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| Date: | Fri, 31 Mar 2000 05:53:09 -0700 |
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just out of curiosity, i ran the rpi and pwr on just games between the
major conferences and the 3 div 1 cha teams (air force, army, niagra)
Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
based on 784 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 (16- 6- 1) 71.74 60.91 21
2 Maine 36 73.61 75.00 (12- 5- 3) 67.50 59.55 20
3 North Dakota 39 73.08 71.88 (11- 6- 5) 61.36 59.75 19
4 St Lawrence 33 75.76 93.75 ( 8- 5- 2) 60.00 58.38 18
5 Michigan State 43 72.09 81.25 ( 8- 5- 2) 60.00 57.05 16
6 New Hampshire 37 70.27 53.12 (11- 6- 2) 63.16 58.66 15
7 Boston University 40 68.75 71.88 ( 7- 7- 4) 50.00 57.46 14
8 Colgate 33 72.73 81.25 (11- 4- 0) 73.33 55.98 14
9 Boston College 38 69.74 75.00 ( 8- 8- 1) 50.00 57.88 13
10 Michigan 39 71.79 68.75 ( 5- 5- 3) 50.00 56.67 13
11 Niagara 24 70.83 75.00 ( 4- 2- 0) 66.67 53.18 11
12 St Cloud 37 60.81 62.50 ( 8- 7- 3) 52.78 54.56 10
13 MSU-Mankato 35 58.57 68.75 ( 7- 8- 2) 47.06 52.37 9
14 Minnesota 41 51.22 50.00 (10-18- 2) 36.67 54.34 8
15 Rensselaer 35 60.00 56.25 ( 5-10- 1) 34.38 52.67 7
16 Colorado College 39 50.00 50.00 ( 7-16- 2) 32.00 52.04 5
17 Northern Michigan 39 61.54 50.00 ( 4- 9- 2) 33.33 51.02 4
18 Cornell 32 53.12 59.38 ( 5- 8- 1) 39.29 50.55 4
19 Ferris State 37 54.05 50.00 ( 8- 9- 0) 47.06 51.73 3
20 Clarkson 32 51.56 68.75 ( 4-12- 1) 26.47 50.83 3
21 Lake Superior 36 52.78 65.62 ( 8- 7- 0) 53.33 49.45 3
22 Providence 38 50.00 46.88 ( 6-10- 1) 38.24 49.77 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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 total
- - - - - - - - - - - - - - - - - - - - - - -----
1 Wisconsin 2 1 1 3 1 5 3 16- 6- 1
2 Maine 1 2 2 2 1 4 12- 5- 3
3 North Dakota 2 3 1 2 1 2 11- 6- 5
4 St Lawrence 1 1 3 2 1 8- 5- 2
5 Michigan State 1 1 1 2 2 1 8- 5- 2
6 New Hampshire 2 1 1 2 1 2 2 11- 6- 2
7 Boston University 1 1 2 1 2 7- 7- 4
8 Colgate 1 1 2 1 3 1 2 11- 4- 0
9 Boston College 2 2 1 1 2 8- 8- 1
10 Michigan 1 2 1 1 5- 5- 3
11 Niagara 1 1 1 1 4- 2- 0
12 St Cloud 1 1 2 4 8- 7- 3
13 MSU-Mankato 1 1 1 3 1 7- 8- 2
14 Minnesota 1 1 1 2 4 1 10-18- 2
15 Rensselaer 1 1 1 1 1 5-10- 1
16 Colorado College 1 1 1 1 1 2 7-16- 2
17 Northern Michigan 3 1 4- 9- 2
18 Cornell 1 1 3 5- 8- 1
19 Ferris State 1 1 1 1 1 1 2 8- 9- 0
20 Clarkson 1 1 2 4-12- 1
21 Lake Superior 1 2 3 2 8- 7- 0
22 Providence 1 1 1 1 1 1 6-10- 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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2
- - - - - - - - - - - - - - - - - - - - - -
1 Wisconsin < < < < t < < < < < < < < < < < < < < < 19 0
2 Maine ^ < < < < ^ < < < ^ < < ^ ^ < < < ^ < < < 15 6
3 North Dakota ^ ^ < < t < < < ^ < < < < < < < t < < < < 16 3
4 St Lawrence ^ ^ ^ < < < < ^ < t < < < < ^ < ^ < ^ < 12 7
5 Michigan State ^ ^ ^ < ^ < < < < ^ ^ ^ ^ t < < ^ < < < ^ 10 10
6 New Hampshire ^ ^ t ^ < ^ ^ ^ < < < < < < < < < ^ < < < 13 7
