Rick (and others):
The Sanctioning body has changed how RPI and Pairwise are to be
computed this year. Details can be found at
http://www.ncaa.org/news/2002/20020624/awide/3913n09.html
thanks to dan wolken of the colorado springs gazette for pointing this
out to me.
The details that impact the pairwise computation seem to be
The committee also spent time improving and changing the
selection criteria. The committee decided to alter the method
of selection slightly, eliminating a team's record in the last
16 games as one of the criteria. The committee also changed
the definition of teams under consideration from having a .500
won-lost percentage to having at least a .500 mark in the
Rating Percentage Index.
and the details that impact the RPI calculations seem to be
Changed the weighting of the current Rating Percentage Index
(RPI) system. In the past, the RPI weighting was based on 35
percent winning percentage, 50 percent strength of schedule
and 15 percent opponents' strength of schedule. The group
voted to make the breakdown 25 percent winning percentage, 50
percent strength of schedule and 25 percent opponents'
strength of schedule.
While a cursory glance seems to confirm you are doing the individual
calculations correctly, your weighted average seems to reflect the old
35, 50, 15 weights instead of the new ones.
If anybody is interested, I've included my calculations at the bottom
> Date: Wed, 27 Nov 2002 08:21:05 -0500
> From: Rick Sayles <[log in to unmask]>
> Subject: T-day RPI
> To: Hockey-L
>
> OK it's early but I for one enjoy seeing the early season RPI, and I like to
> see how much it changes day to day. To date life has been tough for
> Merrimack whose opponents winning percentage is 71.5% - that's life in the
> fast lane! Just remember that there are statistical anomalies at this
> point. Enjoy
>
>
> 2002-2003 NCAA Division I RPI Ratings
> Based on 343 games
>
> Rk Team GP W L T Win % Rk Opp % Rk
> OppOpp % Rk RPI
> ----------------------------------------------------------------------------
> ------------------------
> 1 Cornell 7 6 1 0 0.8571 3 0.5672 16
> 0.5424 14 0.6649
> 2 Maine 12 10 1 1 0.8750 2 0.5389 22
> 0.5180 21 0.6534
> 3 Boston College 12 9 2 1 0.7917 5 0.5689 15
> 0.5668 5 0.6466
> 4 New Hampshire 12 8 2 2 0.7500 10 0.5922 9
> 0.5593 7 0.6425
> 5 North Dakota 12 11 1 0 0.9167 1 0.4539 39
> 0.5524 11 0.6306
> 6 Notre Dame 11 5 4 2 0.5455 22 0.6965 2
> 0.5007 30 0.6142
> 7 Ferris State 14 11 3 0 0.7857 7 0.5034 32
> 0.5719 3 0.6125
> 8 Colorado College 12 9 1 2 0.8333 4 0.4394 44
> 0.5586 8 0.5952
> 9 Dartmouth 9 6 3 0 0.6667 13 0.5567 18
> 0.5535 10 0.5947
> 10 Michigan 12 9 2 1 0.7917 5 0.4461 42
> 0.6089 1 0.5915
