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Subject:
From:
Charlie Shub <[log in to unmask]>
Reply To:
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.
 
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