correction vs reproof

correction and reproof both are nouns.

Word	Noun	Adjective	Verb	Adverb
correction	Yes	No	No	No
reproof	Yes	No	Yes	No

As nouns, reproof is a hypernym of correction; that is, reproof is a word with a broader meaning than correction:

Other hypernyms of correction include rebuke, reprehension, reprimand, reproval.

correction (noun)	reproof (noun)
the act of offering an improvement to replace a mistake; setting right	an act or expression of criticism and censure
treatment of a specific defect
the act of disciplining
a drop in stock market activity or stock prices following a period of increases
a rebuke for making a mistake
something substituted for an error
a quantity that is added or subtracted in order to increase the accuracy of a scientific measure

correction (verb)	reproof (verb)
	take to task