Revised DYC PHRF High Points Results
Explanation
While analyzing this year's results for input into the Year End Awards, the
Chief Scorer noticed that the High Points were not calculated correctly.
The Race Instruction states: "The High Point Series consists of 31
scheduled races of which a yacht must compete in 10 races to be eligible
for High Point standing. One throw-out is allowed for every 6 races. Throw-outs
will be determined by the Chief Scorer to achieve the highest possible score
for the yacht. Each yacht is scored one point for starting, plus one point
for finishing, and one point for each starting yacht it beats. Each yacht's
total score is divided by the sum of total number of yachts starting in each
race the scored yacht started plus one point for each scheduled race (i.e.,
31). The highest score at the end of the series wins. Awards will be presented
for both fleet and overall standing in the High Point Series. ".
There were two problem areas:
(1) In the denominator, there is supposed to be the number of boats that
started plus the number of races scheduled (31). However, the logic in the
scoring algorithm only used the number of races completed (25). This resulted
in position swaps in several areas.
(2) The algorithm for determining the throwouts to achieve the best possible
score was not 100% correct. While it did do a good job, there are cases where
it does not maximize the score. Due to the nature of the formula [ (number
of points ) / (number of boats + races scheduled) ], a single closed form
solution for picking the throwouts is not possible. To complicate matters,
the race instruction states "One throw-out is allowed for every 6
races." It is not required that all throwouts be used. Depending on
the actual yacht's scores (different for overall and class) and number of
races competed, the best score may result from using a number of throwouts
less than the maximum allowed for each yacht. This appear to be
"counter-intuitive" and required a "brute force" check of all possible
combinations to actually determine the number and values for the throwouts.
These issues were discussed with the Race Committee 11/3/2003 to verify the
understanding of the instructions. The revised scores resulted. Hopefully
there are no other problems in the scoring for this year.
Please note that the throw out values are enclosed in "{}". Note that in
almost all cases, a single point change in either the numerator or denominator
would affect the 2nd decimal place. There are several positions in the overall
standings where the difference in score is much less than a single point
change. In one case (10 & 11) is it only 0.0013, in another (2 &
3) it is only 0.0025, and yet in another (7 & 8) is it only 0.0090!
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