Bret Marr writes...
=> Charlie:
=>
=> Thanks for always posting the PWR rankings to the list. I'm curious,
=> just for the sake of argument, how the rankings would be affected if the
=> Icebreaker Tournament was included and maybe the Hall of Fame game. The
=> Hall of Fame game is, at least to my recollection, clearly an exhibition
=> game. But as far as I know, the Icebreaker Tournament is still up for
=> debate. I know some people don't think it is, but I have yet to see a
=> conclusive statement from the NCAA saying it's solved. I'm just
=> curious. SO, my questions to you is, how do I manipulate the numbers to
=> include the Icebreaker games. I'm not asking you to do it, because I'm
=> sure it's probably pretty tedious. But, I was never any good at
=> statistics in undergrad or grad school, so I need a little help.
=>
=> Thanks.
=>
=> Bret Marr
=> East Lansing, MI
=> (Acting purely out of self interest for the Spartans :-)
actually, it isn't THAT tedious. Here are 2 printouts
The first counts the icebreaker as exhibitions and the second does
not. in rpi, 1&2 trade, 3&4 trade, 8&9 trade, 11&12 trade, 15 jumps
to 13 dropping 13 and 14 down and 19 &20 swap
the PWR is less sensitive. 8 & 9 swap 11&12 swap 14 and 16 swap
consider this the free sample.....
cdash
counting the ice breaker as exhibition
Estimated NCAA Division 1 Ice Hockey ratings percentage index
based on 540 games played through 02/09/98
Game scores for this calculation provided by www.uscollegehockey.com
Weight 35% 50% 15%
G W L T win% rank opp% rank opp-opp Total
1 Boston University 25 19- 4- 2 80.00 ( 3) 53.88 ( 5) 51.01 (11) 62.59
2 North Dakota 26 21- 4- 1 82.69 ( 1) 50.84 (19) 50.66 (20) 61.96
3 New Hampshire 24 18- 5- 1 77.08 ( 5) 52.65 (11) 51.52 ( 5) 61.03
4 Michigan State 28 20- 4- 4 78.57 ( 4) 49.77 (27) 50.95 (13) 60.03
5 Michigan 28 21- 6- 1 76.79 ( 6) 50.17 (21) 51.71 ( 3) 59.71
6 Miami 27 17- 6- 4 70.37 ( 7) 52.42 (12) 51.62 ( 4) 58.58
7 Yale 21 17- 4- 0 80.95 ( 2) 44.38 (38) 48.22 (40) 57.75
8 Boston College 28 16- 8- 4 64.29 ( 9) 53.47 ( 8) 51.13 ( 7) 56.90
9 Wisconsin 26 17- 8- 1 67.31 ( 8) 50.14 (22) 52.04 ( 1) 56.43
10 St Cloud 24 14- 8- 2 62.50 (11) 51.35 (18) 51.13 ( 8) 55.22
11 Colgate 23 13- 8- 2 60.87 (12) 51.41 (17) 48.55 (36) 54.29
12 Ohio State 28 16-10- 2 60.71 (13) 50.71 (20) 51.15 ( 6) 54.28
13 Clarkson 21 12- 6- 3 64.29 ( 9) 47.62 (35) 49.10 (29) 53.68
14 Northeastern 27 15-10- 2 59.26 (14) 49.80 (26) 50.39 (22) 53.20
