Attached to this post is an adjusted Top 25 ranking set based on a BCS-style evaluation of competitive data as well as human polling.
For reference purposes, I have used the following calculations to arrive at the final average by which the teams are rank-ordered.
Initial Computer Average:
Weights winning percentage based on combined strength and average margin of victory. Adds winning percentage for previous season's national championship tournament to account for some element of past performance.
CPU:
Standardizes Initial Computer Average based on the mean and standard deviation of that data for all teams on which data is available.
POLL:
Standardizes vote totals from both the most recent Power Poll and Prognosticator rankings for each program based on the mean, standard deviation, and given the large amount of zeroes in that data set, skewness for all teams on which data is available. For the purposes of the Prognosticator ranking, the team's ranking in the Fine Fifty is reverse-ordered and translated into a vote (1st place = 50 votes, 2nd place = 49 votes, etc.)
Final Average:
Sum of standardization of CPU and POLL data. Prior to National Championship tournament, this number will be adjusted to compensate for strength of tournaments attended by each team. These calculations have been withheld currently due to the need to adjust numbers based on continuing performance by all participating programs.
All statistical data that underlies these rankings has been compiled based on publicly posted tab summaries (via the AMTA website and Deliberation Room postings) that include all the relevant numbers. As far as I am aware, this requirement has excluded the results of the 1st Annual Norse Invitational as well as, regrettably, the NYU Downtown Invitational. If any individuals have tab summaries for those or other invitationals not available at those locations, please forward them to me so I can update the rankings for comprehensiveness prior to the resumption of the season in January.
Comments and questions regarding rankings and methodologies are welcome, as I hope to improve the accuracy and validity of the rankings as much as possible as the season goes forward, and in particular looking ahead to future seasons.
DR_Initial.xlsxDR_Initial.xls
- Kevin Harrison
1. Won't programs with many teams have the performances of their top teams dragged down by their lower teams?
2. It's exam week, so I know you have better things to do than revise and update this thing.
3. Also, don't I at least get a nod for having the idea to use standard deviations?