empirically
adverb
em·pir·i·cal·ly
im-ˈpir-i-k(ə-)lē
em-
: in an empirical manner : with a basis in or reliance on information obtained through observation, experiment, or experience
a theory that has not yet been tested empirically
… using Tycho Brahe's most exhaustive astronomical observations in history, Kepler had empirically demonstrated that the planets orbit elliptically.—Charles Krauthammer
The statistical models were flawed, the defense maintained, noting that none had been empirically tested.—Simon Cole
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Merriam-Webster unabridged
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