Probabilistic Bid Allocation

2016-2017 Season

Bid Distribution    Step by Step Allocation    Team Statistics    FAQ

Allocation Breakdown

Region AC GL ME NE NC NW OV SC SE SW
Initial 3.098 1.422 0.047 1.242 2.995 3.975 1.061 2.711 1.622 1.827
Autos (all @ 1) 2.098 0.422 -0.953 0.242 1.995 2.975 0.061 1.711 0.622 0.827
Northwest (@ 2) 2.098 0.422 -0.953 0.242 1.995 1.975 0.061 1.711 0.622 0.827
Atlantic Coast (@ 2) 1.098 0.422 -0.953 0.242 1.995 1.975 0.061 1.711 0.622 0.827
North Central (@ 2) 1.098 0.422 -0.953 0.242 0.995 1.975 0.061 1.711 0.622 0.827
Northwest (@ 3) 1.098 0.422 -0.953 0.242 0.995 0.975 0.061 1.711 0.622 0.827
South Central (@ 2) 1.098 0.422 -0.953 0.242 0.995 0.975 0.061 0.711 0.622 0.827
Atlantic Coast (@ 3) 0.098 0.422 -0.953 0.242 0.995 0.975 0.061 0.711 0.622 0.827
North Central (@ 3) 0.098 0.422 -0.953 0.242 -0.005 0.975 0.061 0.711 0.622 0.827
Northwest (@ 4) 0.098 0.422 -0.953 0.242 -0.005 -0.025 0.061 0.711 0.622 0.827
Southwest (@ 2) 0.098 0.422 -0.953 0.242 -0.005 -0.025 0.061 0.711 0.622 -0.173
South Central (@ 3) 0.098 0.422 -0.953 0.242 -0.005 -0.025 0.061 -0.289 0.622 -0.173
Total 3 1 1 1 3 4 1 3 1 2

Teams Ranked By Bid Fraction

Rank Team Bid Frac Rating Uncertainty High/Low Sim Record
1 Massachusetts 1 2184.94 52.06 1/7 19-3
2 Pittsburgh 1 2160.5 61.55 1/8 20-3
3 Carleton College 1 2112.29 72.08 1/12 16-7
4 North Carolina 1 2082.1 49.8 1/11 25-4
5 Minnesota 1 2060.83 52.77 1/16 19-3
6 Colorado 1 2031.8 64.45 1/16 16-4
7 Michigan 0.999 1945.03 62.93 2/22 17-5
8 Brigham Young 0.997 1927.57 49.83 3/24 18-6
9 Wisconsin 0.995 1972.23 79.32 1/26 14-9
10 Oregon 0.994 2008.93 97.02 1/23 22-5
11 Washington 0.982 1879.01 49.89 6/24 15-8
12 Georgia 0.967 1881.76 55.59 4/29 14-7
13 Cal Poly-SLO 0.964 1881.2 58.32 5/29 19-10
14 North Carolina-Wilmington 0.955 1898.09 72.5 3/28 17-6
15 North Carolina State 0.936 1854.86 51.21 6/28 20-8
16 Colorado State 0.897 1835.79 47.5 8/29 16-7
17 British Columbia 0.89 1850.3 60.82 6/35 13-7
18 Stanford 0.862 1839.44 58.85 6/33 14-8
19 Texas A&M 0.813 1849.77 77.22 3/49 10-7
20 Purdue 0.421 1762.02 71.04 8/48 18-3
21 Central Florida 0.33 1757.75 50.17 12/38 18-12
22 Auburn 0.238 1745.46 48.51 12/41 16-13
23 Tufts 0.203 1704.66 87.81 6/63 5-9
24 Virginia 0.176 1735.44 47.18 12/39 17-5
25 Florida 0.085 1698.47 53.08 13/47 21-7
26 Montana State 0.081 1633.36 99.05 10/88 17-0
27 Connecticut 0.047 1684.41 54.35 14/53 11-14
28 Case Western Reserve 0.042 1678.27 57.53 15/59 13-10
29 Oregon State 0.027 1659.96 57.18 16/55 21-11
30 Harvard 0.026 1667.86 56.91 14/55 10-12
31 Virginia Tech 0.026 1652.4 67.62 15/66 9-12
32 Penn State 0.01 1594.21 71.71 19/79 11-4
33 Cincinnati 0.009 1633.29 59.57 19/67 13-9
34 Brown 0.008 1641 57.45 16/63 9-13
35 Northeastern 0.005 1646.82 50.62 17/65 16-5
36 James Madison 0.004 1649.57 51.08 19/51 20-5