7 Boston University t < ^ ^ ^ < < < ^ ^ ^ < ^ ^ ^ < < ^ < < < 10 10
8 Colgate ^ ^ ^ ^ ^ < ^ < ^ ^ < < ^ < < t < ^ < ^ < 9 11
9 Boston College ^ ^ ^ ^ ^ < ^ ^ < ^ ^ < < ^ < < < ^ < < < 10 11
10 Michigan ^ ^ < < ^ ^ < < ^ < < < < ^ < < < < ^ < < 14 7
11 Niagara ^ < ^ ^ < ^ < < < ^ ^ < ^ < < < < ^ < < < 13 8
12 St Cloud ^ ^ ^ t < ^ < ^ < ^ < ^ ^ < < ^ ^ < ^ ^ 7 12
13 MSU-Mankato ^ ^ ^ ^ < ^ ^ ^ ^ ^ ^ < < t < < ^ ^ < < < 8 12
14 Minnesota ^ < ^ ^ < ^ < < ^ ^ < < ^ ^ ^ < ^ < ^ < < 10 11
15 Rensselaer ^ < ^ ^ t ^ < ^ < < ^ ^ t < ^ < < ^ < < < 10 9
16 Colorado College ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ ^ ^ < < ^ < < < < < 8 13
17 Northern Michigan ^ ^ ^ < ^ ^ ^ t ^ ^ ^ < ^ ^ ^ < ^ < < < < 7 13
18 Cornell ^ ^ t ^ < ^ ^ ^ ^ ^ ^ < < ^ ^ < ^ ^ < < 6 13
19 Ferris State ^ < ^ < ^ < < < < ^ < < < ^ < ^ ^ < < ^ ^ 12 9
20 Clarkson ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < ^ ^ ^ < ^ t ^ 3 17
21 Lake Superior ^ ^ ^ < ^ ^ ^ < ^ ^ ^ < ^ ^ ^ ^ ^ ^ < t ^ 4 16
22 Providence ^ ^ ^ ^ < ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ ^ ^ < < < 5 16
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2
- - - - - - - - - - - - - - - - - - - - - -
1 Wisconsin < < < < < < < < < < < < < < < < < < < < < 21 0
2 Maine ^ < < < < < < < < < < < < < < < < < < < < 20 1
3 North Dakota ^ ^ < < < < < < < < < < < < < < < < < < < 19 2
4 St Lawrence ^ ^ ^ < < < < < < < < < < < < < < < < < < 18 3
5 Michigan State ^ ^ ^ ^ ^ < < < < < < < < < < < < < < < < 16 5
6 New Hampshire ^ ^ ^ ^ < ^ ^ < < < < < < < < < < < < < < 15 6
7 Boston University ^ ^ ^ ^ ^ < < ^ < ^ < < < < < < < < < < < 14 7
8 Colgate ^ ^ ^ ^ ^ < ^ < ^ < < < < < < < < < < < < 14 7
9 Boston College ^ ^ ^ ^ ^ ^ < ^ < ^ < < < < < < < < < < < 13 8
10 Michigan ^ ^ ^ ^ ^ ^ ^ < ^ < < < < < < < < < < < < 13 8
11 Niagara ^ ^ ^ ^ ^ ^ < ^ < ^ ^ < ^ < < < < < < < < 11 10
12 St Cloud ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < ^ < 10 11
13 MSU-Mankato ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < 9 12
14 Minnesota ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < < < ^ < < < < 8 13
15 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < 7 14
16 Colorado College ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < 5 16
17 Northern Michigan ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < ^ < 4 17
18 Cornell ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < ^ ^ < < 4 17
19 Ferris State ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < 3 18
20 Clarkson ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < 3 18
21 Lake Superior ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ < ^ < ^ ^ 3 18
22 Providence ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < 1 20
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 784 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) 51.07 (16) 52.06 ( 4) 60.91
2 North Dakota 39 26- 8- 5 73.08 ( 4) 52.97 ( 5) 51.23 (11) 59.75
3 Maine 36 24- 7- 5 73.61 ( 3) 51.94 (10) 52.10 ( 3) 59.55
