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Fri, 31 Mar 2000 05:59:24 -0700 |
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Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
based on 764 games played through
Game scores for this calculation provided by www.uscollegehockey.com
Software to perform the calculation developed by Charlie Shub
index team games win % last 16 being considered rpi won
----- ---- ----- ----- ------- ---------------- --- ---
1 Wisconsin 40 78.75 81.25 (13- 5- 1) 71.05 60.76 20
2 Maine 36 73.61 75.00 (11- 5- 3) 65.79 59.28 19
3 North Dakota 39 73.08 71.88 (10- 6- 4) 60.00 59.56 18
4 St Lawrence 33 75.76 93.75 ( 8- 5- 2) 60.00 57.89 17
5 Michigan State 43 72.09 81.25 ( 8- 4- 2) 64.29 56.98 15
6 New Hampshire 37 70.27 53.12 (11- 6- 2) 63.16 58.39 14
7 Boston University 39 67.95 71.88 ( 6- 7- 4) 47.06 57.06 14
8 Boston College 38 69.74 75.00 ( 8- 8- 1) 50.00 57.62 13
9 Colgate 32 71.88 81.25 (10- 3- 0) 76.92 55.91 13
10 Michigan 39 71.79 68.75 ( 5- 5- 3) 50.00 56.59 12
11 St Cloud 37 60.81 62.50 ( 8- 6- 2) 56.25 54.40 10
12 MSU-Mankato 35 58.57 68.75 ( 4- 7- 2) 38.46 52.16 9
13 Rensselaer 34 58.82 56.25 ( 5-10- 1) 34.38 52.48 7
14 Minnesota 41 51.22 50.00 ( 6-16- 2) 29.17 54.16 6
15 Niagara 17 58.82 62.50 ( 3- 2- 0) 60.00 50.94 6
16 Ferris State 37 54.05 50.00 ( 8- 9- 0) 47.06 51.67 4
17 Cornell 32 53.12 59.38 ( 5- 8- 1) 39.29 50.13 4
18 Northern Michigan 39 61.54 50.00 ( 4- 9- 2) 33.33 50.96 3
19 Clarkson 32 51.56 68.75 ( 4-12- 1) 26.47 50.58 3
20 Lake Superior 36 52.78 65.62 ( 8- 7- 0) 53.33 49.41 2
21 Providence 37 50.00 46.88 ( 5-10- 1) 34.38 50.10 1
Teams can earn points for each of the following criteria:
1. Head to head Competition (one point per game)
2. Record against common opponents
3. Record against teams under consideration
4. Record in last 16 games
5. Ratings percentage index
The record in the last 16 games, the record against teams
under consideration, the ratings percentage index, and
the number of pairwise comparisons won are listed above.
(for individual comparisons, subtract head to head record
from the overall 'being considered' record given above.)
The Ratings percentage index is used as a tiebreaker.
Summaries of head to head competition results, record
against common opponents, and overall pairwise
comparisons are given in 3 tables below.
Head To Head (row team wins over column team)
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 total
- - - - - - - - - - - - - - - - - - - - - -----
1 Wisconsin 2 1 1 3 1 5 13- 5- 1
2 Maine 1 2 2 2 4 11- 5- 3
3 North Dakota 2 3 1 2 2 10- 6- 4
4 St Lawrence 1 3 1 2 1 8- 5- 2
5 Michigan State 1 1 1 2 2 1 8- 4- 2
6 New Hampshire 2 1 1 2 1 2 2 11- 6- 2
7 Boston University 1 1 2 2 6- 7- 4
8 Boston College 2 2 1 1 2 8- 8- 1
9 Colgate 1 2 1 1 3 2 10- 3- 0
10 Michigan 1 2 1 1 5- 5- 3
11 St Cloud 1 1 2 4 8- 6- 2
12 MSU-Mankato 1 1 1 1 4- 7- 2
13 Rensselaer 1 1 1 1 1 5-10- 1
14 Minnesota 1 1 1 2 1 6-16- 2
15 Niagara 1 1 1 3- 2- 0
16 Ferris State 1 1 1 1 1 1 2 8- 9- 0
17 Cornell 1 1 3 5- 8- 1
18 Northern Michigan 3 1 4- 9- 2
19 Clarkson 1 1 2 4-12- 1
20 Lake Superior 1 2 2 3 8- 7- 0
21 Providence 1 1 1 1 1 5-10- 1