15 Northern Michigan 27 13-10- 4 55.56 (17) 51.74 (14) 50.91 (15) 52.95
16 Cornell 20 10- 8- 2 55.00 (18) 51.54 (15) 48.84 (31) 52.35
17 Colorado College 29 15-11- 3 56.90 (16) 48.45 (31) 50.95 (12) 51.78
18 Notre Dame 30 13-13- 4 50.00 (22) 53.16 (10) 50.94 (14) 51.72
19 Maine 24 9-12- 3 43.75 (28) 57.42 ( 1) 51.11 ( 9) 51.69
20 Minnesota-Duluth 28 13-14- 1 48.21 (24) 54.43 ( 4) 49.91 (24) 51.58
21 Princeton 19 9- 6- 4 57.89 (15) 47.98 (33) 48.07 (41) 51.47
22 Lake Superior 27 12-11- 4 51.85 (21) 49.53 (29) 50.79 (17) 50.53
23 Minnesota 28 12-16- 0 42.86 (29) 54.65 ( 3) 50.84 (16) 49.95
24 Providence 27 13-11- 3 53.70 (20) 46.60 (37) 49.70 (25) 49.55
25 Harvard 21 8-11- 2 42.86 (29) 53.77 ( 7) 48.75 (34) 49.20
26 Mass Lowell 25 10-12- 3 46.00 (25) 49.84 (25) 48.77 (33) 48.34
27 Ferris State 28 11-14- 3 44.64 (27) 48.87 (30) 51.03 (10) 47.71
28 Rensselaer 23 11- 9- 3 54.35 (19) 42.70 (41) 48.93 (30) 47.71
29 Michigan Tech 26 10-14- 2 42.31 (31) 48.28 (32) 51.90 ( 2) 46.74
30 Denver 26 9-16- 1 36.54 (33) 51.95 (13) 49.30 (27) 46.16
31 Brown 20 7-12- 1 37.50 (32) 49.89 (24) 48.75 (35) 45.38
32 Alaska-Fairbanks 27 7-17- 3 31.48 (36) 53.24 ( 9) 50.73 (18) 45.25
33 Dartmouth 21 9- 9- 3 50.00 (22) 40.85 (43) 48.55 (37) 45.21
34 Mankato State 24 10-12- 2 45.83 (26) 43.05 (39) 49.41 (26) 44.98
35 Merrimack 26 8-17- 1 32.69 (35) 49.91 (23) 49.23 (28) 43.78
36 Vermont 24 7-15- 2 33.33 (34) 47.43 (36) 48.83 (32) 42.71
37 Alaska-Anchorage 28 6-19- 3 26.79 (37) 51.48 (16) 50.42 (21) 42.68
38 Western Michigan 30 6-23- 1 21.67 (40) 54.73 ( 2) 50.30 (23) 42.49
39 St Lawrence 21 4-16- 1 21.43 (41) 53.87 ( 6) 48.35 (38) 41.69
40 Bowling Green 29 5-21- 3 22.41 (38) 49.64 (28) 50.73 (19) 40.27
41 Mass Amherst 23 4-17- 2 21.74 (39) 41.80 (42) 48.26 (39) 35.75
42 Union 22 3-16- 3 20.45 (42) 42.73 (40) 47.38 (42) 35.63
43 Army 14 1-13- 0 7.14 (44) 47.64 (34) 45.10 (43) 33.08
44 Air Force 7 1- 6- 0 14.29 (43) 40.75 (44) 44.64 (44) 32.07
Average 48.97 49.69 49.79 49.46
Standard Deviation 19.17 3.94 1.62 7.47
range 7.14 40.75 44.64
to 82.69 57.42 52.04
This information is freely available for personal use.
Copyright 1998 Charlie Shub.
Republication without permission is prohibited.
This calculation includes only teams eligible for the NCAA tournament.
Since Nebraska-Omaha and Niagara both fit the definition of
an Emerging Program, and the NCAA does not include emerging programs
in their calculations, their games are not included.
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.
Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
based on 540 games played through 02/09/98
Game scores for this calculation provided by www.uscollegehockey.com
index team games win % last 20 being considered rpi won
----- ---- ----- ----- ------- ---------------- --- ---
1 North Dakota 26 82.69 90.00 ( 8- 2- 1) 77.27 61.96 22
2 Boston University 25 80.00 80.00 ( 7- 4- 2) 61.54 62.59 20
3 Michigan State 28 78.57 77.50 ( 9- 2- 3) 75.00 60.03 20
4 Michigan 28 76.79 82.50 (10- 6- 0) 62.50 59.71 20
5 New Hampshire 24 77.08 72.50 ( 5- 4- 1) 55.00 61.03 17
6 Miami 27 70.37 65.00 ( 8- 5- 4) 58.82 58.58 17
7 Yale 21 80.95 80.00 ( 8- 3- 0) 72.73 57.75 17
8 Boston College 28 64.29 60.00 ( 8- 5- 2) 60.00 56.90 14
9 Wisconsin 26 67.31 62.50 ( 4- 5- 0) 44.44 56.43 13
10 St Cloud 24 62.50 67.50 ( 4- 4- 0) 50.00 55.22 13
11 Colgate 23 60.87 60.00 ( 7- 5- 2) 57.14 54.29 12
12 Ohio State 28 60.71 62.50 ( 8- 8- 1) 50.00 54.28 12
13 Clarkson 21 64.29 62.50 ( 4- 5- 2) 45.45 53.68 11
14 Northeastern 27 59.26 65.00 ( 5- 8- 0) 38.46 53.20 8
15 Cornell 20 55.00 55.00 ( 6- 5- 1) 54.17 52.35 8
16 Northern Michigan 27 55.56 55.00 ( 5- 7- 3) 43.33 52.95 7
17 Colorado College 29 56.90 57.50 ( 0- 8- 1) 5.56 51.78 6
18 Princeton 19 57.89 57.89 ( 4- 5- 2) 45.45 51.47 6
19 Lake Superior 27 51.85 57.50 ( 6- 6- 4) 50.00 50.53 4
20 Notre Dame 30 50.00 47.50 ( 5-11- 2) 33.33 51.72 3
21 Rensselaer 23 54.35 57.50 ( 2- 6- 1) 27.78 47.71 2
22 Providence 27 53.70 47.50 ( 2- 7- 2) 27.27 49.55 1
23 Dartmouth 21 50.00 47.50 ( 2- 6- 0) 25.00 45.21 0
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 20 games
5. Ratings percentage index
The record in the last 20 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.
Since Nebraska-Omaha and Niagara both fit the definition of
an Emerging Program, and the NCAA does not include emerging programs
in their calculations, their games are not included.
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 total
- - - - - - - - - - - - - - - - - - - - - - - -----
1 North Dakota 2 2 1 3 8
2 Boston University 1 1 1 2 1 1 7
3 Michigan State 2 1 1 1 1 1 2 9
4 Michigan 1 1 3 1 2 2 10
5 New Hampshire 1 1 1 1 1 5
6 Miami 2 1 1 1 1 2 8
7 Yale 2 1 2 2 1 8
8 Boston College 1 2 2 1 2 8
9 Wisconsin 1 2 1 4
10 St Cloud 2 2 4
11 Colgate 1 1 1 1 1 1 1 7
12 Ohio State 1 1 1 3 1 1 8
13 Clarkson 1 1 2 4
14 Northeastern 1 1 1 2 5
15 Cornell 1 1 1 2 1 6
16 Northern Michigan 1 2 1 1 5
17 Colorado College 0
18 Princeton 1 1 1 1 4
19 Lake Superior 1 1 2 1 1 6
20 Notre Dame 1 1 2 1 5
21 Rensselaer 1 1 2
22 Providence 1 1 2
23 Dartmouth 1 1 2
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
- - - - - - - - - - - - - - - - - - - - - - -
1 North Dakota ^ ^ ^ < t < < < < < < < < < < < < < ^ < 15 4
2 Boston University t < ^ < < t < < ^ < < ^ < < < < < < < 14 3
3 Michigan State < ^ < < < < < < < < ^ ^ < < < < < < ^ 15 4
4 Michigan < t < < < < < < t < < < < < < < < < < < < 19 0
5 New Hampshire < ^ ^ t < t < < < ^ < < ^ ^ < < < < < < 13 5
6 Miami ^ < ^ ^ < < < < < < < < < < < < < < < < 17 3
7 Yale t ^ ^ ^ t ^ < t < < < < < ^ t < < ^ < < < 11 6
