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Top 100 of 28922 anime on MAL by Favorites Ratio

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Sep 11, 2:11 PM
#1

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Feb 2018
240
For context: I got inspired by this forum thread: https://myanimelist.net/forum/?topicid=2169128 and decided to take it to the next level.


Every anime on MAL has a favorite count, showing how many people marked it as their favorite. Favorites Ratio tries to tell you the percentage of people who who watched an anime and marked it as their favorite. We use watching and completed statistics to calculate this metric, as it is very likely most people who favorited an anime are either watching it or have it set as completed.

I ran calculations on all anime that were available on MAL at the time of running this, 28922 entires.

Down below you have the Top 100 using a weighted average, along with two additional Top 10s i decided to throw in for fun (ONA & Hentai excluded).

Formula:

R = (favorites / v) * 100
v = watching + completed
m = 5000
C = The site-wide average favorites ratio of all anime.

Weighted Ratio = (v / (v + m)) * R + (m / (v + m)) * C


Not perfect (and can never be), there are many different ways you can approach this with varying outcomes, like tweaking the parameters to allow mainstream anime to take up more or less space.


(never used tables here before, so praying this is going to look OK)





If there is something you'd like to see that i didn't include here, let me know.

I'm not going to publish the whole list.



What do you think? Is this an interesting way of ranking anime?
Sep 11, 2:13 PM
#2
BIKINI⚔️ARMOR

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May 2019
10219
I'm not much of a data and statistics guy but the information is appreciated and very useful.
Sep 11, 2:57 PM
#3

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Oct 2015
6747
Appreciated list! Although I'd say m is a little bit too high perhaps, it will punish lesser known titles quite a bit.

For the uninitiated, this would be the statistics equivalent of adding 5000x site-wide average favorites ratio to all shows.

An easier analogy. if it was scores, it'd be adding 5000x global average score to every show. Let's say site average is 6.

So a show with 5000 members who all rated it 10 would become (10+6)/2=8, which probably isn't the outcome you'd like, because by 5000 members the uncertainty is already fairly reduced, reduced enough to not warrant a whole 2 point reduction.

If we assume the uncertainty curve takes a 1/√n shape, the highest m that I can get behind is like 500. For reference MAL's m is 100.
Sep 11, 3:05 PM
#4
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Dec 2021
5
Very interesting list, I'd definitely want this included in the top rankings. I like the formula, I initially thought that it wouldn't do anything besides for really small anime, but after playing around with it I found that it gravitates weighted scores for less popular anime towards the average to account for the small sample size that is less likely to take up their 'true' value of the favorites ratio. I just enrolled in a data science course, so this really gets me excited! Also, may I ask why parameter m is set at 5000?
Sep 11, 3:10 PM
#5

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Sep 2018
5235
This kind of data is useful because it's not a coincidence that some anime are ranked much higher by favorites ratio than by score, just as two anime with similar scores can have a vastly different percentage of recommended reviews. Numbers must always be interpreted.
Sep 11, 3:41 PM
#6

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Oct 2022
2726
It looks great but- I'm rubbing my eyes, tell me I didn't miss it in there somewhere- but the GREATESTEST ANIME EVAR MADE,
the GOAT Frieren is not even in the top 100???

Hahahahahahahahahahahaaaaaaaa!!! That's so fucking hilarious
It just proves even more how utterly fake the score on that anime is.
All the morons who created fake accounts to push it to #1 didn't bother faving it apparently- but if they've read this they're out there furiously clicking now aren't they?
Sep 11, 3:45 PM
#7

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Feb 2011
4207
Nice seeing LotGH still going strong.

@SuperAdventure It's 15th.
Sep 11, 4:01 PM
#8

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Sep 2016
21393
Neat ranking, I actually did something similar a while ago: I ranked the companies by favorites per number of anime.
#1 is Studio Ghibli, followed by Studio Bind.

Minor nitpick: The ratio is actually a percentage.
ZarutakuSep 11, 4:21 PM
No, this isn't my signature.
Sep 11, 5:17 PM
#9

Online
Feb 2018
240
@Nirinbo

Favorites is an interesting metric, i agree, but i wouldn't trust the numbers too much, I've seen a fair bit of odd data combing through the raw numbers. I won't go any deeper into it, just putting it out there.


@Zarutaku

Yes, you're right


@Mantighast @Auron

No specific reason, but 5000 is indeed harsh. We can lower that, lets try 100.


Sep 11, 5:26 PM
⟡Triller⟡

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Oct 2020
346
Very interesting to see. Thanks for putting this table together.
Sep 11, 11:43 PM

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Sep 2016
21393
Reply to SomeNewGuy
@Nirinbo

Favorites is an interesting metric, i agree, but i wouldn't trust the numbers too much, I've seen a fair bit of odd data combing through the raw numbers. I won't go any deeper into it, just putting it out there.


@Zarutaku

Yes, you're right


@Mantighast @Auron

No specific reason, but 5000 is indeed harsh. We can lower that, lets try 100.


The top 100 with m=100 actually seem more interesting, because the hidden gems are ranked higher than before.
No, this isn't my signature.
Sep 12, 12:10 AM

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Sep 2018
5235
Reply to SomeNewGuy
@Nirinbo

Favorites is an interesting metric, i agree, but i wouldn't trust the numbers too much, I've seen a fair bit of odd data combing through the raw numbers. I won't go any deeper into it, just putting it out there.


@Zarutaku

Yes, you're right


@Mantighast @Auron

No specific reason, but 5000 is indeed harsh. We can lower that, lets try 100.


