My interpretation: there’s no such thing as negative value of information. If the mean of the crowdworkers’ estimates were reliably in the wrong direction (compared with Elizabeth’s prior) then that would allow you to update Elizabeth’s prior to make it more accurate.
I’m afraid I don’t understand your question, could you clarify?
My interpretation: there’s no such thing as negative value of information. If the mean of the crowdworkers’ estimates were reliably in the wrong direction (compared with Elizabeth’s prior) then that would allow you to update Elizabeth’s prior to make it more accurate.
An oracle that is always wrong can still be useful.