collection vs anthology

collection and anthology both are nouns.

Word	Noun	Adjective	Verb	Adverb
collection	Yes	No	No	No
anthology	Yes	No	No	No

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

Other hyponyms of collection include archives, compilation, digest.

collection (noun)	anthology (noun)
the act of gathering something together	a collection of selected literary passages
a publication containing a variety of works
request for a sum of money
several things grouped together or considered as a whole