#46 Middlebury (14-5)

avg: 1597.79  •  sd: 53.66  •  top 16/20: 0%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
120 Connecticut Win 10-7 1568.69 Mar 1st UMass Invite 2025
68 Wesleyan Win 12-9 1776.68 Mar 1st UMass Invite 2025
152 Tufts-B Win 13-3 1646.42 Mar 1st UMass Invite 2025
115 Vermont-B Win 10-7 1584.38 Mar 1st UMass Invite 2025
120 Connecticut Win 12-8 1620.18 Mar 2nd UMass Invite 2025
73 Williams Win 12-9 1730.46 Mar 2nd UMass Invite 2025
76 Colorado College Loss 8-10 1107.04 Mar 15th Mens Centex 2025
66 Dartmouth Win 13-7 2009.78 Mar 15th Mens Centex 2025
40 Wisconsin Loss 9-13 1209.44 Mar 15th Mens Centex 2025
17 Tufts Loss 7-9 1617.67 Mar 15th Mens Centex 2025
66 Dartmouth Loss 14-15 1327.25 Mar 16th Mens Centex 2025
77 Iowa State Win 15-12 1650.52 Mar 16th Mens Centex 2025
100 Missouri Win 13-3 1865.35 Mar 16th Mens Centex 2025
171 Dickinson** Win 13-3 1553.2 Ignored Mar 29th Easterns 2025
78 Richmond Win 13-10 1676.17 Mar 29th Easterns 2025
68 Wesleyan Win 13-8 1927.47 Mar 29th Easterns 2025
144 Bates Win 15-9 1575.04 Mar 30th Easterns 2025
45 Elon Loss 10-14 1206.34 Mar 30th Easterns 2025
78 Richmond Win 13-10 1676.17 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)