#37 William & Mary (9-3)

avg: 1417.78  •  sd: 108.42  •  top 16/20: 5.3%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
142 Christopher Newport Win 13-7 1039.2 Jan 25th Mid Atlantic Warm Up 2025
187 Navy** Win 13-0 382.02 Ignored Jan 25th Mid Atlantic Warm Up 2025
162 Pennsylvania** Win 13-3 882.37 Ignored Jan 25th Mid Atlantic Warm Up 2025
95 Vermont-B Win 13-7 1477.96 Jan 25th Mid Atlantic Warm Up 2025
82 Carnegie Mellon Win 15-9 1543.77 Jan 26th Mid Atlantic Warm Up 2025
80 James Madison Win 14-9 1511.32 Jan 26th Mid Atlantic Warm Up 2025
88 Richmond Win 13-8 1468.89 Jan 26th Mid Atlantic Warm Up 2025
17 Chicago Loss 12-13 1533.71 Feb 15th Queen City Tune Up 2025
7 Tufts Loss 12-13 1712.36 Feb 15th Queen City Tune Up 2025
39 Maryland Loss 12-13 1281.56 Feb 15th Queen City Tune Up 2025
87 North Carolina-Charlotte Win 10-7 1364.05 Feb 16th Queen City Tune Up 2025
74 Michigan State Win 9-8 1223.95 Feb 16th Queen City Tune Up 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)