#57 Penn State (5-8)

avg: 1224.92  •  sd: 62.21  •  top 16/20: 0%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
35 SUNY-Binghamton Loss 8-13 993 Feb 25th Commonwealth Cup Weekend2 2023
95 Columbia Win 10-8 1195.98 Feb 25th Commonwealth Cup Weekend2 2023
10 Northeastern** Loss 3-13 1410.32 Ignored Feb 25th Commonwealth Cup Weekend2 2023
14 Virginia Loss 8-12 1367.48 Feb 25th Commonwealth Cup Weekend2 2023
35 SUNY-Binghamton Loss 3-12 889.16 Feb 26th Commonwealth Cup Weekend2 2023
34 Michigan Win 11-10 1622.72 Feb 26th Commonwealth Cup Weekend2 2023
16 Yale Loss 5-13 1143.49 Feb 26th Commonwealth Cup Weekend2 2023
130 Liberty Win 13-6 1230.2 Mar 25th Rodeo 2023
21 North Carolina State Loss 4-13 1041.53 Mar 25th Rodeo 2023
64 Williams Win 12-7 1669.01 Mar 25th Rodeo 2023
28 South Carolina Loss 9-11 1292.15 Mar 26th Rodeo 2023
25 Duke Loss 9-13 1150.18 Mar 26th Rodeo 2023
142 North Carolina-B Win 13-8 1064.4 Mar 26th Rodeo 2023
**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)