#55 Williams (28-2)

avg: 1749.57  •  sd: 46.49  •  top 16/20: 0%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
142 Bryant Win 12-5 1940.78 Feb 10th UMass Invite 2024
272 Rowan** Win 13-1 1456.78 Ignored Feb 10th UMass Invite 2024
108 Vermont-B Win 9-8 1600.03 Feb 10th UMass Invite 2024
136 Wesleyan Win 12-9 1714.28 Feb 10th UMass Invite 2024
199 Connecticut College** Win 15-5 1725.75 Ignored Feb 11th UMass Invite 2024
76 Massachusetts -B Win 13-11 1839.34 Feb 11th UMass Invite 2024
131 Yale Win 10-6 1875.53 Feb 11th UMass Invite 2024
80 Bates Win 13-8 2087.12 Mar 2nd No Sleep till Brooklyn 2024
191 NYU Win 12-7 1677.32 Mar 2nd No Sleep till Brooklyn 2024
300 SUNY-Stony Brook** Win 13-1 1314.83 Ignored Mar 2nd No Sleep till Brooklyn 2024
102 Connecticut Win 11-10 1620.12 Mar 3rd No Sleep till Brooklyn 2024
25 Middlebury Win 12-10 2242.19 Mar 3rd No Sleep till Brooklyn 2024
120 Syracuse Win 12-8 1844.42 Mar 3rd No Sleep till Brooklyn 2024
131 Yale Win 13-9 1797.94 Mar 3rd No Sleep till Brooklyn 2024
30 Ottawa Loss 10-12 1702.56 Mar 23rd Carousel City Classic 2024
117 Rochester Win 12-11 1552.33 Mar 23rd Carousel City Classic 2024
103 SUNY-Binghamton Win 13-8 1987.8 Mar 23rd Carousel City Classic 2024
201 MIT** Win 15-4 1716.71 Ignored Mar 24th Carousel City Classic 2024
314 Clark** Win 15-5 1262.41 Ignored Apr 13th South New England D III Mens Conferences 2024
238 Roger Williams** Win 15-5 1589.45 Ignored Apr 13th South New England D III Mens Conferences 2024
312 Western New England** Win 15-5 1273.67 Ignored Apr 13th South New England D III Mens Conferences 2024
189 Worcester Polytechnic Institute Win 12-5 1759.5 Apr 13th South New England D III Mens Conferences 2024
142 Bryant Win 15-8 1905.58 Apr 14th South New England D III Mens Conferences 2024
189 Worcester Polytechnic Institute Win 13-8 1655.66 Apr 14th South New England D III Mens Conferences 2024
115 Bowdoin Win 14-8 1972.97 May 4th New England D III College Mens Regionals 2024
225 Colby Win 15-7 1635.69 May 4th New England D III College Mens Regionals 2024
218 Middlebury-B Win 13-9 1473.28 May 4th New England D III College Mens Regionals 2024
308 Stonehill Win 15-8 1246.73 May 4th New England D III College Mens Regionals 2024
80 Bates Win 10-6 2087.12 May 5th New England D III College Mens Regionals 2024
25 Middlebury Loss 9-15 1488.59 May 5th New England D III College Mens Regionals 2024
**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)