#37 William & Mary (12-4)

avg: 1479.12  •  sd: 48.84  •  top 16/20: 0%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
181 American Win 11-8 1140.9 Jan 28th Mid Atlantic Warmup
155 Johns Hopkins Win 13-6 1536.07 Jan 28th Mid Atlantic Warmup
133 Virginia Commonwealth Win 12-7 1528.39 Jan 28th Mid Atlantic Warmup
58 James Madison Win 10-9 1486.63 Jan 29th Mid Atlantic Warmup
68 RIT Win 14-13 1452.07 Jan 29th Mid Atlantic Warmup
116 Tennessee Win 14-10 1476.74 Feb 11th Queen City Tune Up1
79 Notre Dame Win 15-9 1804.63 Feb 11th Queen City Tune Up1
18 Ohio State Loss 11-14 1363.12 Feb 11th Queen City Tune Up1
52 Virginia Win 12-11 1503 Feb 11th Queen City Tune Up1
49 Case Western Reserve Win 9-8 1534.25 Feb 12th Queen City Tune Up1
90 Alabama Win 13-6 1823.49 Feb 25th Easterns Qualifier 2023
77 Cincinnati Win 12-10 1536.35 Feb 25th Easterns Qualifier 2023
64 Georgetown Loss 12-13 1219.08 Feb 25th Easterns Qualifier 2023
23 North Carolina-Charlotte Loss 8-13 1144.59 Feb 25th Easterns Qualifier 2023
41 Duke Win 13-10 1786.79 Feb 26th Easterns Qualifier 2023
17 South Carolina Loss 11-15 1311.79 Feb 26th Easterns Qualifier 2023
**Blowout Eligible

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 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
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)