Postback conversion tracking passes information between one platform to another. To get your conversion visible in TrafficStars statistics, you have to correctly set up postback transfer.
When tracker receives a Postback from an affiliate network with it's click ID, it will activate the traffic sources Postback and send it back with the click ID value. The postback URL of the traffic source must contain precisely the click ID value that was passed on to the tracker via the campaign URL.
In other words, adding Click ID to the referral link you'll be able to pass details of conversion.
Setting up the transfer of conversions to TrafficStars you'll be able to optimize campaigns without a third-party tracker.