37 Western Washington 0.004 1623.95 51.94 17/58 9-10
38 Florida State 0.002 1614.07 53.93 19/66 10-13
39 Northwestern 0.001 1622.08 49.05 21/56 21-10
40 Southern California 0.001 1617.03 47.99 20/58 14-6
41 Notre Dame 0.001 1596.75 55.93 20/66 15-14
42 Texas Tech 0.001 1574.12 62.56 21/81 20-2
43 Virginia Commonwealth 0.001 1446.11 108.28 18/137 9-5
44 Franciscan 0 1615.56 147.74 5/136 20-0
45 Vermont 0 1582.2 65.43 21/80 9-6
46 LSU 0 1576.63 43.81 24/63 25-11
47 Illinois 0 1561.03 65.4 22/85 8-12
48 Texas 0 1543.77 73.24 22/101 6-13
49 California-Santa Barbara 0 1532.31 62.17 25/84 14-13
50 Utah 0 1520.86 67.74 24/86 6-6
51 Villanova 0 1503.93 76.62 23/109 13-9
52 Iowa State 0 1501.32 67.41 26/97 14-6
53 Arkansas 0 1494.86 62.4 27/106 6-10
54 Maryland 0 1482.63 56.7 30/93 19-8
55 Minnesota-Duluth 0 1474.51 82.96 22/112 17-1
56 George Washington 0 1470.79 55.83 32/102 15-6
57 Middlebury 0 1467.23 73.36 24/113 12-1
58 Richmond 0 1457.92 55.65 38/106 11-10
59 John Brown 0 1457.35 50.36 38/97 18-4
60 Ohio 0 1450.8 46.83 39/94 13-4
61 Arizona 0 1444.42 86.71 25/124 4-6
62 Ohio State 0 1441.41 65.61 30/103 16-14
63 William & Mary 0 1437.86 56.96 31/101 15-13
64 Colorado College 0 1437.45 78.68 26/121 17-2
65 California-San Diego 0 1435.76 69.77 33/123 5-10
66 Georgia Tech 0 1435.59 54.05 34/101 8-17
67 Chicago 0 1430.67 52.5 39/113 11-9
68 Victoria 0 1429.42 76.35 31/125 2-9
69 Washington University 0 1419.34 67.68 30/128 10-9
70 Clemson 0 1418.56 58.28 43/112 12-17
71 Davidson 0 1418 54.04 33/116 15-12
72 Emory 0 1416.71 78.15 29/125 16-7
73 North Carolina-Charlotte 0 1413.97 59.05 39/116 12-8
74 Alabama-Huntsville 0 1403.28 60.19 41/123 15-6
75 Georgia Southern 0 1386.21 68.89 39/127 15-10
76 Amherst 0 1385.76 67.29 41/119 10-4
77 Arizona State 0 1378.85 56.24 39/120 8-13
78 Tennessee-Chattanooga 0 1378.24 58 46/121 16-12
79 Nevada-Reno 0 1375.56 56.92 47/124 19-8
80 Lehigh 0 1369.28 76.74 43/160 11-11
81 Dartmouth 0 1367.73 54.52 48/128 8-13
82 Air Force 0 1364.22 54.84 47/119 21-4
83 Georgetown 0 1346.09 67 42/137 10-11
84 North Carolina-Asheville 0 1340.02 46.84 50/127 6-6
85 South Florida 0 1333.1 69.01 47/140 7-10
86 Utah State 0 1329.57 62.6 47/138 11-7
87 Carleton College-GoP 0 1328.17 61.72 51/141 9-4
88 Oklahoma 0 1328.15 81.28 39/147 11-7
89 Tennessee 0 1315.82 44.36 61/123 13-12
90 St John's 0 1314.55 87.07 38/154 8-5
91 Alabama 0 1311.01 51.98 55/135 15-9
92 Boston College 0 1311 98.1 42/167 7-4
93 Illinois State 0 1310.07 72.67 49/150 15-12
94 Williams 0 1298.24 65.23 54/164 18-12
95 California 0 1297.24 64.98 45/152 6-12
96 High Point 0 1287.6 70.46 59/157 10-11
97 Appalachian State 0 1285.04 99.98 37/175 12-2
98 Carnegie Mellon 0 1283.69 95.57 41/180 15-6
99 California-Davis 0 1282.99 60.66 57/148 7-11
100 Portland 0 1282.04 68.24 52/150 15-4
101 Shippensburg 0 1276.7 61.88 57/142 17-13
102 Iowa 0 1275.58 54.88 59/149 14-14
