WIAA Boys HS Hockey Computer Ranking Comparison
Posted: Wed Feb 05, 2020 1:52 pm
Below is a comparison between two vastly different Ranking/Rating algorithms.
A mini-network consisting of only the North Dakota, Minnesota, Wisconsin & UP-Michigan was processed through Sportsoft using both the least-squares and KRACH algorithms. The least-squares computes a best-fitting elevation model using raw game score differential values, whereas the KRACH using the Bradley-Terry method of paired outcomes (it only considers the win/loss/tie outcome of a game result, and disregards the game score differential). The WIAA teams were extracted for the comparison below:
enjoy - Doc
A mini-network consisting of only the North Dakota, Minnesota, Wisconsin & UP-Michigan was processed through Sportsoft using both the least-squares and KRACH algorithms. The least-squares computes a best-fitting elevation model using raw game score differential values, whereas the KRACH using the Bradley-Terry method of paired outcomes (it only considers the win/loss/tie outcome of a game result, and disregards the game score differential). The WIAA teams were extracted for the comparison below:
enjoy - Doc
Code: Select all
Boys High School Hockey Rankings: Wisconsin (WIAA)
by Sportsoft
Feb. 03, 2020
Comparison between Least-Squares vs. KRACH Algorithms
LSQRANK LSQ_ Team League SEC DIV GP (WW-LL-TT) KRACH Team KRACH_ SOS WL_Ratio (WW-LL-TT)
rating rating
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1 WI HS 996.6707 GreenBayNotreDameAcademy WIAA 2 D1 19 (18- 1- 0) | 1 GreenBayNotreDameAcademy 19384.86 1064.93 18.20 (18- 1- 0)
2 WI HS 996.1433 Hudson(WI) WIAA 1 D1 19 (15- 4- 0) | 2 Arrowhead 16234.58 458.27 35.43 (18- 0- 1)
3 WI HS 995.4608 Verona WIAA 3 D1 21 (17- 4- 0) | 3 WausauWest 7171.29 802.38 8.94 (18- 2- 0)
4 WI HS 994.8843 EagleRiverNorthlandPines WIAA 2 D2 20 (17- 3- 0) | 4 Verona 5038.21 1166.43 4.32 (17- 4- 0)
5 WI HS 994.8567 FondduLacSprings WIAA 4 D2 22 (18- 2- 2) | 5 FondduLacSprings 2848.01 453.36 6.28 (18- 2- 2)
6 WI HS 994.5783 Arrowhead WIAA 4 D1 19 (18- 0- 1) | 6 UniversitySchoolMilwaukee 1712.93 529.69 3.23 (15- 4- 2)
7 WI HS 994.4925 WausauWest WIAA 1 D1 20 (18- 2- 0) | 7 Hudson(WI) 1636.39 434.99 3.76 (15- 4- 0)
8 WI HS 994.4009 ChippewaFalls WIAA 1 D1 20 (16- 4- 0) | 8 EagleRiverNorthlandPines 1408.84 254.33 5.54 (17- 3- 0)
9 WI HS 993.7448 EauClaireMemorial WIAA 1 D1 17 ( 9- 7- 1) | 9 MadisonEdgewood 822.25 209.27 3.93 (16- 4- 0)
10 WI HS 993.7367 UniversitySchoolMilwaukee WIAA 4 D1 21 (15- 4- 2) | 10 FondduLac 733.84 263.17 2.79 (14- 5- 0)
