Analysis isn't a passive thing. Think of it in the same way as "the activity of baseball."
Activity of analysis=Δραστηριότητα της ανάλυσης(make analysis) Analysis of activity=Ανάλυση της δραστηριότητας (analyze the activity) An other question: "Activity of analysis" is equal of "The analysis activity"? What is the difference?
Also, can I translate this as "the act of analysis"? This is probably less direct translation, but it would at least make more sense.