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Rank vs. blue banner chance
This is something I have been thinking about for awhile now. what would a graph look like that plotted your seeding rank vs. your chance to be on the winning alliance?
Does seeding first actually give the highest chance of winning? (and by how much?) Who has a higher chance of winning, 7th seed or 8th seed? Is seeding higher really always better, and if not, are there circumstances where throwing a match give you a higher chance of winning the regional? Unfortunately, I don't know how to compile the FRC/TBA data to make a graph like this. Is there anyone else who would be interested enough to do it? |
Re: Rank vs. blue banner chance
This has the data you are looking for this year. If you search through the white papers or through the thread, you can probably find similar documents.
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here is a quick graph. I'm going to work on seed next (not alliance, but after qualifications are over)
http://imgur.com/lqUiA6i |
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Courtesy of the 2834 scouting database. Qualification seeding rank on the left, number of event winning teams on right.
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1 51My total number of event winners was 313, which is not divisible by 3, probably due to backup teams. It is interesting that the number of 4th seed winners exceeds the number of 3rd seed winners by an appreciable margin. I wonder what could cause that? It might just be noise though, I'll add in results from the past few years tomorrow. |
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If you thinking about throwing a match, don't. Especially if your alliance partners don't want to lose, then if your trying to throw the match and their trying to win, then they have to compete against 4 robots instead of 3. And plus one of the big points of 2014 was to encourage cooperation between teams. It is just not in the spirit of FIRST to throw a match. Secondly as an alliance captain for elims, and I see that a team threw a match, I don't want them on my alliance because that team is just in it for themselves and not the alliance. Some food for thought.
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On the flip side, there have been years where the seeding points were awarded based on the losing team's score, thus incentivizing the winning alliance to not play as well, or even score for the other alliance. |
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If I knew we had lost a match because an alliance member determined it was better for them to lose, there is no word in the English dictionary to describe my disgust. |
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Here is the data from 2011-2014. The top 8 are roughly what I had anticipated. 5th seed won more frequently than 4th seed, and 7th seed won more frequently than 6th seed, but not by any substantial margin.
What I find interesting is that any seed between ~8 to ~30 has (very) roughly the same number of event winning teams as any other seed within this range. |
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With the thread entitled Rank vs Blue banner chance, I would love to see a list of teams this year who won a Chairman's Award and what their rank was, since that is also a blue banner :D
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I think that James makes an interesting point about rank vs. chairman award. I wonder if there is something to be said about building a robot that can play the game but then focusing on chairman award submission. Rather than a super competitive bot, a super strong chairman's submission. I personally don't think that that is the way to go, but is there some validity to this strategy? I don't know.
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Thanks for the chairman's rankings. I guess it seems that the top teams on the field are the top teams off the field as well. I would have expected more winners outside the top 8. But very interesting. I think answered my question. Very interesting results.
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Just a programmer's 2 cents, try using the D3.js library to visualize data from TBA. It's very extensible and slick.
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Disclaimer: When I say throwing a match would be helpful I don't mean that you should do it, I just wanted to know if statistically there are times where you would be in a better position if you threw the match.
Now back to the thread. Thanks inkling! That's exactly what I was looking for. You can make some interesting observations from those graphs, for instance, I didn't realize how much more likely a #1 seed is to win than a #2 seed. I also think that the graph does show that there is really no situation where throwing a match would be helpful.* And even if it would be, most good teams would see that you threw the match and wouldn't pick you anyway. *(unless maybe you are #15 and you can drop exactly 2 spots.) |
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There is a nice correlation between ranking high and number of Chairman's or EI wins. The data for RAS are much more scattered. I'm not sure that the RAS graph actually says much of anything. Looking at this graph without fully understanding it might imply that it is better for rookies to seed lower at an event if they want to win RAS. However, that would be a false conclusion since rookies are generally not uniformly distributed throughout the seeds at an event. EDIT: mislabeled axes, see next post |
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I mislabeled the axes on the spreadsheet from my last post.
This one makes more sense. |
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Chairman's teams are amazing. I listen to the regional awards and it's amazing the things they do. Homeless, elderly, cancer, disabled, learning, other countries .... Roboteers Rock! |
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I think you can judge the 3 team engagement and/or ranking system by how high the #1 position is. For instance, 2011 (0.66) and 2012 (0.61) were games that could usually be won by 2 really good bots. I am not saying the 3rd did nothing, they were just a significantly lower contributor, and weren't as required to do well (ignoring World champions which had an incredibly influential 3rd partner). For the 2013 (0.56) game, a powerful 3 could overcome a very strong 2 which shows a dip in that probability of the #1 spot as well as the #2 spot. 2014 was even lower with the #1 dipping below 50% (0.49). This is likely the first time since 3v3 that this has occurred. This also makes sense as for 2014, at most regionals, you needed a decent third partner could help overcome a 2 strong team alliance. For me personally, games like 2013 hit the balance just right for a serpentine style draft. I almost felt that 2014 shifted the balance a bit too much. If I had time, I would love to see difference between events with more than 40 teams and events with 40 and under to see if there is a significant trend difference there. |
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