SomeNewGuy said:
Favorites is an interesting metric, i agree, but i wouldn't trust the numbers too much, I've seen a fair bit of odd data combing through the raw numbers. I won't go any deeper into it, just putting it out there.

Yeah, I said that numbers need to be interpreted because there are some outliers that should be ruled out (the Jujutsu Kaisen PVs obviously aren't among the best anime of all time).

I'm not even talking about one person's taste: in terms of general reception anime like Nana, The Tatami Galaxy, Utena and Lain have always been considered better than many anime rated higher than them. The % of favorites is showing something that scores alone couldn't (I mean raw scores, maybe "recalculate scores after only taking into account votes given by users with more than X completed anime and a mean score below Y" could give us similar results, who knows?).
Sep 12, 1:18 AM
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May 2016
2041
Reply to SuperAdventure
It looks great but- I'm rubbing my eyes, tell me I didn't miss it in there somewhere- but the GREATESTEST ANIME EVAR MADE,
the GOAT Frieren is not even in the top 100???

Hahahahahahahahahahahaaaaaaaa!!! That's so fucking hilarious
It just proves even more how utterly fake the score on that anime is.
All the morons who created fake accounts to push it to #1 didn't bother faving it apparently- but if they've read this they're out there furiously clicking now aren't they?
@SuperAdventure Lol, someone can't even use the browser's built-in search function. xDDD
Sep 12, 5:46 AM

Offline
Oct 2022
2726
Reply to Shizuna
Nice seeing LotGH still going strong.

@SuperAdventure It's 15th.
@Shizuna Ah I see now I was looking for just Frieren and not Sosou no Frieren, thanks. My eyeballs hate reading spreadsheets


In any case, I wld argue that favorites are a more accurate way to rank on the site. It's a 15th most favorited anime, great. 15th is a long way from # 1
Sep 12, 7:56 AM

Online
Feb 2018
240
Reply to SuperAdventure
@Shizuna Ah I see now I was looking for just Frieren and not Sosou no Frieren, thanks. My eyeballs hate reading spreadsheets


In any case, I wld argue that favorites are a more accurate way to rank on the site. It's a 15th most favorited anime, great. 15th is a long way from # 1
SuperAdventure said:
I wld argue that favorites are a more accurate way to rank

Maybe

The powerful thing about favorites is that there is only a finite number of favorites a user can give out, unlike with mean score where you have "unlimited" 10/10s, it is not unusual to see users with 20 or 30+, 10/10s.

It is important to keep in mind though that different people might have different definitions of what a "favorite" anime is. You could give an anime a 8/10 but still want to have it as your favorite over a 10/10 anime in your list. So a favorite can't really be treated the same way as a 10/10, but it is a positive signal nevertheless that there is something special about the particular anime that the user decided to favorite, it is something worth paying attention to.

I think the correct answer here might be to create a new metric where favorites and mean score can be used in symphony to rank anime.

I experimented a little with this, give a 60% influence to mean scores and a 40% influence to favorites, lets call this new metric a "resonance score". Then in that case, a Top 100 would probably look something like this:

SomeNewGuySep 12, 8:02 AM
Sep 12, 9:50 AM

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Oct 2022
2726
Reply to SomeNewGuy
SuperAdventure said:
I wld argue that favorites are a more accurate way to rank

Maybe

The powerful thing about favorites is that there is only a finite number of favorites a user can give out, unlike with mean score where you have "unlimited" 10/10s, it is not unusual to see users with 20 or 30+, 10/10s.

It is important to keep in mind though that different people might have different definitions of what a "favorite" anime is. You could give an anime a 8/10 but still want to have it as your favorite over a 10/10 anime in your list. So a favorite can't really be treated the same way as a 10/10, but it is a positive signal nevertheless that there is something special about the particular anime that the user decided to favorite, it is something worth paying attention to.

I think the correct answer here might be to create a new metric where favorites and mean score can be used in symphony to rank anime.

I experimented a little with this, give a 60% influence to mean scores and a 40% influence to favorites, lets call this new metric a "resonance score". Then in that case, a Top 100 would probably look something like this:

SomeNewGuy said:
Maybe

The powerful thing about favorites is that there is only a finite number of favorites a user can give out, unlike with mean score where you have "unlimited" 10/10s, it is not unusual to see users with 20 or 30+, 10/10s.

It is important to keep in mind though that different people might have different definitions of what a "favorite" anime is.


^This is exactly why it would be a better ranking system- due to the limit they would not be able to warp the rankings by just scoring 1000s of things '10' they never even watched. Each account would have a limit of 10 anime (or 20 for premium) they could do that. It would limit abuse, which is exactly what happened with the Frieren thing.

"It is important keep in mind ...different people might have different definitions..."

This subjectivism is exactly the same with scoring. Each user has different definitions of what a 10 (and 1-9) is. So it would be no difference.
Sep 12, 10:24 AM

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Jul 2021
3595
Tatami Galaxy being in top 10 is pretty interesting. Don't think it can just be attributed to a small number of hardcore fans like Utena or Ashita no Joe 2.

Also interesting that Detective Conan is so high up. I wonder if lots of people moved it out of their Watching list as they moved on, but kept it in their favorites list.

Jujutsu Kaisen PVs being at #25 is amusing. Wonder what happened there. The PV looks pretty ordinary.
Sep 12, 12:13 PM

Offline
May 2018
12343
Statistics never work for me when I an searching for entertainment.

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