Pairwise Comparisons and PWR for D1 College Hockey (2009-2010)

© 1999-2009, Joe Schlobotnik (archives)

URL for this frameset: http://elynah.com/tbrw/tbrw.cgi?2010/pwr.shtml

Game results taken from College Hockey News's Division I composite schedule

Pairwise Comparisons (including games of 2010 March 20)

Pairwise Comparisons
Rk Team PWR RPI Comparisons Won
1 Miami  (cc) 24 .5793 DU Wi BC ND SC Cr BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
2 Denver U  (wc) 23 .5766 Wi BC ND SC Cr BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
3 Wisconsin  (wc) 22 .5685   BC ND SC Cr BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
4 Boston Coll  (he) 21 .5625     ND SC Cr BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
5 North Dakota  (wc) 20 .5623       SC Cr BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
6 St Cloud  (wc) 19 .5504         Cr BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
7 Cornell  (ec) 18 .5462           BS Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
8 Bemidji State (ch) 17 .5429             Ya NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
9 Yale  (ec) 16 .5367               NM Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
10 Northern Mich (cc) 15 .5348                 Ak NH Vt Mi MS FS MD Me Un CC NO ML BU Mn RT
11 AK-Fairbanks  (cc) 11 .5299                   NH Vt   MS     Me Un CC NO ML BU Mn RT
12 New Hampshire (he) 11 .5330                     Vt Mi   FS   Me Un CC NO ML BU Mn RT
13 Vermont  (he) 11 .5261                       Mi MS   MD Me Un CC NO ML BU Mn RT
14 Michigan  (cc) 11 .5316                   Ak     MS FS MD   Un CC NO ML BU Mn RT
15 Mich State  (cc) 10 .5254                     NH     FS   Me Un CC NO ML BU Mn RT
16 Ferris State  (cc) 10 .5334                   Ak   Vt       Me Un CC NO ML BU Mn RT
17 Minn-Duluth  (wc) 9 .5331                   Ak NH     MS FS   Un CC NO     Mn RT
18 Maine  (he) 8 .5212                         Mi     MD   CC NO ML BU Mn RT
19 Union  (ec) 6 .5231                                 Me   NO ML BU Mn RT
20 CO College  (wc) 4 .5244                                   Un NO     Mn RT
21 NE-Omaha  (cc) 4 .5192                                       ML BU Mn RT
22 Mass-Lowell  (he) 4 .5173                               MD     CC   BU   RT
23 Boston Univ  (he) 3 .5172                               MD     CC     Mn  
24 Minnesota  (wc) 2 .5192                                         ML   RT
25 RIT  (ah) 1 .5173                                           BU  

Explanation of the Table

The table above lists all of the Teams Under Consideration (TUCs) for the NCAA tournament. This includes all tournament-eligible Division 1 teams in the top 25 of Ratings Percentage Index (RPI) with non-losing overall records. Each team has been compared to each other team on the basis of the NCAA selection criteria. Those criteria are:

RPI
The Ratings Percentage Index, described in detail on our RPI page.
TUC
Record vs other Teams Under Consideration. Head-to-head games are explicitly excluded from this criterion, which is judged on straight Winning Percentage (with ties as always counting as half a win and half a loss) in the relevant games.
COp
Record vs Common Opponents. Again, this is resolved on the basis of Winning Percentage.
H2H
Head-to-head results. Each win in head-to-head competition carries the same weight as each of the other criteria.

A team gets one point towards the comparison for each of the first three criteria it wins, plus one point for each head-to-head victory. Whichever team has more points according to this method wins the criterion. In case of a tie, the team with the higher RPI wins the criterion.

In each team's row, in the "Comparisons Won" part of the grid, are listed the abbreviations of all the teams with which they win comparisons. Each of these cells is a link to a mini-table (which will appear in a pop-up window under most browser setups) detailing the results of the four criteria. The RPI row of the mini-table contains the overall record and RPI for each team, the TUC, and COp rows contain the record and winning percentage in the games relevant to each criterion, and the H2H row contains the head-to-head record of each team against the other.

The PWR column in the main table gives the total number of comparisons won by each team. The teams are ordered according the their PWR; if two or more teams are tied in the PWR, the tie is broken if possible according to the number of comparisons each wins against the other tied teams; if this fails to resolve the tie (which can be thought of a ro-sham-bo situation: Rock crushes Scissors, Scissors cut Paper, Paper covers Rock), the RPI is used to break the tie.

Breakdown of Criteria

The following table lists, for each Team Under Consideration, the two selection criteria which are more or less the same in each comparison: RPI and record vs TUCs. Each team's name in the table is a link to a rundown of the games contributing to these two criteria.

Note a team's record in the "vs TUCs" column is that against all TUCs; since head-to-head games are left out of this criterion, the record used in an actual comparison will be different if the two teams have played each other.

Team Comps Won RPI vs TUCs
Rk PWR Rk RPI Rk W-L-T Pct
Miami 1 24 1 .5793 3 13-4-5 .7045
Denver U 2 23 2 .5766 4 15-7-2 .6667
Wisconsin 3 22 3 .5685 5 13-9-4 .5769
Boston Coll 4 21 4 .5625 7 9-7-3 .5526
North Dakota 5 20 5 .5623 8 14-11-4 .5517
St Cloud 6 19 6 .5504 9 11-10-3 .5208
Cornell 7 18 7 .5462 11T 4-4-2 .5000
Bemidji State 8 17 8 .5429 1 6-2-1 .7222
Yale 9 16 9 .5367 2 4-1-2 .7143
Northern Mich 10 15 10 .5348 6 11-8-5 .5625
AK-Fairbanks 11 11 15 .5299 14 6-7-6 .4737
New Hampshire 12 11 13 .5330 20 7-10-6 .4348
Vermont 13 11 16 .5261 11T 9-9-5 .5000
Michigan 14 11 14 .5316 15 10-12-1 .4565
Mich State 15 10 17 .5254 16 8-10-2 .4500
Ferris State 16 10 11 .5334 22 6-10-3 .3947
Minn-Duluth 17 9 12 .5331 19 11-14-1 .4423
Maine 18 8 20 .5212 10 12-11-2 .5200
Union 19 6 19 .5231 23 2-4-3 .3889
CO College 20 4 18 .5244 24 8-14-3 .3800
NE-Omaha 21 4 21 .5192 21 9-12-1 .4318
Mass-Lowell 22 4 23 .5173 17T 7-9-3 .4474
Boston Univ 23 3 25 .5172 17T 7-9-3 .4474
Minnesota 24 2 22 .5192 25 9-17-2 .3571
RIT 25 1 24 .5173 11T 0-0 .----

See also

Last Modified: 2020 February 1

Joe Schlobotnik / joe@amurgsval.org

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