Ranking calculation (Closed for comments)
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Summing up the ranks and taking the average is said to be a bad idea. Does anybody know why exactly this is a bad idea? There is a ton of other voting systems. One which is standing out is the Schulze Method (https://en.wikipedia.org/wiki/Schulze_method). Does anybody know more about this?
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I can think of one reason why it is bad. Averages give a high weight to outliers. This means I can get first places from every judge except one who gives me a bad score, and because of the way averages work, my results is changed a lot.
Felix, perhaps I didn't understand correctly, but it seems that wikipedia defines the Schulze method as a "Single Winner" method. We need the top three results from each round for x-style.
A very simple method which helps ignore outliers is the median. We could also do a compromise like artistic freestyle does where the one best and one worst scores are thrown out and then the average is taken from there.
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the schulze method seems like it is the fairest mathematical way. however it also seem complicated and for it to work properly there would need to be a lot of judges.
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Scott: right now, we are throwing the best and worst scores away and then taking the average. The output of the schulze method is a ranking, not only the winner. Computers should be used to calculate the results. But how many judges are needed to get good results? Could someone run the method on some jugding results of UNICON and compare? My time is very limited right now.
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here is a simple interactive explanation of the schultze method: https://modernballots.com/help/schulze-method