Quality wins can be computed or determined by defeating teams (a) ranked in the polls, (b) with arbitrarily power ratings when no polls exist, and (c) having RPI rankings at or above a certain level.

QWF Based on Polls

The Quality Win Factor is, naturally enough, based on the number of wins against quality opponents. For the examples that follow, a quality opponent is defined as a team which is ranked in the poll. The coaches' poll is typically used, and the number of quality teams will depend on the number of teams that are ranked. One method for assigning the quality points is shown below.

           Quality Points

Victory Teams Ranked
Against 10 20 25

1 1.0 1.00 1.00
2 0.9 0.95 0.96
3 0.8 0.90 0.92
4 0.7 0.85 0.88
5 0.6 0.80 0.84
6 0.5 0.75 0.80
7 0.4 0.70 0.76
8 0.3 0.65 0.72
9 0.2 0.60 0.68
10 0.1 0.55 0.64
11 - 0.50 0.60
12 - 0.45 0.56
13 - 0.40 0.52
14 - 0.35 0.48
15 - 0.30 0.44
16 - 0.25 0.40
17 - 0.20 0.36
18 - 0.15 0.32
19 - 0.10 0.28
20 - 0.05 0.24
21 - - 0.20
22 - - 0.16
23 - - 0.12
24 - - 0.08
25 - - 0.04

By way of example, consider an old Men's Division I coaches' poll from 2001:

    No  Team                  Votes

1 Princeton 200
2 Syracuse 186
3 Notre Dame 167
4 Johns Hopkins 164
5 Georgetown 160
6 Maryland 158
7 Loyola 138
8 Massachusetts 130
9 Duke 122
10 Towson 118
11 Bucknell 105
12 Virginia 85
13 Navy 75
14 Cornell 70
15 Hofstra 68
16 UMBC 37
17 Penn State 34
18 North Carolina 28
19 Army 26
20 Pennsylvania 16

At the time of the poll, Maryland had the results below. The Terps played numerous ranked teams and defeated #9 Duke, #10 Towson, #18 North Carolina, #11 Bucknell, #13 Navy, #4 Johns Hopkins, and (during the second meeting) #12 Virginia. Those results produce 0.60 + 0.55 + 0.15 + 0.50 + 0.40 + 0.85 + 0.45 = 3.50 total quality win points.

 Date  Opponent              (W-L, PR)   Tp Score     QWF
20
224 N Air Force ( 3-10, 82.8) 0 16- 3
225 A Denver ( 4- 5, 87.0) 0 10- 7
304 H Duke (10- 4, 93.1) 9 13- 5 0.60
310 A Towson (10- 2, 95.2) 10 9- 7 0.55
317 A Delaware ( 5- 8, 89.0) 0 10- 4
324 H North Carolina ( 5- 6, 92.4) 18 11- 7 0.15
327 H Bucknell ( 9- 3, 92.6) 11 8- 4 0.50
331 A Virginia ( 5- 6, 94.7) 12 2- 7
407 A Navy ( 7- 5, 95.5) 13 6- 5 0.40
414 H Johns Hopkins ( 6- 3, 96.3) 4 10- 9 0.85
420 N Virginia ( 5- 6, 94.7) 12 12- 8 0.45
422 N Duke (10- 4, 93.1) 9 6-10
----- -----
92.21 3.50


QWF Based on Power Ratings

Instead of using poll rankings, team QWFs can be determined by their computer ratings. In 2006, Southern California's football team had the highest QWF based on the power ratings because of wins against Arkansas, Nebraska, Oregon, California, and Notre Dame. It also scored QW points against teams not ranked in the polls such as Arizona, Washington State, Washington, and others.

Using the computer power ratings, all teams are ranked from first to last (119). If a team then has a computer rating that ranks of 50 out of 119, defeating it would earn (120 - 50) / 119 quality points.



Date Opponent W-L PR Rank Score QWF

902 A Arkansas 10- 3 32 50-14 0.7394
916 H Nebraska 9- 4 16 28-10 0.8739
923 A Arizona 6- 6 41 20- 3 0.6638
930 A Washington State 6- 6 40 28-22 0.6722
1007 H Washington 5- 7 47 26-20 0.6134
1014 H Arizona State 7- 5 29 28-21 0.7647
1028 A Oregon State 9- 4 82 31-33 Loss
1104 A Stanford 1-11 97 42- 0 0.1933
1111 H Oregon 7- 5 23 35-10 0.8151
1118 H California 9- 3 8 23- 9 0.9411
1125 H Notre Dame 10- 2 22 44-24 0.8235
1202 A UCLA 7- 5 9-13 Loss
------
7.1003

Notice that with this method all victories receive quality win points and not just those against teams that are ranked in the polls.


QWF based on RPI

Finally, the RPI ranking could be used to determine quality points. In this case, teams are awarded certain points for defeating a team ranked 1-5, 6-10, 11-20, and 21-59 in the RPI rankings (to use ranges that would be applicable to Men's Division I lacrosse). The higher the RPI ranking (e.g., 1-5), the more points they receive. Also, teams are awarded negative points if they lose games in which the reverse applies. That is, losing to a lower-ranked team results in a loss of points. Here's the scheme:

Defeating a 1-5 ranked team gives 25 points
Defeating a 6-10 ranked team gives 20 points
Defeating an 11-20 ranked team gives 15 points
Defeating a team ranked > 20 gives 5 points

Losing to a 1-5 ranked team costs 5 points
Losing to a 6-10 ranked team costs 15 points
Losing to an 11-20 ranked team costs 20 points
Losing to a team ranked > 20 costs 25 points

Using this system and looking at the example below, Syracuse's points would be computed as follows:

QWF Points = (4*25 - 1*5) + (1*20 - 1*15) + (4*15 - 0*20) + (7*5 - 0*25) = 195

1-5 6-10 11-20 21-59
No Team Pts W L W L W L W L

1 Syracuse 195 4 1 1 1 4 0 7 0
2 Virginia 175 4 3 1 0 2 0 8 0
3 Duke 160 2 2 4 0 4 1 5 1
4 Cornell 115 2 3 3 0 0 1 8 0
5 Notre Dame 115 0 0 2 0 3 1 10 0
6 Princeton 110 2 2 0 1 3 0 8 0
7 North Carolina 80 1 4 1 1 4 1 6 0
8 Johns Hopkins 75 0 3 2 2 4 0 4 0
9 Hofstra 55 0 2 1 1 3 1 7 0
10 Brown 30 1 1 0 2 1 0 10 1
11 Navy 30 0 2 0 1 4 2 7 0
12 UMBC 20 0 1 0 2 2 0 10 1
13 Loyola 15 0 3 0 1 2 1 7 0
14 Maryland 10 1 3 2 1 0 3 7 0
15 Harvard -20 1 1 0 1 0 3 7 0
16 Penn State -25 0 0 0 2 3 1 6 2
17 Colgate -30 0 2 0 1 1 3 8 0
18 Massachusetts -30 0 1 1 2 1 2 7 1
19 Bryant -35 0 1 0 1 0 2 10 1
20 Villanova -35 0 1 1 2 0 1 10 2








































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