So doing a Bayesian average with just Kaguya and a hypothetical terrible manga with only 500 1 star ratings still gives the terrible manga a 2.8 rating.
The best way to do it, I think, is to fudge
w a little bit. It's essentially a measurement of how much you allow the character of the individual versus the conglomerate to show through. The values are normally [0,1.0] but if you range it from [0.5,1.0] you guarantee half of the rating is due to the individual manga. There's still the problem that even my hypothetically detested manga ends up with a 2 star rating unless you make the floor so high that a low number of ratings can tank the average.
To fix that, I tried a variable weighting. If the number of ratings for one manga is less than the average number of ratings (
m), then there's a scaling weight from 0.5 to 0.85. If it's equal or more, it's just a flat 0.85.
@zetsuravez
C is the average rating overall. It's like if you take the ratings from every single manga and combine them into one big bunch and take the average.