#36 Michigan (7-6)

avg: 1652.78  •  sd: 90.73  •  top 16/20: 1.4%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
61 Alabama-Huntsville Win 12-9 1809.71 Jan 31st Florida Warm Up 2025
56 Cornell Win 11-8 1889.55 Jan 31st Florida Warm Up 2025
79 Florida Win 11-8 1713.49 Jan 31st Florida Warm Up 2025
103 Texas A&M Win 11-10 1365.66 Feb 1st Florida Warm Up 2025
1 Massachusetts Loss 7-13 1701.57 Feb 1st Florida Warm Up 2025
15 Washington University Loss 8-13 1455.47 Feb 1st Florida Warm Up 2025
20 Vermont Win 12-11 1983.08 Feb 2nd Florida Warm Up 2025
17 Tufts Win 13-9 2315.57 Mar 29th Easterns 2025
20 Vermont Loss 9-13 1439.51 Mar 29th Easterns 2025
31 Minnesota Loss 5-13 1113.47 Mar 29th Easterns 2025
3 North Carolina Loss 3-13 1606.12 Mar 29th Easterns 2025
64 James Madison Loss 11-13 1228.54 Mar 30th Easterns 2025
28 Pittsburgh Win 13-11 1993.57 Mar 30th Easterns 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)