NAQT computes “D-Values” to issue invitations to its Intercollegiate Championship Tournament (ICT) and Community College Championship Tournament (CCCT) to teams that did not qualify automatically. The inputs to the D-Values are teams’ performances at the Sectional Championship Tournaments (SCTs) and Community College Sectional Championship Tournaments (CC SCTs).
D-Values are calculated to compare the performance of teams that competed at different qualifying tournaments.
The system is based on, and named for, a proposal by former NAQT writer Dwight Wynne, who played quiz bowl at Capistrano Valley High School, UCLA, and UC-Irvine.
This page describes the original calculation of D-Values, which was in use from 2010 to 2017. It was also used for the 2018 CC SCTs, but has been superseded.
The system makes use of these statistics:
- TUPPTUH: Tossup points per tossup heard. This is found for a team by computing each game’s tossup points per tossup heard and averaging those values.
- BHPTUH: Bonuses heard per tossup heard. This is found for a team by computing each game’s total correct tossups per tossups heard and averaging those values. Note that this computation includes overtime tossups that didn’t actually result in bonuses being heard in that particular game.
- PPB: Bonus points per (actual) bonus heard.
- TUPPTUHopp: The average TUPPTUH values for the team’s opponents (weighted by number of games played).
- TUPPTUHavg: The average TUPPTUH value for every team that competed at any SCT. That is, this is a global average incorporating results from all SCTs, not just a single tournament.
- SOS: The strength of schedule played by the team. This equals the team’s TUPPTUHopp divided by TUPPTUHavg.
- DCT: A correction factor to TUPPTUH and BHPTUH for teams that played in combined fields on the wrong packet set. It is 0.9 for Division I teams that played on Division II questions and 1.11 for Division II teams that played on Division I questions.
- DCB: A correction factor to PPB for teams that played in combined fields on the wrong packet set. It is 0.7 for Division I teams that played on Division II questions and 1.43 for Division II teams that played on Division I questions.
- Adjusted TUPPTUH: The team’s adjusted TUPPTUH, as if it were playing average teams on the proper questions. This equals the team’s TUPPTUH times its SOS times its DCT.
- Adjusted BHPTUH: The team’s adjusted BHPTUH, as if it were playing average teams on the proper questions. This equals the team’s BHPTUH times its SOS times its DCT.
- Adjusted PPB: The team’s adjusted PPB, as if it were playing on the proper questions. This equals the team’s PPB times its DCB.
The team’s raw D-Value is computed to simulate the points it would score in a 20-tossup game against average opponents. It equals
20 × (Adjusted TUPPTUH + Adjusted BHPTUH × Adjusted PPB)
After the raw values are computed, they are listed in order for each SCT and a correction is applied to ensure that invitations do not break the order of finish at an SCT. Starting at the top of each SCT, each team is checked to see if it finished above one or more teams with higher D-Values. If it did, then that team and every team between it and the lowest team with a higher D-Value are given the mean D-Value of that group and ranked in order by their finish (and, if still tied, by raw D-Value).
After those order-of-finish corrections are applied for each SCT, the rankings are combined into a single list for each division.
The raw data for the teams and the computed values will be posted on NAQT’s website.