stand back vs stand up

stand back and stand up both are verbs.

Word	Noun	Adjective	Verb	Adverb
stand back	No	No	Yes	No
stand up	No	No	Yes	No

As verbs, stand up is a hypernym of stand back; that is, stand up is a word with a broader meaning than stand back:

Other hypernyms of stand back include stand.

stand back (verb)	stand up (verb)
stand away from an object or person	defend against attack or criticism
stay clear of, avoid	refuse to back down; remain solid under criticism or attack
	be standing; be upright
	put into an upright position
	rise to one's feet
	rise up as in fear
	resist or withstand wear, criticism, etc.