)0.0669
60Washington St (5-7)0.7282East Carolina (7-5)0.0613
61Stanford (4-8)0.7273Indiana (7-5)0.0594
62North Carolina St (5-7)0.7218Washington St (5-7)0.0528
63Purdue (7-5)0.7194Vanderbilt (5-7)0.0384
64TCU (7-5)0.7025Pittsburgh (5-7)0.0225
65Indiana (7-5)0.6981Navy (8-4)-0.0179
66Miami FL (5-7)0.6945Miami FL (5-7)-0.0275
67Washington (4-9)0.6922Florida Atlantic (7-5)-0.0398
68Vanderbilt (5-7)0.6689Washington (4-9)-0.0473
69Kansas St (5-7)0.6674Bowling Green (8-4)-0.0842
70Iowa (6-6)0.6636Houston (8-4)-0.0977
71Florida Atlantic (7-5)0.6590Stanford (4-8)-0.0977
72Bowling Green (8-4)0.6300Kansas St (5-7)-0.1263
73Northwestern (6-6)0.6263Ball St (7-5)-0.1400
74Central Michigan (8-5)0.6166Northwestern (6-6)-0.1935
75Houston (8-4)0.6039Central Michigan (8-5)-0.1950
76Wyoming (5-7)0.6027Iowa (6-6)-0.2125
77Ball St (7-5)0.6005North Carolina (4-8)-0.2331
78Southern Miss (7-5)0.5738Wyoming (5-7)-0.2522
79North Carolina (4-8)0.5705Southern Miss (7-5)-0.2825
80Louisiana-Monroe (6-6)0.5652Mississippi (3-9)-0.2882
81Mississippi (3-9)0.5407San Diego St (4-8)-0.3818
82Notre Dame (3-9)0.5389Nevada (6-6)-0.3974
83Iowa St (3-9)0.5294Notre Dame (3-9)-0.4007
84Western Kentucky (7-5)0.5161Louisiana-Monroe (6-6)-0.4143
85Middle Tennessee St (5-7)0.4909Memphis (7-5)-0.4156
86San Diego St (4-8)0.4908Louisiana Tech (5-7)-0.4342
87Miami OH (6-7)0.4842Western Kentucky (7-5)-0.4507
88Memphis (7-5)0.4831San Jose St (5-7)-0.4821
89Louisiana Tech (5-7)0.4796Middle Tennessee St (5-7)-0.5298
90Ohio U. (6-6)0.4771Western Michigan (5-7)-0.5935
91Nevada (6-6)0.4765Miami OH (6-7)-0.6048
92Western Michigan (5-7)0.4653Ohio U. (6-6)-0.6418
93San Jose St (5-7)0.4641Baylor (3-9)-0.6525
94Syracuse (2-10)0.4456Toledo (5-7)-0.6723
95Baylor (3-9)0.4234Arkansas St (5-7)-0.6724
96Toledo (5-7)0.4147Buffalo (5-7)-0.7101
97UTEP (4-8)0.4129Colorado St (3-9)-0.7473
98Arkansas St (5-7)0.4087Syracuse (2-10)-0.7990
99Buffalo (5-7)0.3960Iowa St (3-9)-0.8306
100Akron (4-8)0.3926Akron (4-8)-0.8403
101Colorado St (3-9)0.3910Army (3-9)-0.8409
102Duke (1-11)0.3892Eastern Michigan (4-8)-0.8910
103Marshall (3-9)0.3864New Mexico St (4-9)-0.9710
104UNLV (2-10)0.3839Tulane (4-8)-0.9729
105Army (3-9)0.3679Duke (1-11)-0.9742
106Tulane (4-8)0.3651Marshall (3-9)-0.9836
107Eastern Michigan (4-8)0.3640Temple (4-8)-1.0044
108New Mexico St (4-9)0.3561UTEP (4-8)-1.0198
109Temple (4-8)0.3415UNLV (2-10)-1.0214
110Louisiana-Lafayette (3-9)0.3314Louisiana-Lafayette (3-9)-1.2277
111Kent St (3-9)0.3309Alabama-Birmingham (2-10)-1.2446
112FCS teams (XXX-XXX)0.3286Utah St (2-10)-1.2925
113Minnesota (1-11)0.3230Rice (3-9)-1.4278
114Utah St (2-10)0.3216Kent St (3-9)-1.4563
115North Texas (2-10)0.3189FCS teams (XXX-XXX)-1.4582
116Rice (3-9)0.3074Minnesota (1-11)-1.4744
117Alabama-Birmingham (2-10)0.3008Florida Int'l (1-11)-1.7117
118Florida Int'l (1-11)0.2800North Texas (2-10)-1.8526
119Idaho (1-11)0.2661Northern Illinois (2-10)-1.9372
120Northern Illinois (2-10)0.2319Idaho (1-11)-2.0790
121SMU (1-11)0.2242SMU (1-11)-2.1635


GT UNC Copyright © 2007 Peter J. Mucha (mucha@unc.edu), Thomas Callaghan, Mason A. Porter

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