103 Mississippi 0 1272.05 58.18 61/151 16-10
104 Bentley 0 1270.19 63.43 59/162 9-3
105 Brandeis 0 1263.79 66.93 59/159 11-2
106 Indiana 0 1258.87 73.54 55/166 11-12
107 Texas A&M-B 0 1256.07 53.69 66/143 9-2
108 Texas State 0 1254.93 76.54 55/161 10-9
109 Grand Valley State 0 1247.48 59.88 69/161 11-3
110 Luther 0 1243.68 75.44 50/169 10-8
111 Princeton 0 1239.02 88.41 55/179 9-5
112 Temple 0 1236.88 56.02 72/156 11-11
113 George Mason 0 1233.65 53.45 77/160 10-11
114 Marquette 0 1229.31 103.47 33/188 13-1
115 Kennesaw State 0 1215.9 65.24 61/168 15-14
116 South Carolina 0 1215.21 57.32 70/160 10-15
117 Michigan State 0 1206.58 54.29 77/162 6-8
118 Kansas 0 1194.52 66.01 75/170 13-13
119 Minnesota-B 0 1193.34 80.69 64/176 15-2
120 Delaware 0 1190.05 65.93 76/182 10-10
121 Union (Tennessee) 0 1187.26 71.89 59/175 10-9
122 Johns Hopkins 0 1185.55 72.29 61/187 8-12
123 Baylor 0 1183.66 67.12 72/177 13-8
124 Liberty 0 1175.09 68.25 80/175 10-11
125 San Diego State 0 1174.54 54.1 77/166 10-14
126 Oklahoma State 0 1165.83 74.75 65/206 9-7
127 California-Santa Cruz 0 1162.66 67.02 75/182 5-11
128 UCLA 0 1156.24 64.31 83/188 11-5
129 Wheaton (Illinois) 0 1155.34 88.57 59/201 9-3
130 Lewis & Clark 0 1142.01 75.06 71/191 18-7
131 Texas-Dallas 0 1139.16 77.96 79/192 10-6
132 Akron 0 1137.28 95.97 62/235 7-6
133 MIT 0 1136.86 125.02 53/244 12-1
134 Drexel 0 1136.78 55.7 86/178 13-4
135 Messiah 0 1134.38 73.93 79/187 11-10
136 Whitman 0 1133.95 58.68 82/177 10-7
137 Cornell 0 1123.9 90.08 61/217 8-13
138 Kentucky 0 1121.23 68.75 82/201 10-11
139 Rutgers 0 1116.32 71.76 81/196 6-7
140 Knox 0 1110.55 64.8 82/197 14-6
141 North Georgia 0 1104.29 65.39 85/193 14-7
142 Georgia College 0 1104.28 56.94 93/192 11-9
143 Navy 0 1102.84 45.22 109/181 14-11
144 NYU 0 1100.28 88.27 58/231 7-9
145 Duke 0 1098.66 54.7 102/187 9-10
146 Bowdoin 0 1098.33 73.16 87/200 10-5
147 Bates 0 1090.05 58.68 93/204 13-6
148 Rice 0 1086.15 71.65 87/221 8-8
149 Vanderbilt 0 1085.46 58.68 102/200 13-9
150 Rhode Island 0 1083.69 63.04 103/208 12-7
151 Swarthmore 0 1071.59 58.31 109/198 15-6
152 Wisconsin-Eau Claire 0 1057.33 72.51 103/213 18-9
153 SUNY-Binghamton 0 1052.45 75.05 105/214 8-5
154 West Chester 0 1052.3 60.05 105/211 15-9
155 Santa Clara 0 1052.08 77.54 105/225 12-6
156 Saint Louis 0 1049.59 46.26 119/197 13-7
157 Pittsburgh-B 0 1047.27 74.99 96/215 15-6
158 Missouri S&T 0 1047.11 142.64 58/264 8-4
159 Humboldt State 0 1046.74 67.66 109/212 14-9
160 Edinboro 0 1044.28 127.72 59/258 12-7
161 SUNY-Albany 0 1042.24 89.73 89/241 8-6
162 North Carolina-B 0 1035.68 72.38 98/213 5-7
163 Missouri 0 1034.04 52.87 119/208 9-10
164 Colorado School of Mines 0 1033.66 50.67 122/199 10-9
165 Connecticut College 0 1026.92 83.53 100/235 5-6
166 New Hampshire 0 1021.33 75.49 106/219 4-9
167 Wooster 0 1020.77 86.39 80/225 5-7