> 11 Boston University 12 7 3 2 0.6667 13 0.5428 21
> 0.5687 4 0.5900
> 12 Merrimack 10 3 5 2 0.4000 36 0.7150 1
> 0.4992 32 0.5724
> 13 Yale 8 5 3 0 0.6250 18 0.5573 17
> 0.4969 33 0.5719
> 14 Ohio State 13 8 4 1 0.6538 15 0.5252 25
> 0.5255 18 0.5703
> 15 Harvard 8 5 3 0 0.6250 18 0.5353 24
> 0.5169 22 0.5639
> 16 St. Cloud State 12 6 5 1 0.5417 24 0.5952 7
> 0.5089 26 0.5635
> 17 Miami 16 12 3 1 0.7813 9 0.4190 50
> 0.5366 15 0.5634
> 18 Minnesota 13 7 3 3 0.6538 15 0.5039 31
> 0.5437 13 0.5624
> 19 Denver 14 10 2 2 0.7857 7 0.3957 54
> 0.5634 6 0.5574
> 20 Brown 7 4 3 0 0.5714 21 0.5217 27
> 0.5151 23 0.5381
> 21 Providence 13 8 4 1 0.6538 15 0.4318 47
> 0.5797 2 0.5317
> 22 Massachusetts 11 6 5 0 0.5455 22 0.5087 29
> 0.5318 17 0.5250
> 23 Minnesota-Duluth 12 4 5 3 0.4583 29 0.5556 19
> 0.5564 9 0.5217
> 24 Quinnipiac 14 9 4 1 0.6786 12 0.4226 49
> 0.4539 49 0.5169
> 25 Wisconsin 12 5 7 0 0.4167 33 0.5940 8
> 0.4885 36 0.5161
> 26 Northern Michigan 13 7 5 1 0.5769 20 0.4603 37
> 0.5218 20 0.5104
> 27 Holy Cross 11 8 3 0 0.7273 11 0.3759 59
> 0.4270 54 0.5066
> 28 Mass.-Lowell 12 4 8 0 0.3333 46 0.6289 3
> 0.4962 34 0.5056
> 29 Northeastern 12 3 7 2 0.3333 46 0.6248 4
> 0.5016 29 0.5043
> 30 MSU-Mankato 10 3 5 2 0.4000 36 0.5745 14
> 0.5100 24 0.5038
> 31 Western Michigan 13 5 7 1 0.4231 31 0.5453 20
> 0.5519 12 0.5035
> 32 Alaska-Fairbanks 12 3 7 2 0.3333 46 0.5870 10
> 0.5084 27 0.4864
> 33 Union 12 5 4 3 0.5417 24 0.4326 46
> 0.5072 28 0.4820
> 34 Nebraska-Omaha 12 4 7 1 0.3750 43 0.5388 23
> 0.4953 35 0.4749
> 35 Bemidji State 12 4 3 5 0.5417 24 0.4241 48
> 0.4746 41 0.4728
> 36 Vermont 13 4 7 2 0.3846 41 0.5147 28
> 0.5325 16 0.4719
> 37 Bowling Green 12 3 8 1 0.2917 53 0.5959 6
> 0.4738 42 0.4711
> 38 Clarkson 9 3 5 1 0.3889 40 0.5239 26
> 0.4684 45 0.4683
> 39 Michigan State 11 5 6 0 0.4545 30 0.4513 41
> 0.5096 25 0.4612
> 40 Colgate 13 5 7 1 0.4231 31 0.4725 36
> 0.5000 31 0.4593
> 41 Alaska-Anchorage 12 1 8 3 0.2083 57 0.6178 5
> 0.4827 39 0.4542
> 42 Lake Superior 12 3 9 0 0.2500 54 0.5786 13
> 0.4605 47 0.4459
> 43 Wayne State 10 4 6 0 0.4000 36 0.4581 38
> 0.4804 40 0.4411
> 44 Michigan Tech 11 1 7 3 0.2273 55 0.5811 12
> 0.4561 48 0.4385
> 45 Rensselaer 13 6 7 0 0.4615 28 0.3915 55
> 0.5233 19 0.4358
> 46 Niagara 13 4 9 0 0.3077 50 0.5067 30
> 0.4670 46 0.4311
> 47 Sacred Heart 11 4 4 3 0.5000 27 0.3775 58
> 0.4383 51 0.4295
> 48 Findlay 10 3 6 1 0.3500 44 0.4811 34
> 0.4378 52 0.4287
> 49 Alabama-Huntsville 10 3 7 0 0.3000 51 0.5032 33
> 0.4703 44 0.4271
> 50 Mercyhurst 11 4 6 1 0.4091 35 0.3994 53
> 0.4729 43 0.4138
> 51 Connecticut 11 3 7 1 0.3182 49 0.4772 35
> 0.4235 55 0.4135
> 52 Air Force 12 5 7 0 0.4167 33 0.3998 52
