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From:
Charlie Shub <[log in to unmask]>
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Date:
Thu, 19 Mar 1998 22:48:07 -0700
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Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
        based on 744 games played through 03/19/98
Game scores for this calculation provided by www.uscollegehockey.com
The only non-transitivity in the top 12 is that wisconsin beats new hampshire
 
index      team          games  win %  last 20 being considered   rpi    won
-----      ----          -----  -----  ------- ----------------   ---    ---
  1   North Dakota        36    81.94   85.00  (10- 5- 1) 65.62  61.96    19
  2   Michigan State      38    81.58   82.50  ( 9- 2- 3) 75.00  61.55    18
  3   Boston University   36    77.78   80.00  (12- 5- 2) 68.42  59.52    17
  4   Michigan            39    73.08   70.00  ( 7- 7- 0) 50.00  58.73    16
  5   Clarkson            31    72.58   82.50  ( 4- 6- 1) 40.91  57.32    15
  6   Boston College      36    70.83   75.00  ( 9- 6- 3) 58.33  57.82    14
  7   Ohio State          36    66.67   77.50  ( 7- 6- 1) 53.57  56.20    13
  8   New Hampshire       34    66.18   57.50  (11-10- 1) 52.27  55.99    11
  9   Yale                32    76.56   77.50  ( 6- 1- 0) 85.71  55.66    11
 10   Colorado College    38    67.11   67.50  ( 3- 9- 2) 28.57  54.98    10
 11   Wisconsin           36    62.50   62.50  ( 8- 6- 1) 56.67  54.66    10
 12   St Cloud            36    58.33   50.00  ( 7- 8- 0) 46.67  54.21     8
 13   Northern Michigan   36    55.56   52.50  ( 7- 8- 1) 46.88  52.91     6
 14   Maine               31    51.61   47.50  ( 7- 9- 3) 44.74  52.42     6
 15   Minnesota-Duluth    38    52.63   60.00  ( 7- 8- 1) 46.88  51.66     5
 16   Northeastern        37    55.41   47.50  ( 7-11- 2) 40.00  51.99     4
 17   Miami               36    55.56   35.00  ( 5- 8- 2) 40.00  51.74     3
 18   Mass Lowell         35    50.00   55.00  ( 6-13- 2) 33.33  50.80     2
 19   Rensselaer          34    55.88   60.00  ( 3- 5- 1) 38.89  49.97     2
 20   Princeton           31    56.45   55.00  ( 2- 4- 1) 35.71  50.07     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
                      1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 total
                      - - - - - - - - - - - - - - - - - - - - -----
 1 North Dakota                         3 3 2     2             10
 2 Michigan State           4     2       1   1       1          9
 3 Boston University          1 1   1           3   3   2 1     12
 4 Michigan                       3       1   2       1          7
 5 Clarkson                     1     1                   1 1    4
 6 Boston College         1         2           1   2   3        9
 7 Ohio State           1     1               3       2          7
 8 New Hampshire          1     1       1       3   1   3 1     11
 9 Yale                       1                         1 2 2    6
10 Colorado College                         2     1              3
11 Wisconsin          1                 2   1 1   3              8
12 St Cloud           2                 2 1       2              7
13 Northern Michigan    1   1   1                     4          7
14 Maine                        1   3               1   2        7
15 Minnesota-Duluth   2       1         1   3                    7
16 Northeastern           1     1   2           2       1        7
17 Miami                    2     1 1         1                  5
18 Mass Lowell            1         1               4            6
19 Rensselaer                 1                         1   1    3
20 Princeton              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
                      1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0
                      - - - - - - - - - - - - - - - - - - - -
 1 North Dakota         ^   < <   < ^ t < < < < < < < <   < <  13  2
 2 Michigan State     <     ^ < ^ < < < < < < < < < ^ <   <    13  3
 3 Boston University        t ^ < < < < < t   ^ < < < ^ < < <  11  3
 4 Michigan           ^ < t   < < ^ < < < < < < < < < < ^ < <  15  3
 5 Clarkson           ^ ^ < ^   < t < < t ^ ^ < < ^ < < < < <  11  6
 6 Boston College       < ^ ^ ^   ^ < < < ^ < < < < < < < < <  13  5
 7 Ohio State         ^ ^ ^ < t <   ^ <   < < t ^ ^ ^ < ^ < ^   7  9
 8 New Hampshire      < ^ ^ ^ ^ ^ <   < ^ t < ^ < < <   < < <  10  7
 9 Yale               t ^ ^ ^ ^ ^ ^ ^   ^ t   ^ ^ < < ^ < < <   5 11
10 Colorado College   ^ ^ ^ ^ t ^   < <   < < < < < < ^ < < <  11  6
11 Wisconsin          ^ ^ t ^ < < ^ t t ^   < < t < ^ <   t <   7  6
12 St Cloud           ^ ^   ^ < ^ ^ ^   ^ ^   < t < ^ ^         3 10
13 Northern Michigan  ^ ^ < ^ ^ ^ t < < ^ ^ ^   < ^ ^ ^ < <     6 11
14 Maine              ^ ^ ^ ^ ^ ^ < ^ < ^ t t ^   < ^ ^ ^ < ^   4 13
15 Minnesota-Duluth   ^ ^ ^ ^ < ^ < ^ ^ ^ ^ ^ < ^   ^ t ^ < t   4 13
16 Northeastern       ^ < ^ ^ ^ ^ < ^ ^ ^ < < < < <   < < ^ ^   9 10
17 Miami              ^ ^ < ^ ^ ^ ^   < < ^ < < < t ^   < < <   9  8
18 Mass Lowell            ^ < ^ ^ < ^ ^ ^     ^ < < ^ ^   ^ <   5 10
19 Rensselaer         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ t   ^ ^ ^ < ^ <   <   3 14
20 Princeton          ^   ^ ^ ^ ^ < ^ ^ ^ ^     < t < ^ ^ ^     3 12
 
