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Date: | Tue, 25 Jan 2000 09:04:53 -0700 |
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now that USCHO has made its pair wise rankings available, I'll start
posting my version of the same calculations. The only difference
between the USCHO results and my results is how the information is displayed.
This message features three matrices that provide a compact view of
a) all head to head comparisons
b) all record against common opponent comparisons
c) all individual overall comparisons.
in addition to the summary data.
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
Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
based on 561 games played through 01/24/2000
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 New Hampshire 24 81.25 84.38 ( 6- 3- 3) 62.50 62.93 28
2 Wisconsin 26 75.00 65.62 (13- 5- 1) 71.05 61.61 27
3 Maine 23 73.91 65.62 ( 9- 4- 2) 66.67 60.93 25
4 Michigan 25 76.00 68.75 ( 7- 2- 0) 77.78 57.79 25
5 North Dakota 24 70.83 59.38 (10- 5- 2) 64.71 60.58 24
6 Niagara 17 67.65 71.88 ( 7- 3- 0) 70.00 56.72 24
7 Boston University 25 66.00 65.62 ( 6- 4- 5) 56.67 58.31 21
8 Quinnipiac 18 77.78 87.50 ( 5- 3- 2) 60.00 56.44 20
9 Northeastern 23 56.52 59.38 ( 4- 6- 4) 42.86 56.63 18
10 Michigan State 24 68.75 59.38 ( 5- 5- 1) 50.00 55.95 17
11 Ferris State 24 56.25 65.62 ( 5- 7- 1) 42.31 54.62 17
12 Minnesota 24 50.00 59.38 ( 6-11- 2) 36.84 55.99 16
13 Boston College 22 65.91 59.38 ( 4- 6- 1) 40.91 55.61 15
14 Colgate 18 66.67 68.75 ( 5- 4- 0) 55.56 55.06 15
15 St Lawrence 19 63.16 56.25 ( 4- 4- 1) 50.00 55.73 14
16 St Cloud 20 57.50 59.38 ( 6- 5- 1) 54.17 52.76 13
17 Northern Michigan 24 70.83 71.88 ( 3- 2- 0) 60.00 52.22 13
18 Yale 17 55.88 59.38 ( 2- 5- 2) 33.33 53.21 12
19 Providence 24 52.08 65.62 ( 6- 6- 0) 50.00 51.77 12
20 Rensselaer 22 63.64 50.00 ( 3- 5- 1) 38.89 54.15 10
21 Miami 22 52.27 43.75 ( 6- 6- 1) 50.00 52.99 7
22 Sacred Heart 17 52.94 56.25 ( 5- 4- 0) 55.56 47.62 7
23 Colorado College 25 54.00 46.88 ( 4- 9- 1) 32.14 53.01 6
24 Alaska-Anchorage 22 52.27 53.12 ( 5- 8- 1) 39.29 49.63 5
25 Princeton 15 50.00 50.00 ( 2- 3- 1) 41.67 49.29 5
26 Air Force 14 53.57 53.57 ( 3- 5- 1) 38.89 47.93 5
27 MSU-Mankato 20 52.50 46.88 ( 4- 7- 1) 37.50 50.55 4
28 Canisius 15 50.00 50.00 ( 2- 6- 0) 25.00 47.84 1
29 Iona 19 50.00 50.00 ( 1- 5- 3) 27.78 47.37 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 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 2 2 2 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 4 5 6 7 8 9 total
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -----
1 New Hampshire 1 1 1 1 2 6
2 Wisconsin 2 2 1 2 1 1 2 1 1 13
3 Maine 1 1 1 2 1 1 1 1 9
4 Michigan 1 1 1 4 7
5 North Dakota 1 2 2 1 1 2 1 10
6 Niagara 1 1 1 1 3 7
7 Boston University 1 1 1 1 1 1 6
8 Quinnipiac 1 3 1 5
9 Northeastern 2 1 1 4
10 Michigan State 1 2 1 1 5
11 Ferris State 1 1 1 1 1 5
12 Minnesota 1 1 1 1 1 1 6
13 Boston College 1 1 1 1 4
14 Colgate 1 1 1 1 1 5
15 St Lawrence 1 1 1 1 4
16 St Cloud 1 1 2 2 6
17 Northern Michigan 3 3
18 Yale 1 1 2
19 Providence 2 1 1 1 1 6
20 Rensselaer 1 1 1 3
21 Miami 2 1 2 1 6
22 Sacred Heart 2 3 5
23 Colorado College 1 1 1 1 4
24 Alaska-Anchorage 1 1 1 2 5
25 Princeton 1 1 2
26 Air Force 1 2 3
27 MSU-Mankato 1 1 1 1 4
28 Canisius 1 1 2
29 Iona 1 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 2 2 2 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 4 5 6 7 8 9
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
1 New Hampshire ^ < < t < < < < ^ < < < ^ ^ < < < < < < < < < < < < 21 4
2 Wisconsin < < < ^ < < ^ < < < < < < < < < < < < < < < 20 2
3 Maine ^ ^ < < ^ ^ t < < ^ < < < < < < ^ < ^ < < < < < < < < < 20 7
4 Michigan ^ ^ ^ < < < < < < ^ < < < ^ < < < < t < < < 16 5
5 North Dakota t < ^ ^ < < < < < < < < < < < ^ < ^ t < < < < 17 4
6 Niagara ^ ^ < ^ < < < < ^ ^ < ^ ^ ^ < < ^ < < < < < < < < 16 9
7 Boston University ^ ^ < ^ ^ ^ < < ^ ^ < < ^ ^ ^ ^ < < < ^ < ^ ^ < < < < < 14 14
8 Quinnipiac ^ t ^ ^ ^ ^ ^ ^ t ^ < < ^ < < < 5 9
9 Northeastern ^ < ^ ^ ^ ^ ^ < ^ ^ < t < < < ^ < < ^ ^ < ^ t < ^ < 11 13
10 Michigan State < ^ ^ ^ ^ ^ < < < ^ ^ < < < ^ < < ^ t < < < ^ ^ 12 11
