say-so vs statement

say-so and statement both are nouns.

Word	Noun	Adjective	Verb	Adverb
say-so	Yes	No	No	No
statement	Yes	No	No	No

As nouns, statement is a hypernym of say-so; that is, statement is a word with a broader meaning than say-so:

Other hypernyms of say-so include affirmation, assertion.

say-so (noun)	statement (noun)
the power or right to give orders or make decisions	a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc
an authoritative declaration	a document showing credits and debits
one chap's arbitrary assertion	a fact or assertion offered as evidence that something is true
	(computer science) a line of code written as part of a computer program
	(music) the presentation of a musical theme
	a nonverbal message
	the act of affirming or asserting or stating something