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Use "observationally" in a sentence
"We don't know that observationally, but it may well turn out to be the case, and if it does, it won't be surprising."
"I also don't understand how discussions about multi-factor productivity could possibly distinguish between a supply-side or a demand-side explanation for a recession; surely national income identities mean that the two are observationally equivalent?"
"At this point, should anyone have a compelling and observationally-supported argument "hey guys, we blew it, this isn't man made at all" they'd make their career on it."