11 Ferris State ^ ^ < ^ ^ < < < < ^ < t < < < < < < ^ ^ < < < < 16 7
12 Minnesota ^ ^ ^ ^ ^ < ^ ^ < < ^ t ^ < < t t ^ ^ < t ^ 6 12
13 Boston College ^ ^ ^ < ^ ^ ^ t ^ ^ < < < ^ < ^ < ^ ^ < < < < < 11 12
14 Colgate < ^ ^ ^ ^ < < < ^ ^ t t ^ ^ ^ < < < ^ t t < < < < 11 10
15 St Lawrence < ^ ^ ^ < < < ^ ^ ^ < ^ < ^ ^ ^ < ^ ^ ^ ^ < < < 10 14
16 St Cloud ^ ^ ^ ^ ^ < < ^ < ^ ^ < < < t ^ < ^ < < ^ 9 11
17 Northern Michigan ^ ^ ^ < ^ < < ^ ^ ^ < < ^ ^ < ^ < ^ < ^ ^ 8 13
18 Yale ^ ^ < < ^ ^ t ^ ^ ^ ^ < ^ < t < < < < < < < < t < < 14 9
19 Providence ^ ^ ^ ^ ^ ^ ^ < ^ < ^ t ^ ^ ^ < ^ ^ ^ < ^ ^ t < ^ < 6 18
20 Rensselaer ^ ^ < ^ < < ^ ^ < t ^ t < ^ < ^ < ^ < ^ < ^ t < < < < < 14 11
21 Miami ^ ^ ^ ^ t < < ^ < < < < < ^ ^ < t < ^ < 10 8
22 Sacred Heart ^ ^ ^ ^ t ^ < ^ < ^ ^ 2 8
23 Colorado College ^ ^ ^ ^ ^ ^ < ^ ^ < < ^ < < < ^ < < t < ^ ^ 9 12
24 Alaska-Anchorage ^ ^ ^ t ^ ^ < < < ^ ^ ^ ^ t < ^ ^ ^ t t ^ ^ < < ^ 6 15
25 Princeton ^ ^ ^ ^ ^ ^ ^ t < ^ t ^ ^ ^ ^ < ^ ^ ^ < < ^ < t 5 16
26 Air Force ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < 2 16
27 MSU-Mankato ^ ^ ^ ^ ^ ^ ^ < < ^ < ^ ^ ^ < < t < ^ ^ < < t 8 13
28 Canisius ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ 1 10
29 Iona ^ ^ ^ ^ ^ ^ ^ ^ < ^ < 2 9
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 2 2 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 4 5 6 7 8 9
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
1 New Hampshire < < < < < < < < < < < < < < < < < < < < < < < < < < < < 28 0
2 Wisconsin ^ < < < < < < < < < < < < < < < < < < < < < < < < < < < 27 1
3 Maine ^ ^ < < ^ < < < < < < < < < < < < < < < < < < < < < < < 25 3
4 Michigan ^ ^ ^ < < < < < < < < < < < < < < < < < < < < < < < < < 25 3
5 North Dakota ^ ^ ^ ^ < < < < < < < < < < < < < < < < < < < < < < < < 24 4
6 Niagara ^ ^ < ^ ^ < < < < < < < < < < < < < < < < < < < < < < < 24 4
7 Boston University ^ ^ ^ ^ ^ ^ < < < < < < < < < ^ < < < < < < < < < < < < 21 7
8 Quinnipiac ^ ^ ^ ^ ^ ^ ^ ^ < < < < < < < < < < < < < < < < < < < < 20 8
9 Northeastern ^ ^ ^ ^ ^ ^ ^ < ^ ^ < < < < < ^ < < < < < < < < < < < < 18 10
10 Michigan State ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < < < ^ < < ^ < < < < < < < < < < 17 11
11 Ferris State ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < ^ < < < < < < < < < < < < < < < 17 11
12 Minnesota ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ < < < < ^ < < < < < < < < < < 16 12
13 Boston College ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ < < < < < < < < < < < < < 15 13
14 Colgate ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ < ^ < < < < < < < < < < < < 15 13
15 St Lawrence ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ < < < < < < < < < < < < 14 14
16 St Cloud ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ < ^ < < ^ < < ^ < ^ < < < < < < 13 15
17 Northern Michigan ^ ^ ^ ^ ^ ^ < ^ < ^ ^ ^ ^ < < ^ ^ < ^ < < ^ < < < < < < 13 15
18 Yale ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < ^ < < < < < < < < < 12 16
19 Providence ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < ^ ^ ^ ^ ^ ^ < < < < < < < < < < 12 16
20 Rensselaer ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ < < < ^ < < < < < 10 18
21 Miami ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ ^ ^ < < < < < < 7 21
22 Sacred Heart ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < < < ^ < < < 7 21
23 Colorado College ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ ^ < ^ < ^ ^ ^ < < 6 22
24 Alaska-Anchorage ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < < ^ < < 5 23
25 Princeton ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < < < < 5 23
26 Air Force ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ < < < 5 23
27 MSU-Mankato ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < < ^ ^ < < 4 24
28 Canisius ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < 1 27
29 Iona ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ 0 28
This information is freely available for personal use.
Copyright 2000 Charlie Shub.
Republication without permission is prohibited.
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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