pecking order vs establishment

pecking order and establishment both are nouns.

Word	Noun	Adjective	Verb	Adverb
pecking order	Yes	No	No	No
establishment	Yes	No	No	No

pecking order (noun)	establishment (noun)
the organization of people at different ranks in an administrative body	the act of forming or establishing something
	a public or private structure (business or governmental or educational) including buildings and equipment for business or residence
	the cognitive process of establishing a valid proof
	an organization founded and united for a specific purpose
	any large organization
	the persons (or committees or departments etc.) who make up a body for the purpose of administering something
	(ecology) the process by which a plant or animal becomes established in a new habitat