8 Boston College ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < ^ t < ^ < < < < < 8 12
9 Wisconsin ^ t ^ ^ t ^ t < < < ^ < ^ ^ < < < < ^ t ^ < 9 9
10 St Cloud ^ ^ ^ ^ ^ ^ ^ < ^ < ^ < < ^ ^ ^ < 5 12
11 Colgate ^ ^ ^ t ^ ^ ^ < ^ ^ < ^ ^ < t ^ < t < ^ ^ < 6 13
12 Ohio State ^ ^ ^ ^ ^ ^ ^ < < < ^ t ^ t ^ ^ < < < ^ < 7 12
13 Clarkson ^ < < ^ < ^ ^ < ^ ^ < t < < < t < ^ < < < < 13 7
14 Northeastern ^ ^ < ^ ^ ^ ^ ^ < < < < ^ ^ ^ < < < ^ ^ < < 10 12
15 Cornell ^ ^ ^ ^ ^ ^ ^ < < ^ ^ t ^ < t ^ ^ ^ < < < < 7 13
16 Northern Michigan ^ < ^ ^ < ^ < t ^ ^ t < ^ < t ^ < < < < t 9 8
17 Colorado College ^ ^ ^ ^ < ^ t ^ ^ < < t ^ < < < ^ < ^ ^ 7 11
18 Princeton ^ ^ ^ ^ ^ ^ < ^ ^ < ^ ^ < ^ ^ t ^ < < 5 13
19 Lake Superior ^ ^ ^ ^ ^ ^ ^ ^ ^ < t ^ < ^ < ^ < ^ < ^ < 6 14
20 Notre Dame ^ ^ ^ ^ ^ ^ < ^ < ^ ^ ^ < ^ ^ < t < < < < 8 12
21 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ t < ^ ^ < ^ ^ ^ < ^ ^ < < 5 15
22 Providence < ^ ^ ^ ^ ^ < < < < ^ ^ ^ ^ < ^ < ^ ^ < 8 12
23 Dartmouth ^ ^ < ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ t < ^ ^ ^ ^ ^ 2 19
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
- - - - - - - - - - - - - - - - - - - - - - -
1 North Dakota < < < < < < < < < < < < < < < < < < < < < < 22 0
2 Boston University ^ < ^ < < < < < < < < < < < < < < < < < < < 20 2
3 Michigan State ^ ^ < < < < < < < < < < < < < < < < < < < < 20 2
4 Michigan ^ < ^ < < < < < < < < < < < < < < < < < < < 20 2
5 New Hampshire ^ ^ ^ ^ < ^ < < < < < < < < < < < < < < < < 17 5
6 Miami ^ ^ ^ ^ ^ < < < < < < < < < < < < < < < < < 17 5
7 Yale ^ ^ ^ ^ < ^ < < < < < < < < < < < < < < < < 17 5
8 Boston College ^ ^ ^ ^ ^ ^ ^ < < < < ^ < < < < < < < < < < 14 8
9 Wisconsin ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < < < < < < < < < < < 13 9
10 St Cloud ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < < 13 9
11 Colgate ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < 12 10
12 Ohio State ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < < < < < < < < < < < 12 10
13 Clarkson ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ < < < < < < < < < < 11 11
14 Northeastern ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < 8 14
15 Cornell ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < < < < < < 8 14
16 Northern Michigan ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < < < < < 7 15
17 Colorado College ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < 6 16
18 Princeton ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < < < < 6 16
19 Lake Superior ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < 4 18
20 Notre Dame ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < 3 19
21 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < 2 20
22 Providence ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < 1 21
23 Dartmouth ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ 0 22
This information is freely available for personal use.
Copyright 1998 Charlie Shub.
Republication without permission is prohibited.
Including the icebreaker...................
Estimated NCAA Division 1 Ice Hockey ratings percentage index
based on 542 games played through 02/09/98