> 0.4402 50 0.4118
> 53 American Int'l 10 3 6 1 0.3500 44 0.4524 40
> 0.3988 59 0.4085
> 54 Princeton 9 1 8 0 0.1111 60 0.5858 11
> 0.4865 37 0.4048
> 55 Canisius 13 5 8 0 0.3846 41 0.4121 51
> 0.4221 56 0.4040
> 56 Army 10 3 7 0 0.3000 51 0.4455 43
> 0.3894 60 0.3861
> 57 St. Lawrence 11 2 8 1 0.2273 55 0.4355 45
> 0.4838 38 0.3699
> 58 Bentley 10 4 6 0 0.4000 36 0.3116 60
> 0.4035 58 0.3563
> 59 Iona 13 2 10 1 0.1923 58 0.3903 56
> 0.4322 53 0.3273
> 60 Fairfield 9 1 7 1 0.1667 59 0.3878 57
> 0.4062 57 0.3131
>
>
> Richard Sayles
> 5711 Boardman Hall, Room 221
> Mechanical Engineering Department
> University of Maine
> Orono, ME 04469-5711
> ------------------------------------------------------
> email: [log in to unmask]
> tel: (207) 581-2126
> fax: (207) 581-2379
>
Estimated NCAA Division 1 Ice Hockey PAIRWISE COMPARISONS
UNDER CONSTRUCTION
based on 343 games played through 11/26/02
Game scores for this calculation provided by www.uscho.com
Software to perform the calculation developed by Charlie Shub
index team games win % being considered rpi won
----- ---- ----- ----- ---------------- --- ---
1 Cornell 7 85.71 ( 4- 1- 0) 80.00 63.35 29
2 New Hampshire 12 75.00 ( 7- 2- 2) 72.73 62.34 27
3 Maine 12 87.50 ( 5- 1- 1) 78.57 61.77 27
4 Boston College 12 79.17 ( 8- 2- 1) 77.27 62.41 26
5 North Dakota 12 91.67 ( 5- 1- 0) 83.33 59.42 25
6 Ferris State 14 78.57 ( 8- 2- 0) 80.00 59.11 25
7 Notre Dame 11 54.55 ( 5- 4- 2) 54.55 60.98 22
8 Michigan 12 79.17 ( 5- 2- 0) 71.43 57.32 21
9 Dartmouth 9 66.67 ( 3- 3- 0) 50.00 58.34 20
10 Colorado College 12 83.33 ( 4- 1- 2) 71.43 56.77 19
11 Boston University 12 66.67 ( 5- 3- 1) 61.11 58.02 19
12 Merrimack 10 40.00 ( 3- 5- 1) 38.89 58.23 18
13 St. Cloud State 12 54.17 ( 5- 4- 1) 55.00 56.02 18
14 Yale 8 62.50 ( 0- 3- 0) 0.00 55.91 15
15 Harvard 8 62.50 ( 1- 3- 0) 25.00 55.31 14
16 Minnesota 13 65.38 ( 2- 3- 2) 42.86 55.14 14
17 Ohio State 13 65.38 ( 1- 4- 1) 25.00 55.75 13
18 Miami 16 78.12 ( 4- 1- 1) 75.00 53.90 13
19 Denver 14 78.57 ( 4- 2- 0) 66.67 53.51 11
20 Brown 7 57.14 ( 2- 1- 0) 66.67 53.25 11
21 Minnesota-Duluth 12 45.83 ( 3- 5- 2) 40.00 53.15 9
22 Providence 13 65.38 ( 5- 4- 1) 55.00 52.43 9
23 Massachusetts 11 54.55 ( 3- 4- 0) 42.86 52.36 7
24 Wisconsin 12 41.67 ( 3- 6- 0) 33.33 52.33 6
25 Western Michigan 13 42.31 ( 1- 6- 1) 18.75 51.64 4
26 Northern Michigan 13 57.69 ( 2- 3- 1) 41.67 50.49 4
27 Northeastern 12 33.33 ( 1- 7- 1) 16.67 52.11 3
28 Mass.-Lowell 12 33.33 ( 1- 8- 0) 11.11 52.19 3
29 MSU-Mankato 10 40.00 ( 2- 5- 1) 31.25 51.48 3
30 Alaska-Fairbanks 12 33.33 ( 0- 6- 2) 12.50 50.39 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.
(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.
