[Bongle]

Ok, rather than spamming with a few billion lines of text, I'll just do the summaries:

There are three main stats here:
Competitior Pool Size - The size of the set of all robots a given team played against
Ally pool size - The size of the set of all robots a given team played with
Opponent pool size - The size of the set of all robots a given team played against

All the pool sizes are given as a percentage of how many robots were at that regional. That way, you can say "ooo, at St Louis last year I could expect to play with or against 88.5% of the robots at the regional". Note that the lower numbers for the bigger regionals is predictable, since the more robots you have at a regional, the fewer matches you'll have and therefore less chance to 'meet' them all (also its a bigger pool to meet from anyway).


2006 - Aim High
NASA VCU Regional
Average Matches Played: 8
Robots at regional: 64
Competitor Pool Avg Size: 60.6%
Ally Pool: 26.5%
Opponent Pool: 36.6%

Pacific Northwest Regional
Average Matches Played: 10
Robots at regional: 46
Competitor Pool Avg Size: 83.7%
Ally Pool: 43.1%
Opponent Pool: 54.8%

Great Lakes Regional (I know it hasn't happened this year yet, but its hard to find 2006 results)
Average matches played: 8
Robots at regional: 63
Competitor Pool Avg Size: 61.3%
Ally Pool: 26.9%
Opponent Pool: 36.6%

St Louis Regional
Average matches played: 12
Robots at regional: 40
Competitor Pool Avg Size: 88.5%
Ally Pool: 54.1%
Opponent Pool: 66.5%

2007 - Rack n Roll with fun happy matching algorithm
NASA VCU Regional
Average Matches Played: 8
Robots at regional: 66
Competitor Pool Avg Size: 36.3%
Ally Pool: 25.7%
Opponent Pool: 26.2%

Pacific Northwest Regional
Average Matches Played: 8.1
Robots at regional: 54
Competitor Pool Avg Size: 44.4%
Ally Pool: 31.4%
Opponent Pool: 32.0%

Jersey Regional
Average Matches Played: 7.2
Robots at regional: 59
Competitor Pool Avg Size: 40.3%
Ally Pool: 25.8%
Opponent Pool: 23.8%

St Louis Regional
Average matches played: 8.6
Robots at regional: 45
Competitor Pool Avg Size: 52.4%
Ally Pool: 39.3%
Opponent Pool: 36.4%

So as you can see, the # of robots you meet in gameplay drastically dropped from previous years. Something I noticed though is that there has to be substantial overlap between the ally and opponent sets in 2007*, something that wasn't present in 2006. This means that much more than in previous years, teams would face one team as an opponent as well as play with them as an ally.

*That is to say, summing the size of the ally and opponent sets in 2006 results in a number only barely larger than your total competitor size, implying that few robots are in both ally and opponent sets. In 2007 however, ally + opponent is often much larger than the competitor pool.

Also note that St Louis's big drop is probably helped by the fact that more robots came to it, AND they ran far fewer matches than last year.