168 Kalamazoo 0 1010.1 71.72 115/236 7-7
169 Macalester 0 1003.84 103.34 85/249 6-4
170 North Texas 0 989.75 42.87 141/207 11-16
171 Whitworth 0 986.73 96.38 94/237 15-6
172 Mississippi State 0 984.37 49.84 129/214 14-14
173 Chico State 0 983.55 50.17 131/216 18-7
174 Haverford 0 980.59 68.45 122/238 13-11
175 Pennsylvania 0 978.97 48.94 138/212 8-20
176 American 0 971.24 63.38 129/223 14-9
177 Alabama-Birmingham 0 955.02 54.18 133/223 8-19
178 East Carolina 0 954.84 63.15 120/238 8-16
179 Rochester 0 950.89 91.15 103/243 8-6
180 SUNY-Geneseo 0 948.73 72.43 124/241 12-3
181 Elon 0 942.9 87.36 118/242 4-9
182 Texas Christian 0 939.15 82.16 121/248 12-9
183 Occidental 0 928.53 57.79 138/228 9-8
184 Wentworth Institute of Technology 0 925.79 46.45 140/225 3-7
185 SUNY-Buffalo 0 924.53 109.04 103/270 5-8
186 Cedarville 0 920.02 74.81 123/243 8-7
187 Boise State 0 916.01 75.74 107/241 5-5
188 Florida Tech 0 914.36 60.19 142/240 14-8
189 Oberlin 0 911.22 69.43 140/249 6-8
190 Cal Poly-Pomona 0 910.18 47.09 152/223 11-6
191 Georgia State 0 909.59 53.87 152/239 8-18
192 Kansas State 0 908.04 77.06 120/254 10-9
193 Wisconsin-Milwaukee 0 907.47 77.1 139/254 4-7
194 Indiana Wesleyan 0 905.3 104.54 112/269 6-8
195 Syracuse 0 903.16 102.77 115/274 9-5
196 Northern Arizona 0 903.08 58.44 142/230 10-8
197 Army 0 892.68 115.35 110/268 7-7
198 San Jose State 0 890.21 74.19 137/250 10-6
199 Wisconsin-B 0 882.47 72.5 143/244 7-11
200 Houston 0 882.18 73.85 146/255 9-3
201 Boston University 0 880.14 139.47 83/287 5-7
202 Central Florida-B 0 879.61 70.72 126/247 12-3
203 Maryland-Baltimore County 0 865.6 68.92 148/255 4-7
204 Central Arkansas 0 860.03 82.98 143/267 9-7
205 Xavier 0 858.93 48.87 165/238 9-12
206 Valparaiso 0 852.7 57.41 158/241 11-8
207 Arkansas State 0 851.62 82.75 136/259 10-2
208 Western Michigan 0 848.5 64.17 153/251 8-4
209 Idaho 0 842.43 68.14 139/259 6-10
210 Drake 0 838.33 61.65 153/254 8-8
211 Nebraska 0 836.48 53.13 163/246 4-8
212 Miami 0 834.59 54.09 165/247 13-8
213 Colorado-Denver 0 833.76 56.27 167/246 10-10
214 Stevens Tech 0 829.94 71.32 151/257 12-7
215 Towson 0 823.28 75.25 152/260 5-13
216 SUNY-Fredonia 0 820.07 69.44 160/251 5-8
217 Bradley 0 820.06 70.53 158/258 11-11
218 Northern Iowa 0 814.21 99.85 151/279 8-3
219 Puget Sound 0 812.9 48.03 177/245 13-10
220 Truman State 0 807.57 94.11 132/283 6-13
221 North Florida 0 806.23 48.27 185/259 1-10
222 Missouri State 0 805.48 78.49 160/261 12-8
223 Rowan 0 797.87 91.41 151/278 6-6
224 Georgia-B 0 789.5 54.09 178/262 10-2
225 Harding 0 779.37 94.68 152/274 8-5
226 Olivet Nazarene 0 775.58 63.12 180/263 10-9
227 Colgate 0 775.11 78.51 161/271 10-4
228 RIT 0 764.31 79.99 161/275 5-8
229 Washington State 0 746.46 52.69 183/265 7-11
230 Ithaca 0 744.52 83.84 152/277 8-11
231 Wisconsin- La Crosse 0 743.52 66.75 185/269 9-7
232 James Madison-B 0 742.14 68.27 186/277 8-5
