[Plugin: W3 Total Cache] logged in/out users see the same cache !?

if the first user to open a page is logged in that version gets cached and every subsequent visitor sees an edit link next to the articles although he can’t access the back end.

I have set the system up so that logged in users see cached pages (for testing purposes) will this problem stop being a problem if I turn caching off for logged in users or is there anything else I can do?

https://www.ads-software.com/extend/plugins/w3-total-cache/