Pairwise Comparisons and PWR for D1 College Hockey (2008-2009)

© 1999-2008, Joe Schlobotnik (archives)

URL for this frameset: http://slack.net/~whelan/tbrw/tbrw.cgi?2009/pwr.shtml

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

Today's Pairwise Comparisons (including games of 2009 March 21)

Pairwise Comparisons
Rk Team PWR RPI Comparisons Won
1 Boston Univ  (he) 24 .5963 Nt DU Mi Ya NE MD ND Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
2 Notre Dame  (cc) 23 .5908 DU Mi Ya NE MD ND Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
3 Denver U  (wc) 22 .5594   Mi Ya NE MD ND Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
4 Michigan  (cc) 21 .5698     Ya NE MD ND Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
5 Yale  (ec) 20 .5554       NE MD ND Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
6 NorthEastern  (he) 18 .5621         MD   Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
7 Minn-Duluth  (wc) 18 .5443           ND Vt NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
8 North Dakota  (wc) 17 .5439         NE     NH Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
9 Vermont  (he) 16 .5499             ND NH Cr Pn Mm AF OS Wi   BC SL CC ML SC NM Ak Mk
10 New Hampshire (he) 15 .5423                 Cr Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
11 Cornell  (ec) 14 .5405                   Pn Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
12 Princeton  (ec) 13 .5367                     Mm AF OS Wi Mn BC SL CC ML SC NM Ak Mk
13 Miami  (cc) 12 .5369                       AF OS Wi Mn BC SL CC ML SC NM Ak Mk
14 Air Force  (ah) 11 .5339                         OS Wi Mn BC SL CC ML SC NM Ak Mk
15 Ohio State  (cc) 9 .5338                           Wi Mn BC SL CC ML   NM Ak Mk
16 Wisconsin  (wc) 9 .5336                             Mn BC SL CC ML SC NM Ak Mk
17 Minnesota  (wc) 9 .5328               Vt               BC SL CC ML SC NM Ak Mk
18 Boston Coll  (he) 6 .5333                                 SL CC   SC NM Ak Mk
19 St Lawrence  (ec) 6 .5330                                   CC ML SC NM Ak Mk
20 CO College  (wc) 5 .5241                                     ML SC NM Ak Mk
21 Mass-Lowell  (he) 4 .5331                                 BC     SC   Ak Mk
22 St Cloud  (wc) 4 .5169                           OS             NM Ak Mk
23 Northern Mich (cc) 3 .5164                                       ML   Ak Mk
24 AK-Fairbanks  (cc) 1 .5105                                             Mk
25 MSU-Mankato  (wc) 0 .5092                                              

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
Boston Univ 1 24 1 .5963 1 16-3-3 .7955
Notre Dame 2 23 2 .5908 3 12-5 .7059
Denver U 3 22 5 .5594 5 15-10-4 .5862
Michigan 4 21 3 .5698 7 12-9 .5714
Yale 5 20 6 .5554 2 7-2-1 .7500
Northeastern 6 18 4 .5621 9 9-8-4 .5238
Minn-Duluth 7 18 8 .5443 4 15-9-4 .6071
North Dakota 8 17 9 .5439 6 14-10-3 .5741
Vermont 9 16 7 .5499 15 8-10-3 .4524
New Hampshire 10 15 10 .5423 13 9-10-2 .4762
Cornell 11 14 11 .5405 14 5-6 .4545
Princeton 12 13 13 .5367 8 5-4-1 .5500
Miami 13 12 12 .5369 11T 8-8-3 .5000
Air Force 14 11 14 .5339 24 1-2 .3333
Ohio State 15 9 15 .5338 21 7-11-1 .3947
Wisconsin 16 9 16 .5336 17 12-16-3 .4355
Minnesota 17 9 20 .5328 10 13-12-4 .5172
Boston Coll 18 6 17 .5333 23 6-12-3 .3571
St Lawrence 19 6 19 .5330 18 5-7-2 .4286
CO College 20 5 21 .5241 16 8-11-6 .4400
Mass-Lowell 21 4 18 .5331 20 7-11-2 .4000
St Cloud 22 4 22 .5169 19 10-15-2 .4074
Northern Mich 23 3 23 .5164 11T 9-9-2 .5000
AK-Fairbanks 24 1 24 .5105 22 5-9-2 .3750
MSU-Mankato 25 0 25 .5092 25 7-16-3 .3269

See also

Last Modified: 2012 March 25

Joe Schlobotnik / joe@amurgsval.org

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