233 Berry 0 740 65.38 185/273 4-10
234 Catholic 0 730.43 54.08 191/270 14-7
235 Eastern Illinois 0 730.42 67.37 179/282 10-11
236 Southern Indiana 0 721.61 70.04 185/273 8-6
237 Washington-B 0 720.18 65.42 194/273 11-13
238 Texas-San Antonio 0 717.68 49.31 196/262 14-13
239 Sonoma State 0 712.75 85.11 175/287 5-5
240 Stockton 0 709.45 55.67 190/267 3-8
241 Loyola-Chicago 0 707.64 54.52 204/267 3-7
242 Rensselaer Polytech 0 696.01 71.85 191/278 8-6
243 College of New Jersey 0 682.82 97.55 175/294 7-6
244 Virginia-B 0 679.27 88.7 166/291 9-4
245 Ball State 0 675.11 57.64 201/274 11-11
246 Samford 0 670.89 49.22 216/279 3-13
247 St Olaf 0 659.91 92.5 176/292 4-10
248 Claremont 0 654.85 95.81 184/292 5-5
249 North Park 0 653 55.76 204/286 9-9
250 Dayton 0 645.37 65.99 199/286 9-3
251 St Thomas 0 644.72 79.08 197/292 5-6
252 Midwestern State 0 643.88 100.11 164/304 7-6
253 Christopher Newport 0 632 62.84 206/285 6-8
254 Delaware-B 0 630.72 94.57 180/302 14-3
255 Susquehanna 0 628.93 89.77 186/296 6-4
256 Northern Illinois 0 614.77 73.99 193/289 6-7
257 Pacific Lutheran 0 603.9 88.15 206/298 4-7
258 Denver 0 603.4 73.38 205/290 6-12
259 Trine 0 601.79 68.3 211/286 8-4
260 SUNY-Cortland 0 590.33 47.78 226/286 10-25
261 Philadelphia 0 579.24 94.93 198/311 5-7
262 Wake Forest 0 578.1 68.03 228/295 1-10
263 Wheaton (MA) 0 575.05 132.68 155/316 5-2
264 Florida-B 0 571.75 63.21 227/291 10-11
265 Georgia Gwinnett 0 569.07 78.01 191/300 3-11
266 Connecticut-B 0 561.21 74.16 218/303 10-9
267 California-B 0 560.51 68.12 213/299 3-8
268 Florida State-B 0 551.72 49.01 235/291 8-12
269 Arizona State-B 0 549.17 45.19 237/287 7-10
270 Skidmore 0 548.97 121.27 205/313 2-9
271 West Virginia 0 544.26 68 232/296 5-7
272 Marist 0 533.14 102.21 194/314 6-8
273 Texas A&M-C 0 518.25 66.47 233/302 7-9
274 Portland State 0 505.96 57.89 244/299 8-13
275 Western Washington-B 0 501.97 57.91 245/300 5-14
276 Wright State 0 496.28 64.36 246/305 9-6
277 Tulsa 0 492.56 52.05 247/298 10-12
278 Muhlenberg College 0 483.92 117.37 214/321 6-7
279 Hofstra 0 482.72 76.43 238/308 8-11
280 Dickinson 0 480.59 50.07 253/299 7-6
281 Texas-Arlington 0 480.28 69.06 248/313 3-10
282 Colorado State-B 0 461.66 53.85 254/306 6-10
283 Stephen F Austin 0 435.83 65.19 254/310 8-15
284 Miami (Ohio) 0 433.66 108.86 224/322 3-9
285 DePaul 0 426.09 53.61 256/308 4-9
286 Caltech 0 423.87 69.22 250/313 4-9
287 LSU-B 0 409.88 64.13 251/311 4-15
288 Cornell-B 0 406.11 66.98 253/314 8-8
289 California-Irvine 0 398.73 85.07 243/317 4-8
290 Texas-B 0 389.13 47.48 268/310 6-17
291 Northeastern-B 0 385.71 75.18 259/319 5-8
292 Creighton 0 378.83 86.65 255/321 5-7
293 Washington University-B 0 378.6 68.55 251/318 5-12
294 Shenandoah 0 370.19 61.54 259/314 10-8
295 Grinnell 0 369.6 76.67 244/319 2-11
296 Drury 0 359.75 67.97 262/315 6-7
297 Millersville 0 359.28 110.2 235/325 4-9