This information is freely available for personal use.
Copyright 2002 Charlie Shub.
Republication without permission is prohibited.
Estimated NCAA Division 1 Ice Hockey ratings percentage index
based on 343 games played through 11/26/02
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 Cornell 7 6- 1- 0 85.71 ( 3) 56.72 (16) 54.24 (14) 63.35
2 Boston College 12 9- 2- 1 79.17 ( 5) 56.89 (15) 56.68 ( 5) 62.41
3 New Hampshire 12 8- 2- 2 75.00 (10) 59.22 ( 9) 55.93 ( 7) 62.34
4 Maine 12 10- 1- 1 87.50 ( 2) 53.89 (22) 51.80 (21) 61.77
5 Notre Dame 11 5- 4- 2 54.55 (22) 69.65 ( 2) 50.07 (30) 60.98
6 North Dakota 12 11- 1- 0 91.67 ( 1) 45.39 (39) 55.24 (11) 59.42
7 Ferris State 14 11- 3- 0 78.57 ( 7) 50.34 (32) 57.19 ( 3) 59.11
8 Dartmouth 9 6- 3- 0 66.67 (13) 55.67 (18) 55.35 (10) 58.34
9 Merrimack 10 3- 5- 2 40.00 (36) 71.50 ( 1) 49.92 (32) 58.23
10 Boston University 12 7- 3- 2 66.67 (13) 54.28 (21) 56.87 ( 4) 58.02
11 Michigan 12 9- 2- 1 79.17 ( 5) 44.61 (42) 60.89 ( 1) 57.32
12 Colorado College 12 9- 1- 2 83.33 ( 4) 43.94 (44) 55.86 ( 8) 56.77
13 St. Cloud State 12 6- 5- 1 54.17 (24) 59.52 ( 7) 50.89 (26) 56.02
14 Yale 8 5- 3- 0 62.50 (18) 55.73 (17) 49.69 (33) 55.91
15 Ohio State 13 8- 4- 1 65.38 (15) 52.52 (25) 52.55 (18) 55.75
16 Harvard 8 5- 3- 0 62.50 (18) 53.53 (24) 51.69 (22) 55.31
17 Minnesota 13 7- 3- 3 65.38 (15) 50.39 (31) 54.37 (13) 55.14
18 Miami 16 12- 3- 1 78.12 ( 9) 41.90 (50) 53.66 (15) 53.90
19 Denver 14 10- 2- 2 78.57 ( 7) 39.57 (54) 56.34 ( 6) 53.51
20 Brown 7 4- 3- 0 57.14 (21) 52.17 (27) 51.51 (23) 53.25
21 Minnesota-Duluth 12 4- 5- 3 45.83 (29) 55.56 (19) 55.64 ( 9) 53.15
22 Providence 13 8- 4- 1 65.38 (15) 43.18 (47) 57.97 ( 2) 52.43
23 Massachusetts 11 6- 5- 0 54.55 (22) 50.87 (29) 53.18 (17) 52.36
24 Wisconsin 12 5- 7- 0 41.67 (33) 59.40 ( 8) 48.85 (36) 52.33
25 Mass.-Lowell 12 4- 8- 0 33.33 (46) 62.89 ( 3) 49.62 (34) 52.19
26 Northeastern 12 3- 7- 2 33.33 (46) 62.48 ( 4) 50.16 (29) 52.11
27 Western Michigan 13 5- 7- 1 42.31 (31) 54.53 (20) 55.19 (12) 51.64
28 MSU-Mankato 10 3- 5- 2 40.00 (36) 57.45 (14) 51.00 (24) 51.48
29 Northern Michigan 13 7- 5- 1 57.69 (20) 46.03 (37) 52.18 (20) 50.49
30 Alaska-Fairbanks 12 3- 7- 2 33.33 (46) 58.70 (10) 50.84 (27) 50.39
