We use the Random Walkers to rank all 119 Division-IA teams, plus the extra made-up "team" representing their collective Non-Division-IA 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.

2006-2007 Random Walker Rankings (p=0.75)
Games Through Monday January 8th
RW RWFL
RankTeam (Wins-Losses)% of Total Votes Team (Wins-Losses)%(First)-%(Last)
1Florida (13-1)2.9482Florida (13-1)2.7324
2Southern Cal (11-2)2.4905Southern Cal (11-2)2.2605
3Louisville (12-1)2.2616Louisville (12-1)2.0142
4Auburn (11-2)2.2099Auburn (11-2)1.9153
5LSU (11-2)2.1275LSU (11-2)1.8764
6Ohio State (12-1)2.0720Ohio State (12-1)1.7870
7Boise St (13-0)2.0517Boise St (13-0)1.7405
8Michigan (11-2)1.8307Michigan (11-2)1.5563
9California (10-3)1.7369West Virginia (11-2)1.4348
10West Virginia (11-2)1.7295California (10-3)1.4272
11Rutgers (11-2)1.6701Rutgers (11-2)1.3482
12Wisconsin (12-1)1.6135Wisconsin (12-1)1.2423
13Oregon St (10-4)1.5819Arkansas (10-4)1.2251
14Arkansas (10-4)1.5796Oregon St (10-4)1.2236
15Tennessee (9-4)1.5305Tennessee (9-4)1.1959
16Notre Dame (10-3)1.4511Notre Dame (10-3)1.1396
17Georgia (9-4)1.4324Georgia (9-4)1.0118
18Boston College (10-3)1.3919Oklahoma (11-3)1.0063
19Wake Forest (11-3)1.3757Wake Forest (11-3)0.9924
20Oklahoma (11-3)1.3476Boston College (10-3)0.9054
21Virginia Tech (10-3)1.3035Virginia Tech (10-3)0.8915
22Texas (10-3)1.2568Texas (10-3)0.8704
23Brigham Young (11-2)1.2543Brigham Young (11-2)0.8478
24UCLA (7-6)1.2424Kentucky (8-5)0.7921
25Kentucky (8-5)1.1786UCLA (7-6)0.7752
26South Carolina (8-5)1.1462South Carolina (8-5)0.7541
27Arizona (6-6)1.1283Penn State (9-4)0.6440
28Penn State (9-4)1.0828Arizona (6-6)0.6182
29South Florida (9-4)1.0804Cincinnati (8-5)0.5936
30Oregon (7-6)1.0604South Florida (9-4)0.5889
31Cincinnati (8-5)1.0593Oregon (7-6)0.5806
32Washington St (6-6)1.0551Maryland (9-4)0.5759
33Maryland (9-4)1.0419Texas A&M (9-4)0.5701
34Georgia Tech (9-5)1.0175Georgia Tech (9-5)0.5524
35Texas A&M (9-4)1.0098Washington St (6-6)0.5465
36Nebraska (9-5)0.9926Nebraska (9-5)0.5439
37TCU (11-2)0.9890TCU (11-2)0.5371
38Hawai`i (10-3)0.9678Hawai`i (10-3)0.4873
39Clemson (8-5)0.9505Clemson (8-5)0.4555
40Arizona St (7-6)0.9312Houston (10-4)0.3636
41Washington (5-7)0.9086Florida St (7-6)0.2949
42Florida St (7-6)0.8832Washington (5-7)0.2913
43Houston (10-4)0.8774Arizona St (7-6)0.2868
44Missouri (8-5)0.8243Southern Miss (9-5)0.2783
45Southern Miss (9-5)0.8176Missouri (8-5)0.2779
46Texas Tech (8-5)0.8042Texas Tech (8-5)0.2109
47Miami FL (7-6)0.7853Central Michigan (10-4)0.1897
48Central Michigan (10-4)0.7834Navy (9-4)0.1733
49Alabama (6-7)0.7766Oklahoma St (7-6)0.1634
50Navy (9-4)0.7681San Jose St (9-4)0.1548
51Kansas St (7-6)0.7508Kansas St (7-6)0.1174
52Pittsburgh (6-6)0.7428Miami FL (7-6)0.1057
53Utah (8-5)0.7349Pittsburgh (6-6)0.1013
54San Jose St (9-4)0.7347Alabama (6-7)0.0994
55Oklahoma St (7-6)0.7277Utah (8-5)0.0825
56Tulsa (8-5)0.7003Tulsa (8-5)0.0731
57Purdue (8-6)0.6742Purdue (8-6)0.0687
58Minnesota (6-7)0.6686Minnesota (6-7)0.0237
59Vanderbilt (4-8)0.6652Nevada (8-5)-0.0190
