comparing vs analogy

comparing and analogy both are nouns.

Word	Noun	Adjective	Verb	Adverb
comparing	Yes	No	No	No
analogy	Yes	No	No	No

As nouns, analogy is a hyponym of comparing; that is, analogy is a word with a more specific, narrower meaning than comparing:

Other hyponyms of comparing include likening, collation, confrontation, contrast.

comparing (noun)	analogy (noun)
the act of examining resemblances	drawing a comparison in order to show a similarity in some respect
	an inference that if things agree in some respects they probably agree in others
	the religious belief that between creature and creator no similarity can be found so great but that the dissimilarity is always greater; any analogy between God and humans will always be inadequate