Forum - View topicThe Best and Worst of the Season So Far: Week of Feb 19-25
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Dan42
Chief Encyclopedist
 Posts: 3785 Location: Montreal |
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I can't blame anyone for being confused because I'm confused myself. Like I've said before, it's possible for the sum of individual preferences to result in paradoxical aggregate preferences like (A>B, B>C, C>A). So if the order of the ranking is (A,B,C) that means C is ranked lower than A even though it is actually preferred to A. This is the nature of the Schulze method (and most other ranking methods), and there's always been a smattering of cases like this in each week of the previous seasons. But this season it's absolutely crazy. For example, One Piece gets the weekly #3 spot even though it is only preferred to 12 of the other titles! It loses by a large margin against the 5 titles under it... but wins by an even bigger margin against Lupin... which loses against all the others above it except Active Raid. Trying to sort it out just makes my head spin. And you can see the effect in the cumulative ranking. At the same time last season the cumulative graph had only small variations. But this season, far from solidifying, positions 3 to 17 are jittering like crazy. I'm pretty sure the calculcations are not mistaken, but at the end of the season I think I'm going to evaluate other ranking methods to see if I can find something that results in less weirdness. |
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Angel M Cazares
 Posts: 5437 Location: Iscandar |
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The cumulative ranking continues to make sense, but I give up on trying to make sense of how the weekly rankings are computed. I am no mathematician, but to me the list that very kindly justsomeaccount provided suggests to me that the weekly rankings are a mess.
I apologize for dismissing statistics, but it would be simpler to do the weekly rankings based solely om the community scores for the episodes. Using that method, here is how the first 10 positions would look like: 1. ERASED 8: 4,8 2. Gintama 311: 4,7 3. Haikyuu 20: 4,6 4. AssClass 8: 4,5 T4. Durarara 31: 4,5 6. KonoSuba 7: 4,4 7. GATE 19: 4,3 T7. Grimgar 7: 4,3 T7. Lupin IV 21: 4,3 T7. Snow White 19: 4,3 |
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zrnzle500
 Posts: 3767 |
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I think your list accidentally belies your point that straight averages would be best, as over half the list consists of ties. The current method deals with better with tie breakers than straight averages as you inadvertently pointed out. The decision to evaluate other methods strikes me as appropriate though |
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jroa
Posts: 537 |
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I am not exactly into statistics either, but I assume the whole point of using the current Schulze method (or any alternative one) is to reflect, in a presumably fairly scientific and mathematical way, how much audience preferences towards a show have been changing over time, both when compared to itself and with respect to others.
I don't think that just going for a straight "MAL-style" ranking where the highest score equals best and the lowest score equals worst is necessarily the right answer. Alternative statistical methods should be explored and any math errors should be avoided, but it would be a shame if the change is motivated by "this isn't the result we want/expect, ergo it's clearly wrong" and little else. |
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Angel M Cazares
Posts: 5437 Location: Iscandar |
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If you are referring to my post. My displeasure is not motivated by me wanting the rankings to align to my preferences. For instance, Showa Genroku Rakugo Shingu is my favorite show this season, but I never expected it to be the top choice by the community as a whole. I just want the most effective and accurate method to create this rankings. F.uck my ego. |
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v1cious
 Posts: 6203 Location: Houston, TX |
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Dimension W Went up? Really?
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jiecut
Posts: 8 |
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Yeah I don't think just ranking them by average score is a good solution.
There's the problem that not everyone is watching all the shows, and different voters have different average scores. |
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