Does Anyone Know The Answer????

[archiver]

Posted by Jerry Eckert, Engineer on team #140 from Tyngsboro, MA High School and New England Prototype/Brooks Automation.

Posted on 3/30/99 12:07 PM MST


In Reply to: Is this real evidence or just coincidental? posted by Jon on 3/30/99 11:49 AM MST:



: Ok, here's another way to look at it...
: we are guessing about 220 teams at the nationals, and we are working under the assumption that there will be 2 stages each with 2 fields on it,therefore we have come to the conclusion that 8 teams should be playing at one point and that we can reasonably expect about twice as many Qmatches as at the regionals
: for a total close to 170.
: this leads into my view:

: 220 teams / 8 teams per match = 27.5 MPRs (Matches per total Roster), this is the number of matches needed for all the teams to play once (mathematically speaking, of course).
: Jeff's theory says that we should get about 6 matches, and 27.5 MPRs * 6 (guessed matches) = 165 matches total!
: that's pretty close to the ideal '2X fields = 2X QMs' argument

: after turning this in my head so many times i can't tell if i've come up with some definitive results or if i'm just twisting the numbers to fit...

Jon,

You made the same error Jeff did -- only four teams compete in each match.
You've included the 2x factor twice: once in calculating the MPR and once
in multiplying the number of fields.

Using Hartford for comparison, there are 2x as many fields and thus 2x
as many total qualifying matches (164 vs. 82). However, there are
over 5x as many teams competing (220 vs. 41). Thus, each team would get
40% (2/5) as many qualifying matches (approx. 3 vs. 8).

N.B. I am NOT claiming there will be only 3 qual matches per team
at Disney, only demonstrating the proper way to scale the
schedule from the regionals to account for multiple simultaneous
matches.

Clear as mud?

- Jerry