11 WI HS 993.3448 FondduLac WIAA 2 D1 19 (14- 5- 0) | 11 ChippewaFalls 698.08 179.05 3.90 (16- 4- 0)
12 WI HS 992.9192 Onalaska/LaCrosse WIAA 1 D1 20 (17- 2- 1) | 12 Neenah/Hortonville/Menasha 656.21 348.97 1.88 (13- 7- 0)
13 WI HS 992.9028 Neenah/Hortonville/Menasha WIAA 2 D1 20 (13- 7- 0) | 13 KMMO 426.08 228.21 1.87 (13- 7- 0)
14 WI HS 992.8823 MadisonEdgewood WIAA 3 D1 20 (16- 4- 0) | 14 Onalaska/LaCrosse 394.11 61.43 6.42 (17- 2- 1)
15 WI HS 992.8249 KMMO WIAA 4 D1 20 (13- 7- 0) | 15 SunPrairie 375.29 113.47 3.31 (17- 5- 0)
16 WI HS 992.4953 SaukPrairie WIAA 3 D1 17 (15- 2- 0) | 16 EauClaireMemorial 366.77 283.24 1.29 ( 9- 7- 1)
17 WI HS 992.3112 Waupun WIAA 4 D2 21 (13- 6- 2) | 17 Waupun 289.60 146.11 1.98 (13- 6- 2)
18 WI HS 992.3024 MilwaukeeMarquette WIAA 4 D1 12 ( 8- 4- 0) | 18 Hayward 229.50 69.78 3.29 (15- 4- 1)
19 WI HS 992.1958 BayPort WIAA 2 D1 22 ( 8-14- 0) | 19 DePere 215.09 126.63 1.70 (12- 7- 0)
20 WI HS 992.1167 SunPrairie WIAA 3 D1 22 (17- 5- 0) | 20 MilwaukeeMarquette 203.41 104.74 1.94 ( 8- 4- 0)
21 WI HS 992.1032 Waunakee WIAA 4 D2 21 (14- 7- 0) | 21 SaukPrairie 161.76 25.38 6.37 (15- 2- 0)
22 WI HS 992.0027 EauClaireNorth WIAA 1 D1 20 ( 9- 8- 3) | 22 EauClaireNorth 143.74 129.41 1.11 ( 9- 8- 3)
23 WI HS 991.8774 Hayward WIAA 1 D2 20 (15- 4- 1) | 23 StevensPoint 137.95 102.59 1.34 (11- 8- 1)
24 WI HS 991.6860 Superior(WI) WIAA 1 D2 20 ( 7-12- 1) | 24 Waunakee 120.54 61.99 1.94 (14- 7- 0)
25 WI HS 991.6784 DePere WIAA 2 D1 19 (12- 7- 0) | 25 D.C.Everest 103.56 70.40 1.47 (11- 7- 2)
26 WI HS 991.0715 StevensPoint WIAA 1 D1 20 (11- 8- 1) | 26 McFarland 98.69 30.86 3.20 (15- 4- 1)
27 WI HS 990.6110 McFarland WIAA 4 D2 20 (15- 4- 1) | 27 Superior(WI) 92.14 150.13 0.61 ( 7-12- 1)
28 WI HS 990.5527 Ashwaubenon WIAA 2 D1 19 ( 9- 9- 1) | 28 BayPort 89.41 153.00 0.58 ( 8-14- 0)
29 WI HS 990.4962 Oregon WIAA 4 D2 19 ( 9- 9- 1) | 29 Amery 67.37 22.63 2.98 (16- 5- 0)
30 WI HS 990.3859 Sheboygan WIAA 2 D1 22 (11-11- 0) | 30 MinocquaLakeland 64.68 18.72 3.46 (13- 3- 1)
31 WI HS 990.2645 BeaverDam WIAA 2 D1 19 (10- 7- 2) | 31 Middleton(WI) 61.98 50.76 1.22 (10- 8- 0)
32 WI HS 990.2433 D.C.Everest WIAA 1 D1 20 (11- 7- 2) | 32 Mosinee 47.09 26.65 1.77 (13- 7- 0)
33 WI HS 990.0501 MadisonWest WIAA 3 D1 19 ( 9-10- 0) | 33 BeaverDam 44.23 33.31 1.33 (10- 7- 2)
34 WI HS 989.9887 Amery WIAA 1 D2 21 (16- 5- 0) | 34 Ashwaubenon 40.70 41.50 0.98 ( 9- 9- 1)
35 WI HS 989.7092 MinocquaLakeland WIAA 2 D2 17 (13- 3- 1) | 35 NewRichmond 39.51 44.58 0.89 ( 9-10- 0)
