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Subject:
From:
Charlie Shub <[log in to unmask]>
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Date:
Mon, 19 Jan 1998 11:50:07 -0700
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Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
        based on 452 games played through 01/18/98
Game scores for this calculation provided by www.uscollegehockey.com
 
index      team          games  win %  last 20 being considered   rpi    won
-----      ----          -----  -----  ------- ----------------   ---    ---
  1   North Dakota        20    82.50   82.50  ( 8- 2- 1) 77.27  63.52    21
  2   Michigan            23    80.43   87.50  ( 7- 4- 0) 63.64  60.22    21
  3   Michigan State      23    82.61   82.50  ( 7- 1- 1) 83.33  59.75    21
  4   New Hampshire       21    78.57   77.50  ( 3- 4- 1) 43.75  62.91    19
  5   Boston University   19    73.68   73.68  ( 6- 4- 2) 58.33  61.80    18
  6   Colgate             18    69.44   69.44  ( 6- 3- 1) 65.00  58.10    17
  7   Boston College      22    65.91   62.50  ( 7- 4- 1) 62.50  58.00    16
  8   Yale                17    76.47   76.47  ( 5- 2- 0) 71.43  56.78    15
  9   Wisconsin           22    70.45   67.50  ( 5- 5- 1) 50.00  57.53    14
 10   Miami               21    71.43   70.00  ( 6- 4- 2) 58.33  56.22    13
 11   St Cloud            22    68.18   75.00  ( 4- 6- 0) 40.00  55.16    12
 12   Northern Michigan   23    56.52   60.00  ( 5- 6- 3) 46.43  55.02    11
 13   Colorado College    23    65.22   62.50  ( 0- 6- 1)  7.14  54.77     9
 14   Providence          21    59.52   62.50  ( 4- 6- 1) 40.91  53.94     9
 15   Northeastern        20    60.00   60.00  ( 5- 5- 0) 50.00  53.11     8
 16   Minnesota-Duluth    24    52.08   52.50  ( 6- 7- 1) 46.43  53.95     7
 17   Princeton           18    66.67   66.67  ( 2- 3- 2) 42.86  52.38     6
 18   Lake Superior       23    56.52   62.50  ( 6- 4- 4) 57.14  52.25     6
 19   Ohio State          22    52.27   57.50  ( 5- 8- 1) 39.29  52.83     4
 20   Notre Dame          24    52.08   52.50  ( 5- 8- 2) 40.00  53.21     3
 21   Cornell             13    53.85   53.85  ( 2- 4- 1) 35.71  52.33     1
 22   Clarkson            16    62.50   62.50  ( 2- 5- 1) 31.25  52.27     1
 23   Rensselaer          18    55.56   55.56  ( 1- 6- 1) 18.75  50.57     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 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.
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   1   3     1         1        8
 2 Michigan                     1     1     1           1 3            7
 3 Michigan State       2             1     1             1 2          7
 4 New Hampshire              1               1                   1    3
 5 Boston University        1     1             1 1             1 1    6
 6 Colgate              1                       1 1   1       1   1    6
 7 Boston College           2 1                 2 1         1          7
 8 Yale                         1                     1       1 1 1    5
 9 Wisconsin                                1       3       1          5
10 Miami                    1               1           1 1 2          6
11 St Cloud           1                       2     1                  4
12 Northern Michigan    1         1     2               1              5
13 Colorado College                                                    0
14 Providence                       1             1 2                  4
15 Northeastern               1   1             2           1          5
16 Minnesota-Duluth   1         1         3                     1      6
17 Princeton                  1                                 1      2
18 Lake Superior                    1   1                 2 1     1    6
19 Ohio State                           1   2           1       1      5
20 Notre Dame             1           1   2               1            5
21 Cornell                                        1   1                2
22 Clarkson                       1                               1    2
23 Rensselaer                                                 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
                      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 ^ < < < < ^ < < < < < < t < t  12  5
 2 Michigan           <   <   t   < < ^ < t < t < < < < < < < < < <  16  1
 3 Michigan State     < ^       < <   < < < < t   ^ <   < < < ^ <    12  3
 4 New Hampshire      <       < < < t t   < ^ < < < < < < < ^ < ^ <  14  3
 5 Boston University    t   ^   ^ < < t ^   ^ < < < < < < < < ^ ^ <  11  6
 6 Colgate            ^   ^ ^ <   < < ^   ^ t   ^ < < < t < < < < ^  10  7
 7 Boston College       ^ ^ ^ ^ ^   < ^ < < t < t ^ < ^ < ^ < ^ ^ <   8 11
 8 Yale               t ^   t ^ ^ ^   t ^   ^ t < < < < < < ^ < ^ <   8  8
 9 Wisconsin          < < ^ t t < < t   < < < t ^ ^ < < < < ^ ^ < t  12  5
10 Miami              ^ ^ ^   <   ^ < ^   < < <   ^   < < < < t < <  11  6
11 St Cloud           ^ t ^ ^   < ^   ^ ^   < < ^ ^ < t ^     < <     6  9
12 Northern Michigan  ^ ^ ^ < < t t < ^ ^ ^   ^ < < ^   < < < t ^ <   9  9
13 Colorado College   ^ t t ^ ^   ^ t t ^ ^ <   ^ t < <     ^ < t <   5  8
14 Providence         < ^   ^ ^ < t ^ <   < ^ <   ^ ^ < <   < t < ^   9  8
15 Northeastern       ^ ^ < ^ ^ ^ < ^ < < < ^ t <   < < < < < t ^ ^  11  9
16 Minnesota-Duluth   ^ ^ ^ ^ ^ ^ ^ ^ ^   ^ < ^ < ^   ^   < ^ <   <   5 14
17 Princeton          ^ ^   ^ ^ ^ < ^ ^ ^ t   ^ ^ ^ <   ^ < t < ^ ^   4 14
18 Lake Superior      ^ ^ ^ ^ ^ t ^ ^ ^ ^ < ^   ^ ^   <   ^ ^ < < <   5 14
19 Ohio State         ^ ^ ^ ^ ^ ^ < ^ ^ ^   ^     ^ ^ ^ <   < ^ t <   4 14
20 Notre Dame         ^ ^ ^ < ^ ^ ^ < < ^   ^ < ^ ^ < t < ^   ^ t <   7 12
21 Cornell            t ^ < ^ < ^ < ^ < t ^ t ^ t t ^ ^ ^ < <   ^ ^   6 11
22 Clarkson           ^ ^ ^ < < ^ < < ^ ^ ^ < t ^ <   < ^ t t <   <   9  9
23 Rensselaer         t ^   ^ ^ < ^ ^ t ^   ^ ^ < < ^ < ^ ^ ^ < ^     5 13
 
