#304 Western Michigan (3-13)

avg: 665.74  •  sd: 96.44  •  top 16/20: 0%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
294 Ball State Win 13-10 1042.75 Mar 15th Grand Rapids Invite 2025
203 Eastern Michigan Loss 5-12 443.18 Mar 15th Grand Rapids Invite 2025
142 Pittsburgh-B** Loss 4-15 684.99 Ignored Mar 15th Grand Rapids Invite 2025
221 Michigan-B Win 12-11 1104.37 Mar 16th Grand Rapids Invite 2025
179 Ohio Win 12-8 1592.36 Mar 16th Grand Rapids Invite 2025
150 Toronto Loss 7-15 662.59 Mar 16th Grand Rapids Invite 2025
203 Eastern Michigan Loss 4-13 443.18 Mar 29th King of the Hill 2025
242 Grace Loss 6-12 316.79 Mar 29th King of the Hill 2025
268 Michigan State-B Loss 8-9 674.33 Mar 29th King of the Hill 2025
270 Valparaiso Loss 4-13 196.4 Mar 29th King of the Hill 2025
203 Eastern Michigan Loss 6-10 547.02 Apr 12th Michigan D I Mens Conferences 2025
157 Grand Valley Loss 5-9 703.52 Apr 12th Michigan D I Mens Conferences 2025
26 Michigan** Loss 1-13 1303.48 Ignored Apr 12th Michigan D I Mens Conferences 2025
61 Michigan State** Loss 4-13 1036.07 Ignored Apr 12th Michigan D I Mens Conferences 2025
203 Eastern Michigan Loss 6-14 443.18 Apr 13th Michigan D I Mens Conferences 2025
61 Michigan State** Loss 4-15 1036.07 Ignored Apr 13th Michigan D I Mens Conferences 2025
**Blowout Eligible

FAQ

What is the uncertainty of the mean?
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
What's the algorithm again?
  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 16 (club) or top 20 (college)
  4. Sum the fractions for each region for how often each of it's teams appeared in the top 16 (club) or top 20 (college)
  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
Is there a longer explanation of all this?
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)