36 WI HS 989.6575 Middleton(WI) WIAA 3 D1 18 (10- 8- 0) | 36 Sheboygan 36.48 37.24 0.98 (11-11- 0)
37 WI HS 989.6475 Mosinee WIAA 2 D2 20 (13- 7- 0) | 37 MadisonWest 31.78 36.08 0.88 ( 9-10- 0)
38 WI HS 989.6473 Marshfield(WI) WIAA 2 D2 20 (11- 8- 1) | 38 Baraboo/Portage 31.56 32.36 0.98 (10-10- 1)
39 WI HS 989.5955 Reedsburg/Wis.Dells WIAA 3 D1 21 ( 8-12- 1) | 39 Oregon 30.02 30.91 0.97 ( 9- 9- 1)
40 WI HS 989.4039 RiceLake WIAA 1 D2 18 ( 6-11- 1) | 40 MequonHomestead 29.49 30.34 0.97 (10-10- 0)
41 WI HS 989.3872 Waukesha WIAA 4 D1 19 ( 7-10- 2) | 41 RiverFalls 25.85 48.16 0.54 ( 6-12- 2)
42 WI HS 989.3398 RiverFalls WIAA 3 D2 20 ( 6-12- 2) | 42 RiceLake 25.30 45.05 0.56 ( 6-11- 1)
43 WI HS 989.1780 NewRichmond WIAA 1 D2 19 ( 9-10- 0) | 43 Marshfield(WI) 23.49 18.24 1.29 (11- 8- 1)
44 WI HS 989.1002 WhitefishBay WIAA 4 D1 21 (10-11- 0) | 44 Baldwin-Woodville 22.88 19.72 1.16 (10- 8- 3)
45 WI HS 988.9273 Baldwin-Woodville WIAA 3 D2 21 (10- 8- 3) | 45 Waukesha 21.06 29.66 0.71 ( 7-10- 2)
46 WI HS 988.9215 MequonHomestead WIAA 4 D1 20 (10-10- 0) | 46 Monroe(WI) 20.67 10.78 1.92 (13- 6- 1)
47 WI HS 988.5521 Brookfield WIAA 4 D1 21 ( 9-12- 0) | 47 Reedsburg/Wis.Dells 16.94 25.47 0.67 ( 8-12- 1)
48 WI HS 988.3879 MadisonMemorial WIAA 3 D1 20 ( 6-13- 1) | 48 WhitefishBay 16.55 18.86 0.88 (10-11- 0)
49 WI HS 988.3216 WestBend WIAA 2 D1 18 ( 7-11- 0) | 49 Brookfield 15.02 20.66 0.73 ( 9-12- 0)
50 WI HS 988.2908 Baraboo/Portage WIAA 3 D1 21 (10-10- 1) | 50 Somerset(WI) 13.98 16.12 0.87 ( 9-10- 1)
51 WI HS 988.2508 Monroe(WI) WIAA 3 D1 20 (13- 6- 1) | 51 WestBend 11.97 19.40 0.62 ( 7-11- 0)
52 WI HS 987.9322 Somerset(WI) WIAA 3 D2 20 ( 9-10- 1) | 52 Cedarburg 11.78 20.29 0.58 ( 6-10- 0)
53 WI HS 987.9117 Antigo WIAA 2 D2 21 ( 7-13- 1) | 53 WisconsinRapids 11.28 17.88 0.63 ( 7-11- 1)
54 WI HS 987.8749 Janesville WIAA 4 D1 19 ( 7-12- 0) | 54 Antigo 9.33 17.26 0.54 ( 7-13- 1)
55 WI HS 987.7427 WisconsinRapids WIAA 1 D1 19 ( 7-11- 1) | 55 MadisonMemorial 9.03 19.19 0.47 ( 6-13- 1)
56 WI HS 987.4823 Tomah/Sparta WIAA 3 D1 19 ( 9- 9- 1) | 56 Janesville 8.11 14.40 0.56 ( 7-12- 0)
57 WI HS 987.4206 DeForest WIAA 3 D1 20 ( 5-14- 1) | 57 Tomah/Sparta 7.00 7.44 0.94 ( 9- 9- 1)
58 WI HS 987.3546 Rhinelander WIAA 2 D2 18 ( 7-11- 0) | 58 Menomonie 6.66 23.59 0.28 ( 4-14- 0)
59 WI HS 987.1965 AppletonUnited WIAA 2 D1 23 ( 5-18- 0) | 59 Waupaca 5.49 9.55 0.57 ( 7-12- 1)
60 WI HS 987.0768 Waupaca WIAA 2 D2 20 ( 7-12- 1) | 60 AppletonUnited 5.12 18.70 0.27 ( 5-18- 0)
