This feature is designed to allow you to share the stats you have gathered with your friends ingame, for a list of the top players in the different stats types. You can access this feature in many different ways, either via the Reports tab or via the menu in the Minimal UI.
What is commen for ingame reports is when its generated you past from your clipboard into ingame chat window ( CTRL + V )
You can control what stats you want to share via tab in the main UI, like filtering based on encounters and so on.
Minimal UI - Menu
Doing reports from the Minimal UI will follow the current stats filter mode, so if your filtering based on damage the ingame report will focus on Damage.
Please note that there are some game spesific information, as Age of Conan allows for much greater details in ingame reports they will contain more information when posible.