Pairwise Comparisons and PWR for D1 College Hockey (2005-2006)

© 1999-2006, Joe Schlobotnik (archives)

URL for this frameset: http://www.elynah.com/tbrw/tbrw.cgi?2006/pwr.shtml

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

Pairwise Comparisons (including games of 2006 March 18)

Pairwise Comparisons
Rk Team PWR RPI Comparisons Won
1 Minnesota  (wc) 25 .5710 Wi BU   Ha Mm ND Cr Mi BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
2 Wisconsin  (wc) 25 .5694   BU MS Ha Mm ND Cr Mi BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
3 Boston Univ  (he) 24 .5657     MS Ha Mm ND Cr Mi BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
4 Mich State  (cc) 24 .5648 Mn     Ha Mm ND Cr Mi BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
5 Harvard  (ec) 22 .5565         Mm ND Cr Mi BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
6 Miami  (cc) 20 .5620           ND   Mi BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
7 North Dakota  (wc) 19 .5536             Cr Mi BC NO Me NH CC   Da SC NM FS Ak HC SL OS Cg Pv Vt LS
8 Cornell  (ec) 19 .5506           Mm   Mi BC   Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
9 Michigan  (cc) 18 .5468                 BC NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
10 Boston Coll  (he) 17 .5444                   NO Me NH CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
11 NE-Omaha  (cc) 16 .5350               Cr     Me NH   DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
12 Maine  (he) 14 .5428                       NH CC DU Da   NM FS Ak HC SL OS Cg Pv Vt LS
13 New Hampshire (he) 14 .5383                         CC DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
14 CO College  (wc) 14 .5373                     NO     DU Da SC NM FS Ak HC SL OS Cg Pv Vt LS
15 Denver U  (wc) 11 .5274             ND                 SC NM FS Ak   SL OS Cg Pv Vt LS
16 Dartmouth  (ec) 10 .5373                             DU   NM FS Ak HC SL   Cg Pv Vt LS
17 St Cloud  (wc) 10 .5263                       Me       Da   FS Ak   SL OS Cg Pv Vt LS
18 Northern Mich (cc) 10 .5233                                 SC FS Ak HC SL OS Cg Pv Vt LS
19 Ferris State  (cc) 8 .5235                                     Ak HC SL OS Cg Pv Vt LS
20 AK-Fairbanks  (cc) 7 .5211                                       HC SL OS Cg Pv Vt LS
21 Holy Cross  (ah) 6 .5298                             DU   SC       SL OS Cg   Vt  
22 St Lawrence  (ec) 4 .5142                                           OS   Pv Vt LS
23 Ohio State  (cc) 4 .5081                               Da               Pv Vt LS
24 Colgate  (ec) 3 .5171                                           SL OS Pv    
25 Providence  (he) 3 .5067                                         HC       Vt LS
26 Vermont  (he) 2 .5065                                               Cg   LS
27 Lake Superior (cc) 2 .5059                                         HC     Cg    

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 with a Ratings Percentage Index (RPI) of .500 or above. 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
Minnesota 1 25 1 .5710 7 12-7-3 .6136
Wisconsin 2 25 2 .5694 1 16-6-2 .7083
Boston Univ 3 24 3 .5657 3 13-6-4 .6522
Mich State 4 24 4 .5648 6 17-9-7 .6212
Harvard 5 22 6 .5565 2 12-6-1 .6579
Miami 6 20 5 .5620 8 13-8-2 .6087
North Dakota 7 19 7 .5536 17 10-13-1 .4375
Cornell 8 19 8 .5506 5 7-4-1 .6250
Michigan 9 18 9 .5468 12 12-13-5 .4833
Boston Coll 10 17 10 .5444 10 11-10-2 .5217
NE-Omaha 11 16 15 .5350 4 15-8-4 .6296
Maine 12 14 11 .5428 15 8-10-1 .4474
New Hampshire 13 14 12 .5383 9 12-8-5 .5800
CO College 14 14 13 .5373 16 10-13-2 .4400
Denver U 15 11 17 .5274 14 8-10-2 .4500
Dartmouth 16 10 14 .5373 25 5-9 .3571
St Cloud 17 10 18 .5263 13 11-12-2 .4800
Northern Mich 18 10 20 .5233 11 14-13 .5185
Ferris State 19 8 19 .5235 20T 7-12-8 .4074
AK-Fairbanks 20 7 21 .5211 20T 9-14-4 .4074
Holy Cross 21 6 16 .5298 26 1-2 .3333
St Lawrence 22 4 23 .5142 19 6-9-2 .4118
Ohio State 23 4 24 .5081 18 9-13-3 .4200
Colgate 24 3 22 .5171 27 3-10-2 .2667
Providence 25 3 25 .5067 22 6-11-3 .3750
Vermont 26 2 26 .5065 23 4-9-6 .3684
Lake Superior 27 2 27 .5059 24 5-11-6 .3636

See also


Last Modified: 2020 February 1

Joe Schlobotnik / joe@amurgsval.org

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