dialect vs non-standard speech

dialect and non-standard speech both are nouns.

Word	Noun	Adjective	Verb	Adverb
dialect	Yes	No	No	No
non-standard speech	Yes	No	No	No

As nouns, non-standard speech is a hypernym of dialect; that is, non-standard speech is a word with a broader meaning than dialect:

dialect: the usage or vocabulary that is characteristic of a specific group of people
non-standard speech: speech that differs from the usual accepted, easily recognizable speech of native adult members of a speech community

dialect (noun)	non-standard speech (noun)
the usage or vocabulary that is characteristic of a specific group of people	speech that differs from the usual accepted, easily recognizable speech of native adult members of a speech community