http://www.wordreference.com/ proposes "make up" (vtr) => "assemble, put together"
I wouldn't have seen any problem in saying "please, put an elemental analysis together", thinking: the article lacks an analysis for completeness, a simple one should be included.
Makes me remember of red side notes from my teachers in my homework, long ago: "Results are ok, but where's the analysis?!"...
I only see conscienciousness by a (non-english) reviewer, in this instruction.