analytically

As a noun practical

is (british) a part of an exam or series of exams in which the candidate has to demonstrate their practical ability.

As an adjective practical

is based on practice or action rather than theory or hypothesis.

As an adverb analytically is

in an analytical manner.

As adverbs the difference between analytically and numerically

is that analytically is in an analytical manner while numerically is in a numerical manner.