This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

adj. Not based on any empirical evidence; faith-driven

adj. Not relying directly on data; theory-driven

"It's hard to tell whether the author of the post at Prosthesis thinks "nonempirical" factors in theory selection are bad for science, but it's clear that he/she thinks they are unavoidable."

empirical   

nonempirically