298 Salisbury 0 343.1 85.06 248/323 1-11
299 Illinois-B 0 342.37 55.58 269/317 7-12
300 Illinois-Chicago 0 330.22 69.1 267/322 6-7
301 South Carolina-B 0 318.8 90.95 260/322 7-6
302 Kent State 0 316.32 72.96 264/321 5-7
303 Northwestern-B 0 306.26 65.08 276/324 8-13
304 Toledo 0 293.63 62.25 278/319 4-7
305 Iowa State-B 0 292.08 62.77 277/321 2-8
306 Purdue-B 0 291.7 61.35 273/319 5-7
307 Wingate 0 286.27 62.32 267/322 7-5
308 Embry-Riddle (Florida) 0 270.17 76.31 270/322 3-11
309 Calvin 0 237.36 77.11 272/324 4-7
310 Reed 0 213.85 87.67 276/326 5-9
311 Oregon State-B 0 210.32 116.28 258/328 3-10
312 Arkansas-B 0 208.67 99.6 261/326 1-11
313 California-San Diego-B 0 206.14 60.43 285/322 0-10
314 Rowan-B 0 194.87 104.33 268/328 6-6
315 Clemson-B 0 167.93 55.21 300/324 0-11
316 Case Western Reserve-B 0 164.94 66.95 289/325 6-8
317 South Florida-B 0 160.94 82.17 291/326 3-11
318 George Washington-B 0 154.45 108.48 280/329 8-4
319 Georgetown-B 0 143.07 106.92 278/330 4-6
320 Franklin & Marshall 0 139.67 59.51 301/326 4-7
321 IUPUI 0 136.31 57.17 302/328 1-12
322 Cleveland State 0 -30.91 152.01 262/336 3-6
323 George Mason-B 0 -41.18 90.3 307/334 5-11
324 Princeton-B 0 -55.8 72.83 313/332 5-9
325 Lehigh-B 0 -63.28 68.74 318/332 5-12
326 Coe 0 -112.07 97.94 310/335 0-10
327 Dartmouth-B 0 -142.88 168.57 249/337 1-7
328 SUNY-Buffalo-B 0 -143.73 90 314/335 5-7
329 Washington-C 0 -153.46 131.52 304/337 3-11
330 Indiana-B 0 -197.36 93.85 320/336 0-19
331 Temple-B 0 -206.92 55.18 322/335 6-7
332 Luther-B 0 -272.05 70.02 322/336 3-8
333 Stevens Tech-B 0 -287.61 80.24 322/336 2-14
334 Pennsylvania-B 0 -386.13 107.99 324/337 5-8
335 American-B 0 -433.56 75.38 328/337 2-15
336 West Virginia-B 0 -598.07 224.86 318/338 0-11
337 Towson -B 0 -645.39 97.5 333/338 1-14
338 West Chester-B 0 -1235.36 247.83 336/338 0-11

FAQ

The uncertainty of the mean is equal to the standard deviation of the set of game ratings, divided by the square root of the number of games. We treated a team’s ranking as a normally distributed random variable, with the USAU ranking as the mean and the uncertainty of the ranking as the standard deviation
  1. Calculate uncertainy for USAU ranking averge
  2. Model ranking as a normal distribution around USAU averge with standard deviation equal to uncertainty
  3. Simulate seasons by drawing a rank for each team from their distribution. Note the teams in the top 20
  4. Sum the fractions for each region for how often each of it's teams appeared in the top 20
  5. Subtract one from each fraction for "autobids"
  6. Award remainings bids to the regions with the highest remaining fraction, subtracting one from the fraction each time a bid is awarded
There is an article on Ulitworld written by Scott Dunham and I that gives a little more context (though it probably was the thing that linked you here)