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KRACH Ratings for D1 College Lacrosse (2002)

Current KRACH (including games of 2002 May 4)

Team KRACH Record Sched Strength
Rk Rating RRWP Rk W-L-T PF/PA Rk SOS
Johns Hopkins 1 109898 .9711 1 11-1 11.00 1 9991
Syracuse 2 59324 .9501 2 12-2 6.000 2 9887
Virginia 3 26371 .9118 7 10-3 3.333 4 7911
Georgetown 4 25800 .9106 3 11-2 5.500 6 4691
Princeton 5 16630 .8849 13 8-4 2.000 3 8315
Hofstra 6 13969 .8739 4 11-3 3.667 7 3810
Cornell 7 11535 .8615 6 10-3 3.333 9 3461
UMass 8 10569 .8557 5 11-3 3.667 12 2882
Loyola 9 8562 .8415 8 9-4 2.250 8 3805
Duke 10 7973 .8366 26 7-6 1.167 5 6834
Maryland 11 7574 .8331 9 9-4 2.250 10 3366
Yale 12 5550 .8117 11 9-4 2.250 13 2467
No. Carolina 13 5217 .8074 18 8-5 1.600 11 3261
Pennsylvania 14 2758 .7637 10 9-4 2.250 15 1226
Brown 15 2061 .7442 28 7-7 1.000 14 2061
Navy 16 1857 .7373 17 8-5 1.600 16 1160
Towson 17 1280 .7133 21 7-5 1.400 17 914.1
Penn State 18 1207 .7096 19 8-5 1.600 19 754.5
Harvard 19 611.7 .6676 27 8-7 1.143 20 535.3
UMBC 20 583.4 .6648 36 5-7 .7143 18 816.8
Fairfield 21 272.5 .6187 20 7-5 1.400 21 194.7
Dartmouth 22 144.0 .5790 31 6-7 .8571 22 168.0
Ohio State 23 132.2 .5736 14 9-5 1.800 25 73.46
Drexel 24 98.90 .5548 16 8-5 1.600 27 61.81
Army 25 79.10 .5401 22 8-6 1.333 28 59.33
Hobart 26 70.81 .5328 32 6-7 .8571 24 82.61
Notre Dame 27 70.54 .5325 39 5-8 .6250 23 112.9
Bucknell 28 62.80 .5248 30 6-7 .8571 26 73.27
Stony Brook 29 28.96 .4718 15 10-6 1.667 32 17.37
Albany 30 21.10 .4497 23 9-7 1.286 34 16.41
Sacred Heart 31 16.73 .4333 34 6-8 .7500 29 22.31
Villanova 32 12.98 .4152 35 6-8 .7500 33 17.31
Hartford 33 11.45 .4063 24 9-7 1.286 36 8.905
Butler 34 7.194 .3731 37 5-8 .6250 35 11.51
Delaware 35 5.607 .3555 49 3-11 .2727 30 20.56
Quinnipiac 36 5.441 .3534 33 6-7 .8571 37 6.347
Colgate 37 3.860 .3299 29 7-7 1.000 41 3.860
Manhattan 38 3.678 .3266 12 11-5 2.200 42 1.672
Denver 39 3.559 .3244 38 5-8 .6250 39 5.695
Rutgers 40 3.110 .3156 51 2-12 .1667 31 18.66
Air Force 41 3.050 .3143 43 4-8 .5000 38 6.101
Lehigh 42 2.201 .2939 40 5-9 .5556 40 3.962
Providence 43 1.046 .2531 25 9-7 1.286 44 .8136
Mt St Mary's 44 .4603 .2173 42 6-11 .5455 43 .8438
Vermont 45 .1757 .1838 41 5-9 .5556 45 .3163
St. Joseph's 46 .1167 .1711 47 4-10 .4000 46 .2917
Lafayette 47 .0602 .1524 46 4-10 .4000 47 .1506
Canisius 48 .0396 .1418 44 4-8 .5000 48 .0792
Marist 49 .0267 .1330 45 4-9 .4444 49 .0601
VMI 50 0 .0926 48 2-6 .3333 54 0
Wagner 51 0 .0741 50 2-9 .2222 55 0
Binghamton 52 0 .0278 53 1-8 .1250 50 0
Boston Coll 53 0 .0278 52 1-7 .1429 51 0
Holy Cross 54 0 .0278 54 1-13 .0769 52 0
Siena 55 0 .0278 55 1-13 .0769 53 0

Explanation of the Table

KRACH
Ken's Rating for American College Hockey is an application of the Bradley-Terry method to college hockey (so the entries in this table are more properly the Bradley-Terry Ratings for College Lacrosse); a team's rating is meant to indicate its relative strength on a multiplicative scale, so that the ratio of two teams' ratings gives the expected odds of each of them winning a game between them. The ratings are chosen so that the expected winning percentage for each team based on its schedule is equal to its actual winning percentage. Equivalently, the KRACH rating can be found by multiplying a team's PF/PA (q.v.) by its Strength of Schedule (SOS; q.v.). The Round-Robin Winning Percentage (RRWP) is the winning percentage a team would be expected to accumulate if they played each other team an equal number of times.
Record
A multiplicative analogue to the winning percentage is Points For divided by Points Against (PF/PA). Here PF consists of two points for each win, while PA consists of two points for each loss. For lacrosse, where there are no ties, this is equivalent to wins divided by losses.
Sched Strength
The effective measure of Strength Of Schedule (SOS) from a KRACH point of view is a weighted average of the KRACH ratings of its opponents, where the relative weighting factor is the number of games against each opponent divided by the sum of the original team's rating and the opponent's rating. (Each team's name in the table above is a link to a rundown of KRACH-modified selection criteria which includes a list of their opponents with their KRACH ratings, which determine each opponent's contribution to the strength of schedle.) Note that the last few teams in the table have a strength of schedule of 0; this is because no one in that group has won a game against anyone outside of that group, and therefore they all have an effective KRACH of 0 when measured on the scale of the rest of the teams in the table. (If you think about the aforementioned weighting factor, the 0 strength of schedule makes sense; even if teams with non-zero KRACHs enter into the average, the weighting factor for an opponent with a 0 KRACH will be infinitely larger.)

Much more analysis of the KRACH rating system can be found on the KRACH page of slack.net/hockey