Lenny Leonard wrote:
GermanMissile wrote:
Nobody breaks GF’s insane record, and Aaron Sahlman runs slower than his Clovis time, but Newbury Park breaks the State meet team points record (16), overall Woodward Park time record (73:23), and State meet margin-of-victory record (103 points over Great Oak).
Their team average time (14:41) was 10 seconds faster than any other boy ran on the course all day.
Lex, Leo, and Aaron still have 2022 to try to break the Fernandez record, but today further proved that it’s an absolute beast of a record.
“Margin of victory” record is kinda of odd. Wouldn’t it be more impressive if the margin of victory were lower? If your margin is really high, then it means you had softer competition.
Winning 16-39 is more impressive than 16-109.
No, margin of victory is a legitimate record and more is always better. Due to the Law of Large Numbers, we can assume that the rest of the field is going to produce a #2 team with a more consistent ability/performance than the #1 team, if that makes sense. So if the difference is very large between #1 and #2, we can assume it is likely due to the #1 team being very good rather that the whole rest of the field failing to produce a good number #2. This will make much more sense if you are familiar with the concept of a bell curve or normal distribution.
The ability of each team as you go from best to average will become more and more predictable as you go along, if that makes sense. For example the team score of the #1 has a high level of natural variation, it will vary a lot year by year. The score of the 7th place team, for example, will be within 10 points of its average almost every year. So since the number two team experiences slightly less variability, we can pretty much treat it like it is a constant. So if the margin of victory is large its from the number 1 team, not the number 2 team, the 2 team is always more stable.
I feel like I just said the same thing twice, but whatever, hopefully one of them made sense.
And you are right to some degree, because margin of victory over 2nd place is not really the best measurement, its totally possible that every single team was exceptionally bad one year, and one team was just kinda good, but it resulted in a huge margin of victory (even though as explained above it is still more likely that the difference comes from the abillity of the first place team). A much better metric would be how far the winning team was away from the average score. That metric would be very safe from natural ability as the average of all the teams hardly varies at all by year, so virtually all of the difference would be explained by the winning teams ability.