 
             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         < ^ < < < < < < < < < < < < < < < < < < < <  21  1
 2 Michigan           ^   < < < < < < < < < < < < < < < < < < < < <  21  1
 3 Michigan State     < ^   < < < < < < < < < < < < < < < < < < < <  21  1
 4 New Hampshire      ^ ^ ^   < < < < < < < < < < < < < < < < < < <  19  3
 5 Boston University  ^ ^ ^ ^   < < < < < < < < < < < < < < < < < <  18  4
 6 Colgate            ^ ^ ^ ^ ^   < < < < < < < < < < < < < < < < <  17  5
 7 Boston College     ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < < < <  16  6
 8 Yale               ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < < <  15  7
 9 Wisconsin          ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < <  14  8
10 Miami              ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < <  13  9
11 St Cloud           ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < <  12 10
12 Northern Michigan  ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < <  11 11
13 Colorado College   ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   ^ < < < < < < < < <   9 13
14 Providence         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ <   < ^ < < < < < < <   9 13
15 Northeastern       ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < <   8 14
16 Minnesota-Duluth   ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   < ^ < < < < <   7 15
17 Princeton          ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < <   6 16
18 Lake Superior      ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   < < < < <   6 16
19 Ohio State         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < <   4 18
20 Notre Dame         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < <   3 19
21 Cornell            ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < ^   1 21
22 Clarkson           ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   <   1 21
23 Rensselaer         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^     1 21
 
 
 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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