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Subject:
From:
Charlie Shub <[log in to unmask]>
Reply To:
Date:
Mon, 24 Mar 2003 09:02:11 -0700
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If one goes through the PWR and RPI calculations for the 16 tournament
teams one can note the resusts are extremely different that the
overall calculations.

At ann Arbor, we have   1-10  and   4-9
At Minneapolis, we have 3-15  and   5-12
At Worcester, we have   2-7   and  13-16
At Providence, we have  8-6   and  11-14

which regional is the hardest - ann arbor (4 top 10 teams)

Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS

        based on  94 games played through 03/23/03
Game scores for this calculation provided by www.uscho.com
Software to perform the calculation developed by Charlie Shub

index      team          games  win % rank   being considered   rpi  rank   won
-----      ----          -----  ----- ----   ----------------   ---  ----   ---
  1   Colorado College    17    61.76 ( 3 )  ( 9- 5- 3) 61.76  53.61 ( 2 )  15
  2   New Hampshire       12    58.33 ( 4 )  ( 6- 4- 2) 58.33  53.89 ( 1 )  13
  3   Minnesota           21    52.38 ( 7 )  ( 8- 7- 6) 52.38  52.22 ( 3 )  12
  4   Maine               14    67.86 ( 2 )  ( 9- 4- 1) 67.86  52.06 ( 4 )  12
  5   North Dakota        15    50.00 ( 8t)  ( 6- 6- 3) 50.00  51.41 ( 5 )  11
  6   MSU-Mankato         17    47.06 (10t)  ( 6- 7- 4) 47.06  51.01 ( 6 )   9
  7   St. Cloud State     16    46.88 (12 )  ( 6- 7- 3) 46.88  49.71 ( 7 )   8
  8   Cornell              8    75.00 ( 1 )  ( 6- 2- 0) 75.00  46.81 (12 )   8
  9   Michigan             9    55.56 ( 5t)  ( 4- 3- 2) 55.56  48.24 (10 )   7
 10   Wayne State          2    50.00 ( 8t)  ( 1- 1- 0) 50.00  49.67 ( 8 )   7
 11   Boston College      13    42.31 (13 )  ( 4- 6- 3) 42.31  48.66 ( 9 )   6
 12   Ferris State         9    55.56 ( 5t)  ( 5- 4- 0) 55.56  43.99 (14 )   5
 13   Boston University   17    47.06 (10t)  ( 8- 9- 0) 47.06  48.10 (11 )   4
 14   Ohio State           8    25.00 (14 )  ( 1- 5- 2) 25.00  44.43 (13 )   2
 15   Mercyhurst           3     0.00 (16 )  ( 0- 3- 0)  0.00  42.33 (15 )   1
 16   Harvard              7     7.14 (15 )  ( 0- 6- 1)  7.14  38.16 (16 )   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. Ratings percentage index

The record against teams
under consideration, the ratings percentage index, and
the number of pairwise comparisons won are listed above.

The Ratings percentage index is used as a tiebreaker.


Estimated NCAA Division 1 Ice Hockey ratings percentage index
        based on  94 games played through 03/23/03
Game scores for this calculation provided by www.uscho.com
Software to perform the calculation developed by Charlie Shub

                        Weight     25%          50%          25%
                     G   W  L  T   win% rank    opp% rank    opp-opp     Total

 1 New Hampshire    12   6- 4- 2  58.33 ( 4 )  54.14 ( 4 )  48.93 (10 )  53.89
 2 Colorado College 17   9- 5- 3  61.76 ( 3 )  50.15 (11 )  52.37 ( 1 )  53.61
 3 Minnesota        21   8- 7- 6  52.38 ( 7 )  52.43 ( 7 )  51.63 ( 2 )  52.22
 4 Maine            14   9- 4- 1  67.86 ( 2 )  44.53 (14 )  51.31 ( 6 )  52.06
 5 North Dakota     15   6- 6- 3  50.00 ( 8t)  52.30 ( 8 )  51.03 ( 7 )  51.41
 6 MSU-Mankato      17   6- 7- 4  47.06 (10t)  52.73 ( 5 )  51.53 ( 4 )  51.01
 7 St. Cloud State  16   6- 7- 3  46.88 (12 )  51.02 (10 )  49.93 ( 8 )  49.71
 8 Wayne State       2   1- 1- 0  50.00 ( 8t)  57.14 ( 2 )  34.39 (16 )  49.67
 9 Boston College   13   4- 6- 3  42.31 (13 )  51.40 ( 9 )  49.54 ( 9 )  48.66
10 Michigan          9   4- 3- 2  55.56 ( 5t)  45.02 (13 )  47.35 (12 )  48.24
11 Boston Universit 17   8- 9- 0  47.06 (10t)  48.63 (12 )  48.10 (11 )  48.10
12 Cornell           8   6- 2- 0  75.00 ( 1 )  30.36 (16 )  51.52 ( 5 )  46.81
13 Ohio State        8   1- 5- 2  25.00 (14 )  56.55 ( 3 )  39.62 (15 )  44.43
14 Ferris State      9   5- 4- 0  55.56 ( 5t)  34.39 (15 )  51.61 ( 3 )  43.99
15 Mercyhurst        3   0- 3- 0   0.00 (16 )  61.46 ( 1 )  46.40 (13 )  42.33
16 Harvard           7   0- 6- 1   7.14 (15 )  52.44 ( 6 )  40.61 (14 )  38.16

                   Average         46.37       49.67       47.87       48.39
          Standard Deviation       19.46        7.72        5.06        4.21
                   range            0.00       30.36       34.39
                    to             75.00       61.46       52.37


 This information is freely available for personal use.

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]               http://cs.uccs.edu/~cdash
(719) 262-3492                  (fax) 262-3369




charlie shub   University of Colorado at Colorado Springs
[log in to unmask]               http://cs.uccs.edu/~cdash
(719) 262-3492                  (fax) 262-3369

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