hyperlink on webpage -> Man in the middle (logging and redirect script) -> link destination.

Then, you need to sort out the real problems.

Accepts cookies,
has JavaScript,
Country,
date/time,
link location with some link identifier,
some user identifier (tokenize?).

Search: 'click tracking script' modify that or write your own.

The problem is counting apples:apples

I am assuming that you want to test each referral link's click out count with your sponsors' stats count -- but are you counting the same thing?

Click tracking your own website and a<=>b or more variable testing of its sponsor link placement would be more useful. Send traffic to sponsors that you trust (having good revenue and consistency (ROMI) for you is a good sign). Playing Internet Police is usually a waste of time -- find some winners and stick with them for as long as they produce results.