Suppose we want to compare an AI classifier to a human but we know that an avg human's classification accuracy is imperfect too.
Let's say the human's overall classification accuracy is 0.8, and on a given dataset of n=100 cases the AI agrees on m=74 of those with the human.
What is α, the classification accuracy of the AI?
Assume that whether AI makes a correct classification decision is stochastically independent of whether the human's correct. Then
74 = m = 0.8nα + 0.2n(1-α)
α = 0.9.
However the assumption of independence seems highly questionable here...
(the cases/objects that a human will have trouble classifying correctly are likely the same cases/objects that the AI classification algorithm will have trouble classifying correctly as well).
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