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Subject:
From:
Charlie Shub <[log in to unmask]>
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Date:
Fri, 31 Mar 2000 05:59:24 -0700
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Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
        based on 764 games played through
 
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   Wisconsin           40    78.75   81.25  (13- 5- 1) 71.05  60.76    20
  2   Maine               36    73.61   75.00  (11- 5- 3) 65.79  59.28    19
  3   North Dakota        39    73.08   71.88  (10- 6- 4) 60.00  59.56    18
  4   St Lawrence         33    75.76   93.75  ( 8- 5- 2) 60.00  57.89    17
  5   Michigan State      43    72.09   81.25  ( 8- 4- 2) 64.29  56.98    15
  6   New Hampshire       37    70.27   53.12  (11- 6- 2) 63.16  58.39    14
  7   Boston University   39    67.95   71.88  ( 6- 7- 4) 47.06  57.06    14
  8   Boston College      38    69.74   75.00  ( 8- 8- 1) 50.00  57.62    13
  9   Colgate             32    71.88   81.25  (10- 3- 0) 76.92  55.91    13
 10   Michigan            39    71.79   68.75  ( 5- 5- 3) 50.00  56.59    12
 11   St Cloud            37    60.81   62.50  ( 8- 6- 2) 56.25  54.40    10
 12   MSU-Mankato         35    58.57   68.75  ( 4- 7- 2) 38.46  52.16     9
 13   Rensselaer          34    58.82   56.25  ( 5-10- 1) 34.38  52.48     7
 14   Minnesota           41    51.22   50.00  ( 6-16- 2) 29.17  54.16     6
 15   Niagara             17    58.82   62.50  ( 3- 2- 0) 60.00  50.94     6
 16   Ferris State        37    54.05   50.00  ( 8- 9- 0) 47.06  51.67     4
 17   Cornell             32    53.12   59.38  ( 5- 8- 1) 39.29  50.13     4
 18   Northern Michigan   39    61.54   50.00  ( 4- 9- 2) 33.33  50.96     3
 19   Clarkson            32    51.56   68.75  ( 4-12- 1) 26.47  50.58     3
 20   Lake Superior       36    52.78   65.62  ( 8- 7- 0) 53.33  49.41     2
 21   Providence          37    50.00   46.88  ( 5-10- 1) 34.38  50.10     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 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
                      1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 total
                      - - - - - - - - - - - - - - - - - - - - - -----
 1 Wisconsin              2 1 1           3 1   5                 13- 5- 1
 2 Maine                        1 2 2           2             4   11- 5- 3
 3 North Dakota       2                   3 1   2         2       10- 6- 4
 4 St Lawrence                        1       3   1   2   1        8- 5- 2
 5 Michigan State                       1     1 1   2   2   1      8- 4- 2
 6 New Hampshire        2 1 1       2                     1 2 2   11- 6- 2
 7 Boston University    1       1   2                         2    6- 7- 4
 8 Boston College       2       2 1             1             2    8- 8- 1
 9 Colgate                  1                 2   1 1 3   2       10- 3- 0
10 Michigan           1       2                     1       1      5- 5- 3
11 St Cloud           1   1                 2   4                  8- 6- 2
12 MSU-Mankato        1   1                     1         1        4- 7- 2
13 Rensselaer                   1 1   1               1   1        5-10- 1
14 Minnesota              1         1   1   2           1          6-16- 2
15 Niagara                        1           1       1            3- 2- 0
16 Ferris State             1     1   1 1               1 1 2      8- 9- 0
17 Cornell                  1                 1           3        5- 8- 1
18 Northern Michigan                                3       1      4- 9- 2
19 Clarkson                                 1 1         2          4-12- 1
20 Lake Superior              1         2           2   3          8- 7- 0
21 Providence                   1 1 1         1       1            5-10- 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
                      1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
                      - - - - - - - - - - - - - - - - - - - - -
 1 Wisconsin            < <   < < t < < < < < < < < < < < < < <  18  0
 2 Maine              ^   < < < < ^ < < < < < ^ ^ ^ ^ < < < < <  14  6
 3 North Dakota       ^ ^   < < t < < < ^ < < < < < < t < < < <  15  3
 4 St Lawrence          ^ ^   ^ < < < < ^ t < < < < ^ < ^ < ^ <  11  7
 5 Michigan State     ^ ^ ^ <   ^ < < < < ^ ^ t ^ ^ < ^ < < < ^   9 10
 6 New Hampshire      ^ ^ t ^ <   ^ ^ ^ < < < < < < ^ < < < < <  12  7
 7 Boston University  t < ^ ^ ^ <   < < ^ ^ < ^ ^ < ^ < < < < <  11  8
 8 Boston College     ^ ^ ^ ^ ^ < ^   ^ < ^ < ^ < ^ ^ < < < < <   9 11
 9 Colgate            ^ ^ ^ ^ ^ < ^ <   ^ < < < ^ ^ ^ < t < ^ <   8 11
10 Michigan           ^ ^ < < ^ ^ < ^ <   < < ^ < < < < < ^ < <  13  7
11 St Cloud           ^ ^ ^ t < ^ < < ^ ^   ^ < ^ < ^   ^ < ^ ^   6 12
12 MSU-Mankato        ^ ^ ^ ^ < ^ ^ ^ ^ ^ <   t < ^ ^ ^ < < < <   7 12
13 Rensselaer         ^ < ^ ^ t ^ < < ^ < ^ t   < t ^ < < < < <  10  7
14 Minnesota          ^ < ^ ^ < ^ < ^ < ^ < ^ ^   < < ^ < ^ < <  10 10
15 Niagara            ^ < ^ ^ < ^ ^ < < ^ ^ < t ^   ^ < < < < <  10  9
16 Ferris State       ^ < ^ < ^ < < < < ^ < < < ^ <   < ^ < ^ ^  12  8
17 Cornell            ^ ^ t ^ < ^ ^ ^ ^ ^   < ^ < ^ ^   < ^ < <   6 12
18 Northern Michigan  ^ ^ ^ < ^ ^ ^ ^ t ^ < ^ ^ ^ ^ < ^   < < <   6 13
19 Clarkson           ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^ ^ < ^ ^ < ^   t ^   3 16
20 Lake Superior      ^ ^ ^ < ^ ^ ^ ^ < ^ < ^ ^ ^ ^ < ^ ^ t   ^   4 15
21 Providence         ^ ^ ^ ^ < ^ ^ ^ ^ ^ < ^ ^ ^ ^ < ^ ^ < <     5 15
 