31 Quinnipiac 14 9- 4- 1 67.86 (12) 42.26 (49) 45.39 (49) 49.44
32 Bowling Green 12 3- 8- 1 29.17 (53) 59.59 ( 6) 47.38 (42) 48.93
33 Nebraska-Omaha 12 4- 7- 1 37.50 (43) 53.88 (23) 49.53 (35) 48.69
34 Vermont 13 4- 7- 2 38.46 (41) 51.47 (28) 53.25 (16) 48.67
35 Alaska-Anchorage 12 1- 8- 3 20.83 (57) 61.78 ( 5) 48.27 (39) 48.17
36 Union 12 5- 4- 3 54.17 (24) 43.26 (46) 50.72 (28) 47.85
37 Holy Cross 11 8- 3- 0 72.73 (11) 37.59 (59) 42.70 (54) 47.65
38 Clarkson 9 3- 5- 1 38.89 (40) 52.39 (26) 46.84 (45) 47.63
39 Colgate 13 5- 7- 1 42.31 (31) 47.25 (36) 50.00 (31) 46.70
40 Lake Superior 12 3- 9- 0 25.00 (54) 57.86 (13) 46.05 (47) 46.69
41 Michigan State 11 5- 6- 0 45.45 (30) 45.13 (41) 50.96 (25) 46.67
42 Bemidji State 12 4- 3- 5 54.17 (24) 42.41 (48) 47.46 (41) 46.61
43 Michigan Tech 11 1- 7- 3 22.73 (55) 58.11 (12) 45.61 (48) 46.14
44 Wayne State 10 4- 6- 0 40.00 (36) 45.81 (38) 48.04 (40) 44.91
45 Niagara 13 4- 9- 0 30.77 (50) 50.67 (30) 46.70 (46) 44.70
46 Alabama-Huntsvill 10 3- 7- 0 30.00 (51) 50.32 (33) 47.03 (44) 44.42
47 Princeton 9 1- 8- 0 11.11 (60) 58.58 (11) 48.65 (37) 44.23
48 Rensselaer 13 6- 7- 0 46.15 (28) 39.15 (55) 52.33 (19) 44.19
49 Findlay 10 3- 6- 1 35.00 (44) 48.11 (34) 43.78 (52) 43.75
50 Connecticut 11 3- 7- 1 31.82 (49) 47.72 (35) 42.35 (55) 42.40
51 Sacred Heart 11 4- 4- 3 50.00 (27) 37.75 (58) 43.83 (51) 42.34
52 Mercyhurst 11 4- 6- 1 40.91 (35) 39.94 (53) 47.29 (43) 42.02
53 Air Force 12 5- 7- 0 41.67 (33) 39.98 (52) 44.02 (50) 41.41
54 American Int'l 10 3- 6- 1 35.00 (44) 45.24 (40) 39.88 (59) 41.34
55 Canisius 13 5- 8- 0 38.46 (41) 41.21 (51) 42.21 (56) 40.77
56 St. Lawrence 11 2- 8- 1 22.73 (55) 43.55 (45) 48.38 (38) 39.55
57 Army 10 3- 7- 0 30.00 (51) 44.55 (43) 38.94 (60) 39.51
58 Bentley 10 4- 6- 0 40.00 (36) 31.16 (60) 40.35 (58) 35.67
59 Iona 13 2-10- 1 19.23 (58) 39.03 (56) 43.22 (53) 35.13
60 Fairfield 9 1- 7- 1 16.67 (59) 38.78 (57) 40.62 (57) 33.71
Average 49.47 50.22 49.79 49.92
Standard Deviation 19.99 8.39 5.01 7.13
range 11.11 31.16 38.94
to 91.67 71.50 60.89
This information is freely available for personal use.
Copyright 2002 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.
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