Common Opponents ('<' - row wins '^' - column wins 't' - tie)
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
- - - - - - - - - - - - - - - - - - - - -
1 Wisconsin < < < < t < < < < < < < < < < < < < < 18 0
2 Maine ^ < < < < ^ < < < < < ^ ^ ^ ^ < < < < < 14 6
3 North Dakota ^ ^ < < t < < < ^ < < < < < < t < < < < 15 3
4 St Lawrence ^ ^ ^ < < < < ^ t < < < < ^ < ^ < ^ < 11 7
5 Michigan State ^ ^ ^ < ^ < < < < ^ ^ t ^ ^ < ^ < < < ^ 9 10
6 New Hampshire ^ ^ t ^ < ^ ^ ^ < < < < < < ^ < < < < < 12 7
7 Boston University t < ^ ^ ^ < < < ^ ^ < ^ ^ < ^ < < < < < 11 8
8 Boston College ^ ^ ^ ^ ^ < ^ ^ < ^ < ^ < ^ ^ < < < < < 9 11
9 Colgate ^ ^ ^ ^ ^ < ^ < ^ < < < ^ ^ ^ < t < ^ < 8 11
10 Michigan ^ ^ < < ^ ^ < ^ < < < ^ < < < < < ^ < < 13 7
11 St Cloud ^ ^ ^ t < ^ < < ^ ^ ^ < ^ < ^ ^ < ^ ^ 6 12
12 MSU-Mankato ^ ^ ^ ^ < ^ ^ ^ ^ ^ < t < ^ ^ ^ < < < < 7 12
13 Rensselaer ^ < ^ ^ t ^ < < ^ < ^ t < t ^ < < < < < 10 7
14 Minnesota ^ < ^ ^ < ^ < ^ < ^ < ^ ^ < < ^ < ^ < < 10 10
15 Niagara ^ < ^ ^ < ^ ^ < < ^ ^ < t ^ ^ < < < < < 10 9
16 Ferris State ^ < ^ < ^ < < < < ^ < < < ^ < < ^ < ^ ^ 12 8
17 Cornell ^ ^ t ^ < ^ ^ ^ ^ ^ < ^ < ^ ^ < ^ < < 6 12
18 Northern Michigan ^ ^ ^ < ^ ^ ^ ^ t ^ < ^ ^ ^ ^ < ^ < < < 6 13
19 Clarkson ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < ^ ^ < ^ t ^ 3 16
20 Lake Superior ^ ^ ^ < ^ ^ ^ ^ < ^ < ^ ^ ^ ^ < ^ ^ t ^ 4 15
21 Providence ^ ^ ^ ^ < ^ ^ ^ ^ ^ < ^ ^ ^ ^ < ^ ^ < < 5 15
Total points ('<' - row wins '^' - column wins)
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
- - - - - - - - - - - - - - - - - - - - -
1 Wisconsin < < < < < < < < < < < < < < < < < < < < 20 0
2 Maine ^ < < < < < < < < < < < < < < < < < < < 19 1
3 North Dakota ^ ^ < < < < < < < < < < < < < < < < < < 18 2
4 St Lawrence ^ ^ ^ < < < < < < < < < < < < < < < < < 17 3
5 Michigan State ^ ^ ^ ^ ^ < < < < < < < < < < < < < < < 15 5
6 New Hampshire ^ ^ ^ ^ < ^ < ^ < < < < < < < < < < < < 14 6
7 Boston University ^ ^ ^ ^ ^ < ^ < < < < < < < < < < < < < 14 6
8 Boston College ^ ^ ^ ^ ^ ^ < ^ < < < < < < < < < < < < 13 7
9 Colgate ^ ^ ^ ^ ^ < ^ < ^ < < < < < < < < < < < 13 7
10 Michigan ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < 12 8
11 St Cloud ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < 10 10
12 MSU-Mankato ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < 9 11
13 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < < < < < 7 13
14 Minnesota ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < < < < 6 14
15 Niagara ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < < < < < 6 14
16 Ferris State ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < ^ < 4 16
17 Cornell ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < ^ < < 4 16
18 Northern Michigan ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < ^ < 3 17
19 Clarkson ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < 3 17
20 Lake Superior ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < ^ ^ 2 18
21 Providence ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < 1 19
This information is freely available for personal use.
Copyright 2000 Charlie Shub.
Republication without permission is prohibited.
