#7 Michigan (9-3)

avg: 2568.61  •  sd: 98.88  •  top 16/20: 100%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
28 Georgia Win 13-6 2661.57 Feb 15th Queen City Tune Up 2025
123 Northwestern** Win 13-0 1742.51 Ignored Feb 15th Queen City Tune Up 2025
62 North Carolina State** Win 13-2 2251.53 Ignored Feb 15th Queen City Tune Up 2025
28 Georgia Win 11-2 2661.57 Feb 16th Queen City Tune Up 2025
49 William & Mary** Win 11-2 2413.92 Ignored Feb 16th Queen City Tune Up 2025
5 Oregon Win 12-11 2869.32 Mar 22nd Northwest Challenge 2025
13 Stanford Loss 8-11 2109.47 Mar 22nd Northwest Challenge 2025
22 Western Washington Win 12-9 2596.04 Mar 22nd Northwest Challenge 2025
1 British Columbia Loss 9-12 2656.93 Mar 23rd Northwest Challenge 2025
14 Cal Poly-SLO Win 10-7 2832.76 Mar 23rd Northwest Challenge 2025
8 Washington Win 9-8 2652.69 Mar 23rd Northwest Challenge 2025
6 Vermont Loss 6-11 2124.5 Mar 23rd Northwest Challenge 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)