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From:
Charlie Shub <[log in to unmask]>
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Date:
Mon, 5 Jan 1998 10:53:28 -0700
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Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
        based on 381 games played through 01/04/98
Game scores for this calculation provided by www.uscollegehockey.com
 
index      team          games  win %  last 20 being considered   rpi    won
-----      ----          -----  -----  ------- ----------------   ---    ---
  1   Michigan State      19    81.58   81.58  ( 6- 1- 0) 85.71  58.87    24
  2   Boston University   15    80.00   80.00  ( 5- 2- 2) 66.67  62.38    23
  3   New Hampshire       19    76.32   76.32  ( 7- 4- 1) 62.50  62.95    21
  4   North Dakota        16    78.12   78.12  ( 6- 2- 1) 72.22  60.93    21
  5   Michigan            20    77.50   77.50  ( 4- 4- 0) 50.00  60.20    20
  6   Miami               17    79.41   79.41  ( 4- 2- 1) 64.29  58.15    19
  7   Yale                14    78.57   78.57  ( 5- 2- 0) 71.43  57.71    19
  8   St Cloud            18    72.22   72.22  ( 6- 4- 0) 60.00  57.82    17
  9   Providence          17    67.65   67.65  ( 6- 4- 1) 59.09  55.80    16
 10   Colgate             15    66.67   66.67  ( 5- 4- 0) 55.56  57.30    15
 11   Wisconsin           18    66.67   66.67  ( 6- 5- 0) 54.55  56.49    14
 12   Boston College      18    61.11   61.11  ( 5- 5- 1) 50.00  55.03    13
 13   Colorado College    18    66.67   66.67  ( 2- 4- 2) 37.50  54.67    11
 14   Northern Michigan   19    55.26   55.26  ( 4- 4- 3) 50.00  53.75    10
 15   Princeton           16    68.75   68.75  ( 2- 3- 2) 42.86  53.71    10
 16   Maine               16    50.00   50.00  ( 4- 5- 2) 45.45  53.44     9
 17   Northeastern        17    64.71   64.71  ( 4- 5- 1) 45.00  53.28     8
 18   Lake Superior       19    60.53   60.53  ( 4- 2- 3) 61.11  53.01     8
 19   Notre Dame          21    50.00   47.50  ( 4- 8- 2) 35.71  54.79     6
 20   Cornell             11    59.09   59.09  ( 2- 3- 0) 40.00  52.53     6
 21   Minnesota-Duluth    20    50.00   50.00  ( 5- 7- 0) 41.67  51.58     4
 22   Rensselaer          15    50.00   50.00  ( 2- 6- 1) 27.78  50.85     3
 23   Clarkson            14    57.14   57.14  ( 2- 4- 0) 33.33  49.83     2
 24   Mass Lowell         18    50.00   50.00  ( 3- 7- 2) 33.33  50.77     1
 25   Michigan Tech       20    50.00   50.00  ( 2- 8- 1) 22.73  47.61     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.
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
                      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 total
                      - - - - - - - - - - - - - - - - - - - - - - - - - -----
 1 Michigan State             2           1               2           1    6
 2 Boston University      1                 1       1           1 1        5
 3 New Hampshire        1                     1     1           1   3      7
 4 North Dakota                     1     2   1             1 1            6
 5 Michigan                             1 1     1       1                  4
 6 Miami                  1                     1         2                4
 7 Yale                                 1         1         1   1 1        5
 8 St Cloud                 1                 2               1       2    6
 9 Providence                     1                 2         2     1      6
10 Colgate                    1       1           1   1         1          5
11 Wisconsin                                    1         1   2       2    6
12 Boston College         2                         1 1   1                5
13 Colorado College                                                   2    2
14 Northern Michigan          1 1           1           1                  4
15 Princeton            1                                         1        2
16 Maine                              1     1                       2      4
17 Northeastern                       2     1             1                4
18 Lake Superior                1 1                       1     1          4
19 Notre Dame         1             2     1                                4
20 Cornell                                        1   1                    2
21 Minnesota-Duluth         1       1   1                         1   1    5
22 Rensselaer                                               1       1      2
23 Clarkson                                 1                   1          2
24 Mass Lowell                          1             2                    3