 
             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
                      1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
                      - - - - - - - - - - - - - - - - - - - - -
 1 Wisconsin            < < < < < < < < < < < < < < < < < < < <  20  0
 2 Maine              ^   < < < < < < < < < < < < < < < < < < <  19  1
 3 North Dakota       ^ ^   < < < < < < < < < < < < < < < < < <  18  2
 4 St Lawrence        ^ ^ ^   < < < < < < < < < < < < < < < < <  17  3
 5 Michigan State     ^ ^ ^ ^   ^ < < < < < < < < < < < < < < <  15  5
 6 New Hampshire      ^ ^ ^ ^ <   ^ < ^ < < < < < < < < < < < <  14  6
 7 Boston University  ^ ^ ^ ^ ^ <   ^ < < < < < < < < < < < < <  14  6
 8 Boston College     ^ ^ ^ ^ ^ ^ <   ^ < < < < < < < < < < < <  13  7
 9 Colgate            ^ ^ ^ ^ ^ < ^ <   ^ < < < < < < < < < < <  13  7
10 Michigan           ^ ^ ^ ^ ^ ^ ^ ^ <   < < < < < < < < < < <  12  8
11 St Cloud           ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < < <  10 10
12 MSU-Mankato        ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < < < < < < < <   9 11
13 Rensselaer         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < ^ < < < < < <   7 13
14 Minnesota          ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^   < < ^ < < < <   6 14
15 Niagara            ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   ^ < < < < <   6 14
16 Ferris State       ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ <   < ^ < ^ <   4 16
17 Cornell            ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ ^   < ^ < <   4 16
18 Northern Michigan  ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   < ^ <   3 17
19 Clarkson           ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^   < <   3 17
20 Lake Superior      ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ < ^ < ^   ^   2 18
21 Providence         ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ <     1 19
 
 
 This information is freely available for personal use.
 Copyright 2000 Charlie Shub.
 Republication without permission is prohibited.
 
 
 
Estimated NCAA Division 1 Ice Hockey ratings percentage index
        based on 764 games played through
 
Game scores for this calculation provided by www.uscollegehockey.com
Software to perform the calculation developed by Charlie Shub
 
                         Weight     35%         50%         15%
                      G   W  L  T   win% rank   opp% rank  opp-opp     Total
 
