My problem is how to measure the effect of a user's participation in forums. I calculate the user's participation as the number of discussions that user posted. My hypothesis that a users' participations are not independent of each other and that the users' participations depends on the group, that is a user's behaviour changes based on the group.
For example my data will be like this:
| users | Forum 1 | Forum 2 | Forum 3 | | u1 | 10 | 5 | NA | | u2 | 6 | NA | 4 | | u3 | 5 | 2 | 3 |
I want to be able to prove that u1 behaviour is different in forum 1 than in other forums and the particular thing about Forum 1 is that users in Forum 1 tend to have a higher value of the participation.
Does that make sense? What are the statistical techniques that I can use for verifying my hypothesis?