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 Random Walker Rankings (p=0.75)
Games Through Saturday December 2nd
RW RWFL
RankTeam (Wins-Losses)% of Total Votes Team (Wins-Losses)%(First)-%(Last)
1Florida (12-1)2.6043Florida (12-1)2.3717
2Southern Cal (10-2)2.4950Southern Cal (10-2)2.2838
3Ohio State (12-0)2.4656Ohio State (12-0)2.1911
4Michigan (11-1)2.1151Michigan (11-1)1.8539
5Auburn (10-2)2.0481Auburn (10-2)1.7368
6Louisville (11-1)1.9846Louisville (11-1)1.7162
7LSU (10-2)1.9717LSU (10-2)1.7061
8Boise St (12-0)1.8395Boise St (12-0)1.5138
9California (9-3)1.8001California (9-3)1.5067
10Arkansas (10-3)1.6829Notre Dame (10-2)1.3882
11Notre Dame (10-2)1.6753Arkansas (10-3)1.3470
12Tennessee (9-3)1.6420Tennessee (9-3)1.3370
13Oregon St (9-4)1.6040Oregon St (9-4)1.2614
14West Virginia (10-2)1.5519West Virginia (10-2)1.2311
15Rutgers (10-2)1.5515Rutgers (10-2)1.2075
16Oklahoma (11-2)1.5161Oklahoma (11-2)1.1986
17Wisconsin (11-1)1.4490UCLA (7-5)1.0586
18Virginia Tech (10-2)1.4474Wisconsin (11-1)1.0548
19Wake Forest (11-2)1.4353Wake Forest (11-2)1.0519
20UCLA (7-5)1.4300Virginia Tech (10-2)1.0475
21Boston College (9-3)1.3040Texas (9-3)0.8871
22Texas (9-3)1.2868Oregon (7-5)0.8227
23Georgia (8-4)1.2473Georgia (8-4)0.7886
24Oregon (7-5)1.2349Boston College (9-3)0.7667
25Arizona (6-6)1.1584Arizona (6-6)0.7071
26Washington St (6-6)1.1130Texas A&M (9-3)0.6719
27Texas A&M (9-3)1.0992Washington St (6-6)0.6642
28Brigham Young (10-2)1.0921Brigham Young (10-2)0.6609
29Arizona St (7-5)1.0918Arizona St (7-5)0.6600
30Georgia Tech (9-4)1.0729Nebraska (9-4)0.6137
31Nebraska (9-4)1.0516South Carolina (7-5)0.6129
32South Carolina (7-5)1.0388Georgia Tech (9-4)0.6075
33Kentucky (7-5)1.0266Kentucky (7-5)0.6000
34Clemson (8-4)1.0195Clemson (8-4)0.5300
35Cincinnati (7-5)0.9935Penn State (8-4)0.5063
36Penn State (8-4)0.9769Cincinnati (7-5)0.4899
37South Florida (8-4)0.9696Hawai`i (10-3)0.4854
38Houston (10-3)0.9603Houston (10-3)0.4568
39Maryland (8-4)0.9600Maryland (8-4)0.4453
40Hawai`i (10-3)0.9592TCU (10-2)0.4358
41Washington (5-7)0.9583South Florida (8-4)0.4313
42TCU (10-2)0.9136Washington (5-7)0.4181
43Missouri (8-4)0.8861Missouri (8-4)0.3623
44Navy (9-3)0.8359Navy (9-3)0.2769
45Alabama (6-6)0.8156Southern Miss (8-5)0.2200
46Southern Miss (8-5)0.7782Tulsa (8-4)0.2063
47Tulsa (8-4)0.7777Alabama (6-6)0.1695
48Texas Tech (7-5)0.7672Purdue (8-5)0.1682
49Kansas St (7-5)0.7670Minnesota (6-6)0.1632
50Minnesota (6-6)0.7599Kansas St (7-5)0.1424
51Central Michigan (9-4)0.7595Texas Tech (7-5)0.1318
52Purdue (8-5)0.7465Central Michigan (9-4)0.1237
53Florida St (6-6)0.7453Rice (7-5)0.1178
54Miami FL (6-6)0.7198San Jose St (8-4)0.1006
55Iowa (6-6)0.7075Nevada (8-4)0.0994
56Rice (7-5)0.7064Florida St (6-6)0.0789
57Nevada (8-4)0.7046Oklahoma St (6-6)0.0675
58Pittsburgh (6-6)0.6985Pittsburgh (6-6)0.0348
59San Jose St (8-4)0.6875East Carolina (7-5)0.0195
60Oklahoma St (6-6)0.6786Iowa (6-6)-0.0017
61East Carolina (7-5)0.6682Miami FL (6-6)-0.0479