 1 Wisconsin         40  31- 8- 1  78.75 ( 1)  50.86 (17)  51.77 ( 5)  60.76
 2 North Dakota      39  26- 8- 5  73.08 ( 4)  52.67 ( 7)  50.99 (13)  59.56
 3 Maine             36  24- 7- 5  73.61 ( 3)  51.44 (11)  51.99 ( 3)  59.28
 4 New Hampshire     37  23- 8- 6  70.27 ( 8)  52.18 ( 9)  51.39 ( 9)  58.39
 5 St Lawrence       33  24- 7- 2  75.76 ( 2)  47.96 (34)  49.27 (29)  57.89
 6 Boston College    38  26-11- 1  69.74 ( 9)  50.80 (18)  52.07 ( 1)  57.62
 7 Boston University 39  23- 9- 7  67.95 (10)  51.10 (13)  51.50 ( 8)  57.06
 8 Michigan State    43  29-10- 4  72.09 ( 5)  48.60 (29)  49.63 (21)  56.98
 9 Michigan          39  26- 9- 4  71.79 ( 7)  47.96 (35)  49.86 (20)  56.59
10 Colgate           32  22- 8- 2  71.88 ( 6)  46.65 (41)  49.54 (25)  55.91
11 St Cloud          37  21-13- 3  60.81 (12)  50.74 (20)  51.64 ( 6)  54.40
12 Minnesota         41  20-19- 2  51.22 (20)  57.24 ( 1)  50.76 (18)  54.16
13 Rensselaer        34  19-13- 2  58.82 (13)  49.22 (26)  48.54 (39)  52.48
14 MSU-Mankato       35  19-13- 3  58.57 (15)  47.78 (36)  51.79 ( 4)  52.16
15 Ferris State      37  19-16- 2  54.05 (16)  50.95 (16)  48.49 (40)  51.67
16 Colorado College  38  17-18- 3  48.68 (22)  53.93 ( 3)  50.92 (14)  51.64
17 Northern Michigan 39  22-13- 4  61.54 (11)  43.77 (44)  50.26 (19)  50.96
18 Niagara           17   9- 6- 2  58.82 (13)  45.84 (42)  49.59 (23)  50.94
19 Clarkson          32  15-14- 3  51.56 (19)  50.56 (21)  48.35 (42)  50.58
20 Cornell           32  16-14- 2  53.12 (17)  48.42 (30)  48.83 (38)  50.13
21 Providence        37  18-18- 1  50.00 (21)  49.74 (24)  51.52 ( 7)  50.10
22 Lake Superior     36  18-16- 2  52.78 (18)  47.05 (40)  49.45 (27)  49.41
23 Northeastern      36  12-19- 5  40.28 (28)  53.32 ( 5)  51.16 (10)  48.43
24 Nebraska-Omaha    45  16-22- 7  43.33 (26)  51.10 (14)  48.40 (41)  47.97
25 Merrimack         35  10-19- 6  37.14 (35)  54.48 ( 2)  50.76 (17)  47.85
26 Alaska-Anchorage  36  15-18- 3  45.83 (24)  48.27 (31)  50.77 (16)  47.79
27 Notre Dame        42  16-18- 8  47.62 (23)  47.18 (39)  49.49 (26)  47.68
28 Bowling Green     35  15-19- 1  44.29 (25)  48.97 (27)  49.21 (30)  47.37
29 Miami             36  13-20- 3  40.28 (28)  51.24 (12)  49.15 (32)  47.09
30 Denver            39  14-23- 2  38.46 (31)  50.20 (22)  51.08 (11)  46.22
31 Ohio State        34  11-19- 4  38.24 (32)  50.76 (19)  48.95 (33)  46.11
32 Mass Amherst      34   9-20- 5  33.82 (39)  52.87 ( 6)  50.86 (15)  45.90
33 Western Michigan  36  12-21- 3  37.50 (34)  51.05 (15)  48.21 (44)  45.88
34 Minnesota-Duluth  35  13-22- 0  37.14 (35)  50.09 (23)  52.05 ( 2)  45.85
35 Harvard           30  11-17- 2  40.00 (30)  48.19 (32)  49.44 (28)  45.51
36 Vermont           17   5- 9- 3  38.24 (32)  49.32 (25)  49.59 (22)  45.48
37 Yale              27   7-15- 5  35.19 (38)  51.80 (10)  48.32 (43)  45.46
38 Princeton         28  10-14- 4  42.86 (27)  45.78 (43)  48.90 (35)  45.23
39 Dartmouth         30   9-17- 4  36.67 (37)  47.66 (37)  49.16 (31)  44.04
40 Mass Lowell       32   7-22- 3  26.56 (41)  53.36 ( 4)  51.02 (12)  43.63
41 Brown             28   6-19- 3  26.79 (40)  48.08 (33)  48.86 (37)  40.74
42 Union             32   7-24- 1  23.44 (42)  47.45 (38)  48.93 (34)  39.27
43 Alaska-Fairbanks  32   5-25- 2  18.75 (43)  48.65 (28)  48.88 (36)  38.22
44 Michigan Tech     38   4-34- 0  10.53 (44)  52.63 ( 8)  49.59 (24)  37.44
 
                   Average         49.27       49.95       50.02       49.72
          Standard Deviation       16.49        2.60        1.20        5.81
                   range           10.53       43.77       48.21
                    to             78.75       57.24       52.07
 
 
 This information is freely available for personal use.
 Copyright 2000 Charlie Shub.
 Republication without permission is prohibited.
 
The total is calculated by the Rating Percentage Index method,
used as a tool by the NCAA in selecting teams for national
collegiate tournaments in several sports.  Ratings are derived
by summing each team's winning percentage, the average winning
percentage of its opponents, and the average winning percentage
of its opponents' opponents, multiplied by the given weights.
Factors such as importance of game, margin of victory, or home
ice are not included in the calculations.
 
 
         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
 
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