25 Michigan Tech                                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 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
                      - - - - - - - - - - - - - - - - - - - - - - - - -
 1 Michigan State           < ^ ^   <   < < ^ t <   < ^ < < ^ <   <   <  11  5
 2 Boston University      <   t ^ t   ^ t t < < ^ < < < < < < t < ^ < t  11  4
 3 New Hampshire        ^   <     t < < < t < < ^ ^ < < ^ ^ < < < ^ < <  13  6
 4 North Dakota       ^   ^   ^ t t ^ ^ < ^   < < < < < < < t < t <   <  11  6
 5 Michigan           < t   <   < < t <   ^ < t < < < < < < t < < < ^ <  16  2
 6 Miami              < <   t ^   < <     ^ < < < < < ^ < < t   < < < <  15  3
 7 Yale                 t t t ^ ^     < ^ t < t ^ < < < t ^ < < < < < t  10  5
 8 St Cloud           ^   ^ < t ^     ^ < ^ ^ < <   < ^ ^   < <   <   <   9  8
 9 Providence           < ^ < ^   ^ <   < t ^ <   < < < <   ^ ^ ^ < ^ <  11  8
10 Colgate            ^ t ^ ^     < ^ ^   ^ ^   t < < ^ t < < < ^ < < ^   8 10
11 Wisconsin          ^ t t < < < t < t <   < ^ < < t ^ < ^ ^ <   <   <  12  5
12 Boston College     < ^ ^   ^ ^ ^ < < < ^   < t ^ < ^ < < ^ ^ < ^ < ^  10 12
13 Colorado College   t ^ ^ ^ t ^ t ^ ^   < ^   < < < t   ^ < < < t < <   9  8
14 Northern Michigan  ^ < < ^ ^ ^ < ^   t ^ t ^     < < ^ < t ^ < ^       7 10
15 Princeton            ^ < ^ ^ ^ ^   ^ ^ ^ < ^     < ^ ^ t < < < t ^ ^   6 13
16 Maine              ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ t ^ ^ ^ ^   ^ < < < < < ^ < <   7 16
17 Northeastern       < ^ ^ ^ ^ < ^ < ^ < < < t ^ < <   < < t < ^ ^ ^    11 10
18 Lake Superior      ^ ^ < ^ ^ ^ t < ^ t ^ ^   < < ^ ^   < <   < < < ^   9 11
19 Notre Dame         ^ ^ < ^ ^ ^ <     ^ < ^ < ^ t ^ ^ ^   ^ < < t ^ <   7 13
20 Cornell            < ^ ^ t t t ^ ^ < ^ < < ^ t ^ ^ t ^ <   ^ ^ ^ ^     5 13
21 Minnesota-Duluth   ^ t ^ ^ ^   ^ ^ < ^ ^ < ^ < ^ ^ ^   ^ <   <   ^ <   6 14
22 Rensselaer           ^ ^ t ^ ^ ^   < <   ^ ^ ^ ^ ^ < ^ ^ < ^   t < ^   5 14
23 Clarkson           ^ < < ^ ^ ^ ^ ^ ^ ^ ^ < t < t < < ^ t <   t   < ^   8 11
24 Mass Lowell          ^ ^   < ^ ^   < ^   ^ ^   < ^ < ^ < < < ^ ^       7 11
25 Michigan Tech      ^ t ^ ^ ^ ^ t ^ ^ < ^ < ^   < ^   < ^   ^ < <       6 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 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
                      - - - - - - - - - - - - - - - - - - - - - - - - -
 1 Michigan State       < < < < < < < < < < < < < < < < < < < < < < < <  24  0
 2 Boston University  ^   < < < < < < < < < < < < < < < < < < < < < < <  23  1
 3 New Hampshire      ^ ^   < < < ^ < < < < < < < < < < < < < < < < < <  21  3
 4 North Dakota       ^ ^ ^   < < < < < < < < < < < < < < < < < < < < <  21  3
 5 Michigan           ^ ^ ^ ^   < < < < < < < < < < < < < < < < < < < <  20  4
 6 Miami              ^ ^ ^ ^ ^   < < < < < < < < < < < < < < < < < < <  19  5
 7 Yale               ^ ^ < ^ ^ ^   < < < < < < < < < < < < < < < < < <  19  5
 8 St Cloud           ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < < < < <  17  7
 9 Providence         ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < < < <  16  8
10 Colgate            ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < < <  15  9
11 Wisconsin          ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < < <  14 10
12 Boston College     ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < < < < <  13 11
13 Colorado College   ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < ^ < < < < < <  11 13
14 Northern Michigan  ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < ^ < < < < < < <  10 14
15 Princeton          ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < <  10 14
16 Maine              ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < <   9 15
17 Northeastern       ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < <   8 16
18 Lake Superior      ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^   < < < < < < <   8 16
19 Notre Dame         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ ^ ^   ^ < < < < <   6 18
20 Cornell            ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ <   < < < < <   6 18
21 Minnesota-Duluth   ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < <   4 20
22 Rensselaer         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < <   3 21
23 Clarkson           ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < <   2 22
24 Mass Lowell        ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   <   1 23
25 Michigan Tech      ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^     0 24
 
 
 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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