Game scores for this calculation provided by www.uscollegehockey.com
Weight 35% 50% 15%
G W L T win% rank opp% rank opp-opp Total
1 North Dakota 26 21- 4- 1 82.69 ( 1) 50.92 (19) 50.78 (19) 62.02
2 Boston University 26 19- 5- 2 76.92 ( 5) 54.70 ( 4) 50.69 (20) 61.88
3 Michigan State 29 21- 4- 4 79.31 ( 3) 50.85 (20) 51.14 ( 8) 60.86
4 New Hampshire 24 18- 5- 1 77.08 ( 4) 52.20 (12) 51.43 ( 5) 60.79
5 Michigan 28 21- 6- 1 76.79 ( 6) 50.27 (23) 51.80 ( 3) 59.78
6 Miami 27 17- 6- 4 70.37 ( 7) 52.50 (11) 51.73 ( 4) 58.64
7 Yale 21 17- 4- 0 80.95 ( 2) 44.22 (38) 48.07 (40) 57.65
8 Wisconsin 27 18- 8- 1 68.52 ( 8) 50.69 (21) 52.06 ( 2) 57.14
9 Boston College 28 16- 8- 4 64.29 ( 9) 52.97 (10) 51.01 (13) 56.64
10 St Cloud 24 14- 8- 2 62.50 (10) 51.35 (17) 51.25 ( 7) 55.24
11 Ohio State 28 16-10- 2 60.71 (13) 50.52 (22) 51.31 ( 6) 54.21
12 Colgate 23 13- 8- 2 60.87 (12) 51.28 (18) 48.40 (37) 54.20
13 Northern Michigan 27 13-10- 4 55.56 (17) 51.85 (14) 51.01 (12) 53.02
14 Clarkson 22 12- 7- 3 61.36 (11) 48.37 (33) 48.98 (29) 53.01
15 Northeastern 27 15-10- 2 59.26 (14) 49.41 (29) 50.30 (23) 52.99
16 Cornell 20 10- 8- 2 55.00 (18) 51.38 (16) 48.69 (32) 52.24
17 Colorado College 29 15-11- 3 56.90 (16) 48.55 (31) 51.04 (11) 51.85
18 Notre Dame 30 13-13- 4 50.00 (22) 53.32 ( 9) 51.06 (10) 51.82
19 Minnesota-Duluth 28 13-14- 1 48.21 (24) 54.54 ( 5) 50.09 (24) 51.66
20 Maine 24 9-12- 3 43.75 (28) 57.00 ( 1) 51.00 (14) 51.46
21 Princeton 19 9- 6- 4 57.89 (15) 47.64 (34) 47.96 (41) 51.28
22 Lake Superior 27 12-11- 4 51.85 (21) 49.56 (27) 50.81 (18) 50.55
23 Minnesota 28 12-16- 0 42.86 (29) 54.83 ( 2) 50.98 (15) 50.06
24 Providence 27 13-11- 3 53.70 (20) 46.48 (37) 49.49 (26) 49.46
25 Harvard 21 8-11- 2 42.86 (29) 53.38 ( 7) 48.65 (33) 48.98
26 Mass Lowell 25 10-12- 3 46.00 (25) 49.72 (24) 48.53 (35) 48.24
27 Ferris State 28 11-14- 3 44.64 (27) 48.93 (30) 51.14 ( 9) 47.76
28 Rensselaer 23 11- 9- 3 54.35 (19) 42.43 (41) 48.82 (30) 47.56
29 Michigan Tech 26 10-14- 2 42.31 (31) 48.42 (32) 52.08 ( 1) 46.83
30 Denver 26 9-16- 1 36.54 (33) 52.06 (13) 49.41 (27) 46.23
31 Alaska-Fairbanks 27 7-17- 3 31.48 (36) 53.33 ( 8) 50.89 (16) 45.32
32 Brown 20 7-12- 1 37.50 (32) 49.58 (26) 48.62 (34) 45.21
33 Dartmouth 21 9- 9- 3 50.00 (22) 40.56 (44) 48.43 (36) 45.04
34 Mankato State 24 10-12- 2 45.83 (26) 43.12 (39) 49.56 (25) 45.04
35 Merrimack 26 8-17- 1 32.69 (35) 49.66 (25) 49.04 (28) 43.63
36 Alaska-Anchorage 28 6-19- 3 26.79 (37) 51.72 (15) 50.55 (21) 42.82
37 Western Michigan 30 6-23- 1 21.67 (40) 54.78 ( 3) 50.37 (22) 42.53
38 Vermont 24 7-15- 2 33.33 (34) 47.04 (36) 48.74 (31) 42.50
39 St Lawrence 21 4-16- 1 21.43 (41) 53.43 ( 6) 48.30 (38) 41.46
40 Bowling Green 29 5-21- 3 22.41 (38) 49.51 (28) 50.87 (17) 40.23
41 Mass Amherst 23 4-17- 2 21.74 (39) 41.66 (42) 48.07 (39) 35.65
42 Union 22 3-16- 3 20.45 (42) 42.59 (40) 47.21 (42) 35.53
43 Army 14 1-13- 0 7.14 (44) 47.64 (35) 44.94 (43) 33.06
44 Air Force 7 1- 6- 0 14.29 (43) 40.75 (43) 44.57 (44) 32.06
Average 48.88 49.68 49.77 49.41
Standard Deviation 19.07 3.98 1.69 7.49
range 7.14 40.56 44.57
to 82.69 57.00 52.08
This information is freely available for personal use.
