Statistics for week 3

[Bongle]

Stats in Aggregate
These include ALL the matches played in all the regionals so far. The previous post was just the qualifying matches for the week that just finished.

Definition: Average alliance number: If you have an alliance with robot numbers b1,b2, and b3, then the average alliance number if (b1+b2+b3)/3. That is, it is the average of the 3 robot numbers that make it up.

teamNumVersusScoreAggr.png - the average alliance number versus the score they achieved. As you can see, this correlation is holding true even with 1200 matches. Teams with lower numbers tend to score more, because they tend to be more experienced.

differentialAggr.png - the win rate versus the difference in two competing alliances' average team numbers. If you have an alliance with (40,50,60) playing against an alliance with (1400,1500,1600), then the DIFFERENCE (as measured here) is 1450. So this looks at the win rate for the set of all matches with a given difference. If you see a match where the average alliance numbers of the competing teams differ by 1000, then you can look on this chart and see that there is a 35% chance the team with the higher average number will win. Hehe, they're almost doomed.

prevnextAggr.png - the score achieved in a team's (n+1)th match given their performance in their nth match. From this, we can tell that if a team scored 50 in one match, then their next match score has a 50% chance of being between about 18 and 45. See my week 2 thread for more details on how to read a boxplot, and more details on how to read this particular chart.

matchNumberAggr.png - the score achieved versus the match number that it was scored it. Notice that there really isn't that much of a trend upwards, which kinda surprised me. You'd think that there would be a strong tendency upwards as teams figure things out or upgrade their robot and tactics.