Rarity calculation question

[casper-hansen]

Hi @fukuball, love the project. Got a question about the calculations!

When you say the following:

Account for missing trait_types of an NFT.
Account for the trait_count of an NFT.
rarity_score = 1/(24/10000) = 416.67
Calculate the Rarity Score for each token (SUM of all rare trait attributes / missing traits / trait counts).

a) What exactly do you mean by accounting for it? Does it mean that you count how many traits are missing per NFT?
b) Can you provide me a full example of the final rarity score calculation or let me know if my explanation below is correct?

For every trait, we calculate the rarity score ( 1/(trait_type_count/collection_size) ), then we divide that by the number of missing traits (let's say 1 in this instance), and then, at last, we divide by the number of trait categories available in the collection (for example, BAYC has 7 total).

So in total, that would be (BAYC example with the Eyes trait "Blue Beams"):

rarity_score = (1/(trait_type_count/collection_size)) / num_missing_traits / num_traits_in_collection. 
rarity_score = (1/(49/10000)) / 1 / 7. 

Edit: Or is it the number of traits in the NFT instead of the number of missing traits?

rarity_score = (1/(trait_type_count/collection_size)) / num_traits_in_token / num_traits_in_collection. 
rarity_score = (1/(49/10000)) / 6 / 7. 

c) How does your trait normalization work? I see you are defining some mean values, but I am having a hard time deciphering how exactly they are used.

d) Is your rarity calculations equal to the ones on rarity.tools v2 without additional weighting?

[casper-hansen]

@fukuball hey man, have time for the questions?