4 New Hampshire 37 23- 8- 6 70.27 ( 9) 52.67 ( 8) 51.54 ( 7) 58.66
5 St Lawrence 33 24- 7- 2 75.76 ( 2) 48.95 (29) 49.26 (30) 58.38
6 Boston College 38 26-11- 1 69.74 (10) 51.26 (14) 52.25 ( 2) 57.88
7 Boston University 40 24- 9- 7 68.75 (11) 51.40 (13) 51.31 (10) 57.46
8 Michigan State 43 29-10- 4 72.09 ( 6) 48.69 (32) 49.84 (21) 57.05
9 Michigan 39 26- 9- 4 71.79 ( 7) 48.10 (37) 49.96 (20) 56.67
10 Colgate 33 23- 8- 2 72.73 ( 5) 46.28 (42) 49.24 (31) 55.98
11 St Cloud 37 21-13- 3 60.81 (13) 50.99 (18) 51.88 ( 6) 54.56
12 Minnesota 41 20-19- 2 51.22 (20) 57.53 ( 1) 50.98 (14) 54.34
13 Niagara 24 16- 6- 2 70.83 ( 8) 42.19 (46) 48.62 (39) 53.18
14 Rensselaer 35 20-13- 2 60.00 (14) 48.80 (31) 48.48 (41) 52.67
15 MSU-Mankato 35 19-13- 3 58.57 (15) 48.13 (36) 52.05 ( 5) 52.37
16 Colorado College 39 18-18- 3 50.00 (21) 53.82 ( 3) 50.85 (16) 52.04
17 Ferris State 37 19-16- 2 54.05 (16) 51.02 (17) 48.70 (38) 51.73
18 Northern Michigan 39 22-13- 4 61.54 (12) 43.82 (44) 50.49 (19) 51.02
19 Clarkson 32 15-14- 3 51.56 (19) 50.99 (19) 48.59 (40) 50.83
20 Cornell 32 16-14- 2 53.12 (17) 49.24 (26) 48.93 (35) 50.55
21 Providence 38 18-18- 2 50.00 (21) 49.09 (27) 51.50 ( 8) 49.77
22 Lake Superior 36 18-16- 2 52.78 (18) 47.05 (39) 49.67 (24) 49.45
23 Northeastern 36 12-19- 5 40.28 (28) 53.78 ( 4) 51.36 ( 9) 48.69
24 Merrimack 35 10-19- 6 37.14 (35) 55.43 ( 2) 50.83 (17) 48.34
25 Nebraska-Omaha 45 16-22- 7 43.33 (26) 51.78 (11) 48.34 (43) 48.31
26 Alaska-Anchorage 36 15-18- 3 45.83 (24) 48.88 (30) 50.82 (18) 48.10
27 Notre Dame 42 16-18- 8 47.62 (23) 47.40 (38) 49.62 (25) 47.81
28 Bowling Green 35 15-19- 1 44.29 (25) 49.07 (28) 49.36 (27) 47.44
29 Miami 36 13-20- 3 40.28 (28) 51.24 (15) 49.29 (29) 47.11
30 Denver 40 15-23- 2 40.00 (30) 49.87 (23) 51.17 (12) 46.61
31 Western Michigan 36 12-21- 3 37.50 (34) 51.76 (12) 48.18 (44) 46.23
32 Ohio State 34 11-19- 4 38.24 (32) 50.79 (20) 49.18 (32) 46.15
33 Mass Amherst 35 10-20- 5 35.71 (39) 51.98 ( 9) 50.89 (15) 46.12
34 Minnesota-Duluth 35 13-22- 0 37.14 (35) 50.37 (22) 52.30 ( 1) 46.03
35 Vermont 17 5- 9- 3 38.24 (32) 50.44 (21) 49.47 (26) 46.02
36 Harvard 30 11-17- 2 40.00 (30) 48.68 (33) 49.68 (23) 45.79
37 Princeton 28 10-14- 4 42.86 (27) 46.74 (41) 48.94 (34) 45.71
38 Yale 29 8-16- 5 36.21 (38) 49.47 (25) 48.40 (42) 44.67
39 Dartmouth 30 9-17- 4 36.67 (37) 48.16 (35) 49.35 (28) 44.31
40 Mass Lowell 33 8-22- 3 28.79 (40) 52.95 ( 6) 51.11 (13) 44.22
41 Brown 28 6-19- 3 26.79 (41) 49.59 (24) 48.72 (37) 41.48
42 Union 33 8-24- 1 25.76 (42) 46.96 (40) 48.84 (36) 39.82
43 Air Force 12 3- 9- 0 25.00 (43) 45.62 (43) 46.18 (46) 38.49
44 Alaska-Fairbanks 32 5-25- 2 18.75 (44) 48.65 (34) 49.15 (33) 38.26
45 Michigan Tech 38 4-34- 0 10.53 (45) 52.91 ( 7) 49.77 (22) 37.60
46 Army 10 0- 9- 1 5.00 (46) 42.83 (45) 46.82 (45) 30.19
Average 48.33 49.81 49.94 49.31
Standard Deviation 17.82 2.99 1.43 6.58
range 5.00 42.19 46.18
to 78.75 57.53 52.30
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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