Copyright 1998 Charlie Shub.
Republication without permission is prohibited.
This calculation includes only teams eligible for the NCAA tournament.
Since Nebraska-Omaha and Niagara both fit the definition of
an Emerging Program, and the NCAA does not include emerging programs
in their calculations, their games are not included.
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.
Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
based on 542 games played through 02/09/98
Game scores for this calculation provided by www.uscollegehockey.com
index team games win % last 20 being considered rpi won
----- ---- ----- ----- ------- ---------------- --- ---
1 North Dakota 26 82.69 90.00 ( 8- 2- 1) 77.27 62.02 22
2 Boston University 26 76.92 80.00 ( 7- 5- 2) 57.14 61.88 21
3 Michigan State 29 79.31 77.50 (10- 2- 3) 76.67 60.86 20
4 Michigan 28 76.79 82.50 (10- 6- 0) 62.50 59.78 19
5 New Hampshire 24 77.08 72.50 ( 5- 4- 1) 55.00 60.79 17
6 Miami 27 70.37 65.00 ( 8- 5- 4) 58.82 58.64 17
7 Yale 21 80.95 80.00 ( 8- 3- 0) 72.73 57.65 17
8 Wisconsin 27 68.52 62.50 ( 5- 5- 0) 50.00 57.14 15
9 Boston College 28 64.29 60.00 ( 8- 5- 2) 60.00 56.64 13
10 St Cloud 24 62.50 67.50 ( 4- 4- 0) 50.00 55.24 13
11 Ohio State 28 60.71 62.50 ( 8- 8- 1) 50.00 54.21 12
12 Colgate 23 60.87 60.00 ( 7- 5- 2) 57.14 54.20 11
13 Clarkson 22 61.36 62.50 ( 4- 6- 2) 41.67 53.01 10
14 Northern Michigan 27 55.56 55.00 ( 5- 7- 3) 43.33 53.02 9
15 Cornell 20 55.00 55.00 ( 6- 5- 1) 54.17 52.24 8
16 Northeastern 27 59.26 65.00 ( 5- 8- 0) 38.46 52.99 7
17 Colorado College 29 56.90 57.50 ( 0- 8- 1) 5.56 51.85 6
18 Princeton 19 57.89 57.89 ( 4- 5- 2) 45.45 51.28 6
19 Lake Superior 27 51.85 57.50 ( 6- 6- 4) 50.00 50.55 4
20 Notre Dame 30 50.00 47.50 ( 5-11- 2) 33.33 51.82 3
21 Rensselaer 23 54.35 57.50 ( 2- 6- 1) 27.78 47.56 2
22 Providence 27 53.70 47.50 ( 2- 7- 2) 27.27 49.46 1
23 Dartmouth 21 50.00 47.50 ( 2- 6- 0) 25.00 45.04 0
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 20 games
5. Ratings percentage index
The record in the last 20 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.
Since Nebraska-Omaha and Niagara both fit the definition of
an Emerging Program, and the NCAA does not include emerging programs
in their calculations, their games are not included.