60Nevada (8-5)0.6609Rice (7-6)-0.0346
61Iowa (6-7)0.6387East Carolina (7-6)-0.0561
62East Carolina (7-6)0.6382Iowa (6-7)-0.0934
63Rice (7-6)0.6246Middle Tennessee St (7-6)-0.0967
64Mississippi (4-8)0.6084Mississippi (4-8)-0.1397
65Ohio U. (9-5)0.6034Vanderbilt (4-8)-0.1565
66Kansas (6-6)0.6008Troy (8-5)-0.1596
67Troy (8-5)0.5952Ohio U. (9-5)-0.1643
68Middle Tennessee St (7-6)0.5950Connecticut (4-8)-0.1698
69Connecticut (4-8)0.5903Western Michigan (8-5)-0.1885
70Indiana (5-7)0.5850Syracuse (4-8)-0.2101
71Syracuse (4-8)0.5676Kansas (6-6)-0.2132
72Mississippi St (3-9)0.5649Wyoming (6-6)-0.2479
73Wyoming (6-6)0.5576Virginia (5-7)-0.2756
74Western Michigan (8-5)0.5552Indiana (5-7)-0.2769
75Virginia (5-7)0.5354Mississippi St (3-9)-0.3222
76Northern Illinois (7-6)0.5177Northern Illinois (7-6)-0.4009
77Louisiana-Lafayette (6-6)0.5172SMU (6-6)-0.4031
78Michigan St (4-8)0.5115Baylor (4-8)-0.4277
79SMU (6-6)0.5062Marshall (5-7)-0.4333
80Tulane (4-8)0.5025Tulane (4-8)-0.4506
81North Carolina St (3-9)0.5008Michigan St (4-8)-0.4658
82Fresno St (4-8)0.4987Arkansas St (6-6)-0.4751
83Stanford (1-11)0.4972Louisiana-Lafayette (6-6)-0.4933
84Baylor (4-8)0.4887New Mexico (6-7)-0.5001
85Northwestern (4-8)0.4715Central Florida (4-8)-0.5315
86Arkansas St (6-6)0.4673North Carolina (3-9)-0.5578
87New Mexico (6-7)0.4664Fresno St (4-8)-0.5834
88Marshall (5-7)0.4653Florida Atlantic (5-7)-0.6017
89North Carolina (3-9)0.4505Idaho (4-8)-0.6169
90Central Florida (4-8)0.4495Stanford (1-11)-0.6170
91Air Force (4-8)0.4477Air Force (4-8)-0.6461
92Iowa St (4-8)0.4369Northwestern (4-8)-0.6516
93Idaho (4-8)0.4349North Carolina St (3-9)-0.6552
94UTEP (5-7)0.4037Iowa St (4-8)-0.6565
95Florida Atlantic (5-7)0.3942UTEP (5-7)-0.6580
96Illinois (2-10)0.3906Akron (5-7)-0.7563
97Toledo (5-7)0.3879Ball St (5-7)-0.8011
98Kent St (6-6)0.3865Kent St (6-6)-0.8301
99Akron (5-7)0.3861Louisiana-Monroe (4-8)-0.8355
100Ball St (5-7)0.3818New Mexico St (4-8)-0.8949
101Alabama-Birmingham (3-9)0.3722Army (3-9)-0.8997
102Colorado (2-10)0.3679Alabama-Birmingham (3-9)-0.9131
103New Mexico St (4-8)0.3651Colorado St (4-8)-0.9182
104Louisiana-Monroe (4-8)0.3646Illinois (2-10)-0.9563
105Bowling Green (4-8)0.3639Toledo (5-7)-0.9761
106Colorado St (4-8)0.3533Louisiana Tech (3-10)-0.9979
107Louisiana Tech (3-10)0.3490San Diego St (3-9)-1.0511
108Army (3-9)0.3487Colorado (2-10)-1.1916
109San Diego St (3-9)0.3446Memphis (2-10)-1.3070
110Buffalo (2-10)0.3293North Texas (3-9)-1.3180
111Utah St (1-11)0.3290Bowling Green (4-8)-1.3638
112Non-Division IA (XXX-XXX)0.3285Non-Division IA (XXX-XXX)-1.3902
113Temple (1-11)0.2959UNLV (2-10)-1.4298
114North Texas (3-9)0.2928Utah St (1-11)-1.4474
115Duke (0-12)0.2856Buffalo (2-10)-1.6317
116Memphis (2-10)0.2851Miami OH (2-10)-1.6674
117UNLV (2-10)0.2842Temple (1-11)-1.6867
118Miami OH (2-10)0.2401Duke (0-12)-1.8761
119Eastern Michigan (1-11)0.2066Eastern Michigan (1-11)-2.2172
120Florida Int'l (0-12)0.2021Florida Int'l (0-12)-2.6100


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

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