through an experiment vs by experimentation

through an experiment and by experimentation both are adverbs.

Word	Noun	Adjective	Verb	Adverb
through an experiment	No	No	No	Yes
by experimentation	No	No	No	Yes

As adverbs, through an experiment and by experimentation are synonyms defined as:

through an experiment and by experimentation: in an experimental fashion

Other synonyms of through an experiment include experimentally.

through an experiment (adverb)	by experimentation (adverb)
in an experimental fashion	in an experimental fashion