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 total
- - - - - - - - - - - - - - - - - - - - - - - -----
1 North Dakota 2 2 1 3 8
2 Boston University 1 1 1 2 1 1 7
3 Michigan State 1 2 1 1 1 1 1 2 10
4 Michigan 1 3 1 1 2 2 10
5 New Hampshire 1 1 1 1 1 5
6 Miami 2 1 1 1 1 2 8
7 Yale 2 1 2 2 1 8
8 Wisconsin 1 1 2 1 5
9 Boston College 1 2 2 1 2 8
10 St Cloud 2 2 4
11 Ohio State 1 1 1 3 1 1 8
12 Colgate 1 1 1 1 1 1 1 7
13 Clarkson 1 1 2 4
14 Northern Michigan 1 2 1 1 5
15 Cornell 1 1 1 2 1 6
16 Northeastern 1 1 1 2 5
17 Colorado College 0
18 Princeton 1 1 1 1 4
19 Lake Superior 1 1 2 1 1 6
20 Notre Dame 1 1 2 1 5
21 Rensselaer 1 1 2
22 Providence 1 1 2
23 Dartmouth 1 1 2
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
- - - - - - - - - - - - - - - - - - - - - - -
1 North Dakota ^ ^ ^ < t < < < < < < < < < < < < < ^ < 15 4
2 Boston University < < ^ < < < < < ^ ^ < < < < < < < < < 16 3
3 Michigan State < ^ < < < < < < < < < < < < < t < < < < ^ 18 2
4 Michigan < ^ < < < < < < < t < < < < < < < < < < < 19 1
5 New Hampshire < ^ ^ t t < < < < ^ ^ < < ^ < < < < < < 13 5
6 Miami ^ < ^ ^ < < < < < < < < < < < < < < < < 17 3
7 Yale t ^ ^ ^ t ^ t < < < < ^ < < t < < ^ < < < 11 6
8 Wisconsin ^ ^ ^ ^ t ^ t < < ^ < < < ^ ^ < < < ^ < ^ < 10 10
9 Boston College ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ t ^ < < ^ < < < < < 8 12
10 St Cloud ^ ^ ^ ^ ^ ^ ^ ^ < < < < ^ ^ ^ ^ < 5 12
11 Ohio State ^ ^ ^ ^ ^ ^ ^ < < < ^ t ^ t ^ ^ < < < ^ < 7 12
12 Colgate ^ ^ ^ t ^ ^ ^ ^ < ^ < ^ t < ^ ^ < t < ^ ^ < 6 13
13 Clarkson ^ < ^ ^ < ^ ^ ^ < ^ t < < < < < < ^ < < < < 13 8
14 Northern Michigan ^ < ^ ^ < ^ < ^ t ^ < t ^ t < ^ < < < < t 9 8
15 Cornell ^ ^ ^ ^ ^ ^ ^ < < ^ t ^ ^ t < ^ ^ ^ < < < < 7 13
16 Northeastern ^ ^ ^ ^ ^ ^ ^ < ^ < < < ^ ^ ^ < < < ^ ^ < < 9 13
17 Colorado College ^ ^ ^ ^ < ^ t ^ ^ < < ^ < < ^ < ^ < ^ ^ 7 12
18 Princeton ^ ^ t ^ ^ ^ ^ ^ < < ^ ^ < ^ ^ ^ t ^ < < 5 13
19 Lake Superior ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ t < ^ < ^ < ^ < ^ < 6 14
20 Notre Dame ^ ^ ^ ^ ^ ^ < < ^ ^ ^ ^ ^ ^ < < t < < < < 8 12
21 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < ^ < ^ ^ < < 5 16
22 Providence < ^ ^ ^ ^ ^ < ^ < < < ^ ^ ^ ^ < ^ < ^ ^ < 8 13
23 Dartmouth ^ ^ < ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ t ^ ^ < ^ ^ ^ ^ ^ 2 19
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 2
1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
- - - - - - - - - - - - - - - - - - - - - - -
1 North Dakota < < < < < < < < < < < < < < < < < < < < < < 22 0
2 Boston University ^ < < < < < < < < < < < < < < < < < < < < < 21 1
3 Michigan State ^ ^ < < < < < < < < < < < < < < < < < < < < 20 2
4 Michigan ^ ^ ^ < < < < < < < < < < < < < < < < < < < 19 3
5 New Hampshire ^ ^ ^ ^ < ^ < < < < < < < < < < < < < < < < 17 5
6 Miami ^ ^ ^ ^ ^ < < < < < < < < < < < < < < < < < 17 5
7 Yale ^ ^ ^ ^ < ^ < < < < < < < < < < < < < < < < 17 5
8 Wisconsin ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < < < < 15 7
9 Boston College ^ ^ ^ ^ ^ ^ ^ ^ < < < ^ < < < < < < < < < < 13 9
10 St Cloud ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < < 13 9
11 Ohio State ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < 12 10
12 Colgate ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < 11 11
13 Clarkson ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ < < < < < < < < < 10 12
14 Northern Michigan ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < ^ < < < < < 9 13
15 Cornell ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < 8 14
16 Northeastern ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < 7 15
17 Colorado College ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < 6 16
18 Princeton ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < < < < < 6 16
19 Lake Superior ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < 4 18
20 Notre Dame ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < 3 19
21 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < 2 20
22 Providence ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < 1 21
23 Dartmouth ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ 0 22
This information is freely available for personal use.
Copyright 1998 Charlie Shub.
Republication without permission is prohibited.
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