61 WI HS 986.9563 Cedarburg WIAA 4 D2 16 ( 6-10- 0) | 61 NorthwestIcemen 4.09 4.37 0.94 (10-10- 0)
62 WI HS 986.9390 NorthwestIcemen WIAA 1 D1 20 (10-10- 0) | 62 DeForest 4.03 10.95 0.37 ( 5-14- 1)
63 WI HS 985.7812 WestSalem WIAA 3 D2 19 ( 7-11- 1) | 63 Rhinelander 3.75 6.22 0.60 ( 7-11- 0)
64 WI HS 985.7513 Medford(WI) WIAA 1 D2 19 (11- 7- 1) | 64 Medford(WI) 2.58 1.86 1.39 (11- 7- 1)
65 WI HS 985.7317 FoxCities WIAA 2 D1 20 ( 3-17- 0) | 65 Stoughton(WI) 1.40 4.35 0.32 ( 4-13- 1)
66 WI HS 985.5650 Ashland(WI) WIAA 1 D1 22 ( 8-14- 0) | 66 Greendale 1.37 2.30 0.60 ( 8-13- 1)
67 WI HS 985.4159 BlackRiverFalls WIAA 3 D2 18 ( 8-10- 0) | 67 FoxCities 1.14 6.56 0.17 ( 3-17- 0)
68 WI HS 985.3542 Greendale WIAA 4 D1 22 ( 8-13- 1) | 68 MononaGrove 0.9005 2.82 0.32 ( 4-13- 1)
69 WI HS 985.3037 Menomonie WIAA 3 D2 18 ( 4-14- 0) | 69 WestSalem 0.8037 1.31 0.61 ( 7-11- 1)
70 WI HS 985.2977 MononaGrove WIAA 4 D2 18 ( 4-13- 1) | 70 BeloitMemorial 0.7917 4.34 0.18 ( 3-16- 0)
71 WI HS 985.1875 BeloitMemorial WIAA 4 D1 19 ( 3-16- 0) | 71 Ashland(WI) 0.7599 1.40 0.54 ( 8-14- 0)
72 WI HS 985.0712 Milton(WI) WIAA 4 D1 19 ( 5-14- 0) | 72 East-Merrill 0.6193 2.58 0.24 ( 3-15- 2)
73 WI HS 983.9863 Stoughton(WI) WIAA 4 D2 18 ( 4-13- 1) | 73 BlackRiverFalls 0.6038 0.82 0.74 ( 8-10- 0)
74 WI HS 983.9186 Avalanche WIAA 1 D1 22 ( 2-18- 2) | 74 Milton(WI) 0.4795 1.42 0.34 ( 5-14- 0)
75 WI HS 983.6673 Oshkosh WIAA 2 D1 19 ( 1-18- 0) | 75 Shawano/Bonduel/Clintonville 0.3419 0.33 1.04 ( 3- 2- 0)
76 WI HS 983.5689 East-Merrill WIAA 1 D1 20 ( 3-15- 2) | 76 MadisonLaFollette/East 0.2703 1.95 0.14 ( 2-17- 1)
77 WI HS 981.9524 Viroqua WIAA 3 D2 17 ( 3-14- 0) | 77 Avalanche 0.1307 0.86 0.15 ( 2-18- 2)
78 WI HS 981.8271 MadisonLaFollette/East WIAA 3 D1 20 ( 2-17- 1) | 78 Oshkosh 0.0812 1.48 0.05 ( 1-18- 0)
79 WI HS 981.4281 Regis/Altoona/McDonell WIAA 3 D2 20 ( 3-17- 0) | 79 Regis/Altoona/McDonell 0.0800 0.47 0.17 ( 3-17- 0)
80 WI HS 980.6774 Chequamegon/Phillips/Butternut WIAA 1 D2 18 ( 4-14- 0) | 80 Viroqua 0.0783 0.39 0.20 ( 3-14- 0)
81 WI HS 980.2542 Tomahawk WIAA 2 D2 18 ( 2-16- 0) | 81 Tomahawk 0.0580 0.49 0.12 ( 2-16- 0)
82 WI HS 978.6913 WSFLG WIAA 1 D2 15 ( 0-15- 0) | 82 Chequamegon/Phillips/Butternut 0.0483 0.18 0.27 ( 4-14- 0)
83 WI HS 976.7267 Shawano/Bonduel/Clintonville WIAA 2 D2 5 ( 3- 2- 0) | 83 GreenBayUnited 0.0100 2.64 0.00 ( 0- 2- 0)
84 WI HS 974.0554 Kenosha WIAA 4 D1 11 ( 0-11- 0) | 84 Kenosha 0.0100 15.89 0.00 ( 0-11- 0)
85 WI HS 970.7267 GreenBayUnited WIAA 2 D2 2 ( 0- 2- 0) | 85 WSFLG 0.0100 42.39 0.00 ( 0-15- 0)