62Ohio U. (9-4)0.6626Middle Tennessee St (7-5)-0.0605
63Utah (7-5)0.6407Utah (7-5)-0.0620
64Vanderbilt (4-8)0.6407Ohio U. (9-4)-0.0854
65Indiana (5-7)0.6295Western Michigan (8-4)-0.1385
66Middle Tennessee St (7-5)0.6180Mississippi (4-8)-0.1693
67Kansas (6-6)0.5965Vanderbilt (4-8)-0.1902
68Western Michigan (8-4)0.5936Connecticut (4-8)-0.2183
69Mississippi (4-8)0.5881Kansas (6-6)-0.2233
70Northern Illinois (7-5)0.5676Indiana (5-7)-0.2315
71Connecticut (4-8)0.5668Syracuse (4-8)-0.2646
72Michigan St (4-8)0.5462Troy (7-5)-0.3006
73Syracuse (4-8)0.5387Wyoming (6-6)-0.3072
74Mississippi St (3-9)0.5385Virginia (5-7)-0.3108
75Troy (7-5)0.5341Northern Illinois (7-5)-0.3328
76Stanford (1-11)0.5294Mississippi St (3-9)-0.3744
77Virginia (5-7)0.5215SMU (6-6)-0.3806
78Louisiana-Lafayette (6-6)0.5187Michigan St (4-8)-0.4174
79SMU (6-6)0.5183Baylor (4-8)-0.4251
80Wyoming (6-6)0.5168Marshall (5-7)-0.4293
81Tulane (4-8)0.5018Tulane (4-8)-0.4405
82Northwestern (4-8)0.5011Stanford (1-11)-0.4511
83Baylor (4-8)0.4961New Mexico (6-6)-0.4864
84Fresno St (4-8)0.4924Arkansas St (6-6)-0.5089
85North Carolina St (3-9)0.4795Louisiana-Lafayette (6-6)-0.5139
86New Mexico (6-6)0.4650Central Florida (4-8)-0.5417
87Marshall (5-7)0.4621Fresno St (4-8)-0.5653
88North Carolina (3-9)0.4551North Carolina (3-9)-0.5840
89Arkansas St (6-6)0.4530Idaho (4-8)-0.6001
90Iowa St (4-8)0.4522Northwestern (4-8)-0.6170
91Air Force (4-8)0.4441UTEP (5-7)-0.6340
92Central Florida (4-8)0.4356Iowa St (4-8)-0.6393
93Idaho (4-8)0.4260Florida Atlantic (5-7)-0.6412
94UTEP (5-7)0.4084Air Force (4-8)-0.6587
95Kent St (6-6)0.4037North Carolina St (3-9)-0.7009
96Ball St (5-7)0.4028Akron (5-7)-0.7756
97Illinois (2-10)0.4003Ball St (5-7)-0.7851
98Toledo (5-7)0.3939Kent St (6-6)-0.8072
99Florida Atlantic (5-7)0.3855Louisiana-Monroe (4-8)-0.8667
100Akron (5-7)0.3825Army (3-9)-0.8779
101Bowling Green (4-8)0.3779New Mexico St (4-8)-0.8907
102Colorado (2-10)0.3738Alabama-Birmingham (3-9)-0.9078
103Alabama-Birmingham (3-9)0.3697Colorado St (4-8)-0.9454
104Army (3-9)0.3613Illinois (2-10)-0.9523
105Louisiana-Monroe (4-8)0.3599Toledo (5-7)-0.9798
106New Mexico St (4-8)0.3518Louisiana Tech (3-10)-0.9802
107Louisiana Tech (3-10)0.3456San Diego St (3-9)-1.1049
108Colorado St (4-8)0.3376Colorado (2-10)-1.1580
109Buffalo (2-10)0.3217Memphis (2-10)-1.2828
110San Diego St (3-9)0.3215North Texas (3-9)-1.3378
111Utah St (1-11)0.3154Bowling Green (4-8)-1.3660
112Non-Division IA (XXX-XXX)0.3141Utah St (1-11)-1.4487
113North Texas (3-9)0.2946UNLV (2-10)-1.4589
114Temple (1-11)0.2940Non-Division IA (XXX-XXX)-1.4618
115Memphis (2-10)0.2907Miami OH (2-10)-1.6629
116Duke (0-12)0.2863Buffalo (2-10)-1.6642
117UNLV (2-10)0.2712Temple (1-11)-1.6906
118Miami OH (2-10)0.2466Duke (0-12)-1.9395
119Eastern Michigan (1-11)0.2162Eastern Michigan (1-11)-2.2031
120Florida Int'l (0-12)0.1946Florida Int'l (0-12)-2.7064


GT UNC Copyright © 2006 Peter J. Mucha (mucha@unc.edu), Thomas Callaghan, Mason A. Porter

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