Examine critically (7)
(Other definitions for analyse that I've seen before include "Sort out syntax" , "Break down into constituent parts" , "Evaluate" , "Carefully examine" , "Break down into components parts and examine" .)
(Other definitions for dissect that I've seen before include "Analyse (something) in minute detail" , "Cut open or cut apart" , "Examine minutely" , "Anatomize" , "Critically examine" .)