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Unread 11-03-2006, 15:09
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Re: Statistics for week 2

CHARTS:

Definition: robot-regionals. Units indicating the sum of the number of regionals the robots in an alliance had attended. For example: If an alliance had 2 robots that had attended 1 regional each, and 1 robot that was attending its first, it would be measured at 2 robot-regionals.
attendance.png
This is a boxplot showing the average score of alliances, seperated by their robot-regional values. Surprisingly, there was never an alliance put together that included more than one robot that had attended a previous regional.

matchesPlayed.png
Shows score achieved versus the average number of matches played by the robots making up the alliance. You can see that it does increase slightly throughout the competition. It's only really accurate up to 8 though, as only one regional had posted up to 11 matches when I downloaded the data this morning.

MatchNumber.png
This shows the scores achieved versus match number. So if a score of 40 was achieved in match #38, it would be plotted at (38,40). Grouped in segments of 10

prevnext.png
This was the most interesting one for me. I wanted to see how strongly past performance was a predictor of future performance. Along the x-axis, we see a team's performance in a past match. Along the y-axis, we see the team's performance in the following match. So if a team had scores (in order) of 21,35,70, and 30, they would have points at (21,35), (35,70), (70,30). From this graph, for example, we can see that for all robots that scored 70 on a given match, then on the following match, most robots (between 25th and 75th percentile) scored between 20 and 40. For more details, see boxtutorial.png


How to read a boxplot
Each box indicates the range from the 25th to 75th percentile. The lines above and below the box indicate the range from the 5th percentile to the 95th (it could be 10th to 90th, I'm not sure). The dots outside the boxes and lines indicate outliers that are above the 95th percentile or below the 5th. The thick line in the middle of the box indicates the median. See boxtutorial.png. Boxplots are better at showing trends when you have a whole lot of data because they show you how ranges of data did, rather than just making you eyeball a scatterplot and say 'yarrr... that looks like a trend'. Think of them as a scatterplot, but with a bit of help to help you read it.
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Last edited by Bongle : 11-03-2006 at 15:39.
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