 
             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
                      1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0
                      - - - - - - - - - - - - - - - - - - - -
 1 North Dakota         < < < < < < < < < < < < < < < < < < <  19  0
 2 Michigan State     ^   < < < < < < < < < < < < < < < < < <  18  1
 3 Boston University  ^ ^   < < < < < < < < < < < < < < < < <  17  2
 4 Michigan           ^ ^ ^   < < < < < < < < < < < < < < < <  16  3
 5 Clarkson           ^ ^ ^ ^   < < < < < < < < < < < < < < <  15  4
 6 Boston College     ^ ^ ^ ^ ^   < < < < < < < < < < < < < <  14  5
 7 Ohio State         ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < <  13  6
 8 New Hampshire      ^ ^ ^ ^ ^ ^ ^   < < ^ < < < < < < < < <  11  8
 9 Yale               ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < <  11  8
10 Colorado College   ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < <  10  9
11 Wisconsin          ^ ^ ^ ^ ^ ^ ^ < ^ ^   < < < < < < < < <  10  9
12 St Cloud           ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < <   8 11
13 Northern Michigan  ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < ^ < < < < <   6 13
14 Maine              ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < <   6 13
15 Minnesota-Duluth   ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   ^ < < < <   5 14
16 Northeastern       ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ <   < ^ < <   4 15
17 Miami              ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < <   3 16
18 Mass Lowell        ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   ^ <   2 17
19 Rensselaer         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ <   <   2 17
20 Princeton          ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^     0 19
 
 
 This information is freely available for personal use.
 Copyright 1998 Charlie Shub.
 Republication without permission is prohibited.
 
 
 
 
         charlie shub   University of Colorado at Colorado Springs
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(719) 262-3492      (fax) 262-3369          http://www.cs.uccs.edu/~cdash
 
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