#60 Middlebury (12-6)

avg: 1578.03  •  sd: 62.67  •  top 16/20: 0%

Click on a column to sort  • 
# Opponent Result Game Rating Status Date Event
235 Air Force** Win 13-3 1370.77 Ignored Mar 4th FCS D III Tune Up 2023
130 Messiah Win 13-7 1809.83 Mar 4th FCS D III Tune Up 2023
84 Richmond Loss 9-11 1200.71 Mar 4th FCS D III Tune Up 2023
81 Whitman Win 13-5 2064.12 Mar 4th FCS D III Tune Up 2023
182 Berry Win 13-11 1242.72 Mar 5th FCS D III Tune Up 2023
126 Franciscan Win 12-10 1505.72 Mar 5th FCS D III Tune Up 2023
164 Butler Win 13-4 1700.88 Mar 5th FCS D III Tune Up 2023
14 Carleton College Loss 6-13 1449.87 Mar 18th Centex 2023
91 Tulane Win 13-8 1926.35 Mar 18th Centex 2023
54 Northwestern Loss 9-13 1197.62 Mar 18th Centex 2023
39 Florida Loss 10-13 1413.28 Mar 18th Centex 2023
112 Illinois Win 15-8 1880.79 Mar 19th Centex 2023
51 Virginia Win 11-10 1760.46 Mar 19th Centex 2023
39 Florida Loss 14-15 1616.42 Mar 19th Centex 2023
40 Colorado College Loss 10-11 1610.34 Mar 19th Centex 2023
140 Cedarville Win 10-9 1313.18 Mar 25th Needle in a Ho Stack2
- High Point** Win 15-6 1281.67 Ignored Mar 25th Needle in a Ho Stack2
256 North Carolina State-B** Win 15-1 1314.24 Ignored Mar 25th Needle in a Ho Stack2
**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)