Quote:
Originally Posted by Strants
Couldn't you find the per-match Tote/Auto/Litter/Coopertition/Containter/Foul from the system of equations
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No. You can't find the
per-match scores for Coop, Auto, RC, Tote, and Litter from the data FIRST provides.
You
can find an
estimate for the
OPR for each of those scoring components as follows:
If [A] is the 2MxT binary matrix of the alliances (constructed from the match schedule), and [d] is the Tx5 vector of the Team Rankings component scores Coop, Auto, RC, Tote, and Litter, where M is the number of matches and T is the number of teams, then the OPRs for Coop, Auto, RC, Tote, and Litter can be computed by solving the system of Normal Equations
[A
T][A][OPR] = [d]
... for [OPR]
In fact, that's how it's currently being done this year (with some additional tweaking to account for surrogates and DQ's).