A given user can interact in multiple ways with a website. Let's simplify a bit and say say a user can:
- Post a message
- Comment a message
- "like" something on the website via Facebook
(after that we could add, following the site on twitter, buying something on the site & so on, but for readability's sake let's stick to these 3 cases)
I'm trying to find a formula that could give me a number between 0 and 100 that reflects accurately the user interaction with the given website.
It has to take the following into account:
A user with 300 posts and a one with 400 should have almost the same score, very close to the maximum
A user should see his number increase faster at the beginning. For instance a user with 1 post would have 5/100, a user with 2 would have 9/100, one with 3 would have 12/100 and so on.
Each of these interactions have a different weight because they do not imply the same level of involvement. It would go this way:
Post > Comment > Like
In the end, the repartition of data should be a bit like the following, meaning a lot of user around 0-50, and then users really interacting with the website.
This is quite specific and data-dependent, but I'm not looking for the perfect formula but more for how to approach this problem.