Help with a Formula

[bebebe]

I need help with a formula for a music related website I am building. On the site there will be a "popularity chart" that is used to determine how popular a band/artist is on the website. There are four pieces of criteria that I want to use to determine this. Number of Fans, Unique daily page views (artists have their own Myspace style web page), Unique daily song plays and artist review score. The first three are self-explanatory, but to elaborate on artist review score, for every artist that creates a profile on the website, up to 1000 randomly chosen fans will be prompted to "review" any given artists music on a simple 1-5 scale. 1 meaning they don't like the artists music and 5 meaning they love it. Now the problem I am having is determining how to equally weigh (25% per criterion) these four categories into my formula since 3 of the determinants are open ended (i.e. a band could have 1,000,000 page views, song plays or friends) but only 1000 artist review votes (which will come to an average artist review score). I would appreciate any help that someone can offer in regards to creating an optimal formula to most fairly determine an artists popularity using these four factors.

Thanks,
Brandon

 

[stapel]

I would appreciate any help that someone can offer in regards to creating an optimal formula to most fairly determine an artists popularity using these four factors.

You'll first have to define (precisely and mathematically) what you mean by "optimal".

 

[bebebe]

well I say optimal because I am sure there are multiple ways to calculate an artists "popularity" using the criteria I am using. I guess when I say optimal I mean what is the "fairest" way to determine a users popularity by analyzing these four pieces of data in your opinion. Keep in mind, I would like to assign 25% value to each of the four categories. Otherwise, I am open to (and hoping for) suggestions and observations on how to most accurately calculate all artists popularity. Hope this helps answer your question.

Thanks and regards,
Brandon