Re: Offense/Defense rankings for 1043 teams
 

Here is a link for some individual robot scoring at West Michigan and Chesapeake.

Individual Scoring Thread

Re: Offense/Defense rankings for 1043 teams
 

Here is the way I determine whether a team is carried or is carrying the alliance.

1. Compute all team's average score for the event
2. For each match, compute the average of Team X's alliance partners mean score across the event. Find the difference between that particular match score, and the new calculated average. Keep track of this number for every team in every match.
3. Sum all of the calculated differences for each team together, and divide by the amount of matches they played in.

This should give you a pretty normal distribution of teams centered around 0. If the team is carried, they should get a negative score based on the other teams in the alliance average scores. The team in question's position on the normal curve shows how well they did.. the farther to the right the better. The standard deviation and sample density tell you how hard the event actually was.

Re: Offense/Defense rankings for 1043 teams
 

Here's the actual excel sheet. You'll have to disable macro security if you want to run the calculator. To only list teams going to atlanta, append an 'a' to whatever you enter into the input box at the beginning

http://www.student.cs.uwaterloo.ca/~...eamRanking.xls

It is possible that 121 only went to regionals that don't have match results posted. For some reason there are regionals that had match results last week or two weeks ago, but don't have them anymore.

Re: Offense/Defense rankings for 1043 teams
 

Let's do a little linear algebra. :D

Start with the assumption that each robot, on average, will contribute a certain number of points to their alliance's total in the matches that they play. The goal is to try to find that number for each robot using just the data from match scores.

Call the number of points on average a team contributes to their alliance's score their "offensive power rating". Let the vector of offensive power ratings be p. p is what we are trying to find.

Let s be the vector of the total points for each team at the competiton (the sum of the points scored by their alliance in their matches).

We can also create an nxn matrix (where n teams are competing in the regional) that represents the schedule for the regional. Call this matrix M. Define M as follows: M(ji)=M(ij)=the number of matches team i plays on an alliance with team j. Also let M(ii) be the number of matches that the ith team plays in total.

Fixing i=k and summing over j, M(k1)p(1)+M(k2)p(2)+...+M(kn)p(n) should equal s(k) be the number of points the kth team's alliances score at the competition. In other words, Mp=s.

Can we can solve for p here? Yes, because M will always be nonsingular (unless one team plays all of its matches with another team).

I broke everything down regional-by-regional, because many teams who perform poorly at one regional do very well in the next.

And the winners are:

Team Offensive Power Rating Regional
1114 62.31 Waterloo
25 61.74 Las Vegas
469 51.31 Detroit
233 50.55 Boston
25 50.21 Trenton
1126 48.38 FingerLakes
1114 47.04 GLR
175 46.48 Annapolis
987 45.52 Arizona
111 45.22 Wisconsin

Mean is 10.14, Median is 8.46.

I did not include elimination rounds. Nor did I include GTR, SBPLI, UTC, or BAE (missing or no match data). I will share all the offensive ratings with anyone who asks. Defensive ratings can be done in a similar fashion but your results will not really tell you who the good defensive robots are (i.e. the defensive ratings will be useless). I would appreciate results for the regionals I am missing.

Re: Offense/Defense rankings for 1043 teams
 

didnt want it to appear as if i was shouting, simply wanted to point out the obvious, sorry

Re: Offense/Defense rankings for 1043 teams
 

Sorry, but I am having a hard time understanding (maybe it's just because it's 2 Am here)

Our team is in first place in the "top defence finals only"

Is this good or bad? what does it mean? and what is the for/against?

David

Re: Offense/Defense rankings for 1043 teams
 

for: avg. points your bot scored per match,
against: points on average scored against your bot per match

the finals: i think it means using alliance scores from elimination matches only

its a good thing, 1577 is considered the best defensive bot