Estimated NCAA Division 1 Ice Hockey ratings percentage index
based on 764 games played through
Game scores for this calculation provided by www.uscollegehockey.com
Software to perform the calculation developed by Charlie Shub
Weight 35% 50% 15%
G W L T win% rank opp% rank opp-opp Total
1 Wisconsin 40 31- 8- 1 78.75 ( 1) 50.86 (17) 51.77 ( 5) 60.76
2 North Dakota 39 26- 8- 5 73.08 ( 4) 52.67 ( 7) 50.99 (13) 59.56
3 Maine 36 24- 7- 5 73.61 ( 3) 51.44 (11) 51.99 ( 3) 59.28
4 New Hampshire 37 23- 8- 6 70.27 ( 8) 52.18 ( 9) 51.39 ( 9) 58.39
5 St Lawrence 33 24- 7- 2 75.76 ( 2) 47.96 (34) 49.27 (29) 57.89
6 Boston College 38 26-11- 1 69.74 ( 9) 50.80 (18) 52.07 ( 1) 57.62
7 Boston University 39 23- 9- 7 67.95 (10) 51.10 (13) 51.50 ( 8) 57.06
8 Michigan State 43 29-10- 4 72.09 ( 5) 48.60 (29) 49.63 (21) 56.98
9 Michigan 39 26- 9- 4 71.79 ( 7) 47.96 (35) 49.86 (20) 56.59
10 Colgate 32 22- 8- 2 71.88 ( 6) 46.65 (41) 49.54 (25) 55.91
11 St Cloud 37 21-13- 3 60.81 (12) 50.74 (20) 51.64 ( 6) 54.40
12 Minnesota 41 20-19- 2 51.22 (20) 57.24 ( 1) 50.76 (18) 54.16
13 Rensselaer 34 19-13- 2 58.82 (13) 49.22 (26) 48.54 (39) 52.48
14 MSU-Mankato 35 19-13- 3 58.57 (15) 47.78 (36) 51.79 ( 4) 52.16
15 Ferris State 37 19-16- 2 54.05 (16) 50.95 (16) 48.49 (40) 51.67
16 Colorado College 38 17-18- 3 48.68 (22) 53.93 ( 3) 50.92 (14) 51.64
17 Northern Michigan 39 22-13- 4 61.54 (11) 43.77 (44) 50.26 (19) 50.96
18 Niagara 17 9- 6- 2 58.82 (13) 45.84 (42) 49.59 (23) 50.94
19 Clarkson 32 15-14- 3 51.56 (19) 50.56 (21) 48.35 (42) 50.58
20 Cornell 32 16-14- 2 53.12 (17) 48.42 (30) 48.83 (38) 50.13
21 Providence 37 18-18- 1 50.00 (21) 49.74 (24) 51.52 ( 7) 50.10
22 Lake Superior 36 18-16- 2 52.78 (18) 47.05 (40) 49.45 (27) 49.41
23 Northeastern 36 12-19- 5 40.28 (28) 53.32 ( 5) 51.16 (10) 48.43
24 Nebraska-Omaha 45 16-22- 7 43.33 (26) 51.10 (14) 48.40 (41) 47.97
25 Merrimack 35 10-19- 6 37.14 (35) 54.48 ( 2) 50.76 (17) 47.85
26 Alaska-Anchorage 36 15-18- 3 45.83 (24) 48.27 (31) 50.77 (16) 47.79
27 Notre Dame 42 16-18- 8 47.62 (23) 47.18 (39) 49.49 (26) 47.68
28 Bowling Green 35 15-19- 1 44.29 (25) 48.97 (27) 49.21 (30) 47.37
29 Miami 36 13-20- 3 40.28 (28) 51.24 (12) 49.15 (32) 47.09
30 Denver 39 14-23- 2 38.46 (31) 50.20 (22) 51.08 (11) 46.22
31 Ohio State 34 11-19- 4 38.24 (32) 50.76 (19) 48.95 (33) 46.11
32 Mass Amherst 34 9-20- 5 33.82 (39) 52.87 ( 6) 50.86 (15) 45.90
33 Western Michigan 36 12-21- 3 37.50 (34) 51.05 (15) 48.21 (44) 45.88
34 Minnesota-Duluth 35 13-22- 0 37.14 (35) 50.09 (23) 52.05 ( 2) 45.85
35 Harvard 30 11-17- 2 40.00 (30) 48.19 (32) 49.44 (28) 45.51
36 Vermont 17 5- 9- 3 38.24 (32) 49.32 (25) 49.59 (22) 45.48
37 Yale 27 7-15- 5 35.19 (38) 51.80 (10) 48.32 (43) 45.46
38 Princeton 28 10-14- 4 42.86 (27) 45.78 (43) 48.90 (35) 45.23
39 Dartmouth 30 9-17- 4 36.67 (37) 47.66 (37) 49.16 (31) 44.04
40 Mass Lowell 32 7-22- 3 26.56 (41) 53.36 ( 4) 51.02 (12) 43.63
41 Brown 28 6-19- 3 26.79 (40) 48.08 (33) 48.86 (37) 40.74
42 Union 32 7-24- 1 23.44 (42) 47.45 (38) 48.93 (34) 39.27
43 Alaska-Fairbanks 32 5-25- 2 18.75 (43) 48.65 (28) 48.88 (36) 38.22
44 Michigan Tech 38 4-34- 0 10.53 (44) 52.63 ( 8) 49.59 (24) 37.44
Average 49.27 49.95 50.02 49.72
Standard Deviation 16.49 2.60 1.20 5.81
range 10.53 43.77 48.21
to 78.75 57.24 52.07
This information is freely available for personal use.
Copyright 2000 Charlie Shub.
Republication without permission is prohibited.
The total is calculated by the Rating Percentage Index method,
used as a tool by the NCAA in selecting teams for national
collegiate tournaments in several sports. Ratings are derived
by summing each team's winning percentage, the average winning
percentage of its opponents, and the average winning percentage
of its opponents' opponents, multiplied by the given weights.
Factors such as importance of game, margin of victory, or home
ice are not included in the calculations.
charlie shub University of Colorado at Colorado Springs
[log in to unmask] -or- [log in to unmask] -or- [log in to unmask]
(719) 262-3492 (fax) 262-3369 http://cs.uccs.edu/~cdash
HOCKEY-L is for discussion of college ice hockey; send information to
[log in to unmask], The College Hockey Information List.
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