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PSM · Epidemiology: kappa statistic
Sample itemTwo radiologists independently classify 200 chest radiographs as normal or abnormal. They agree on 85% of films, and the agreement expected purely by chance is 50%. What is the kappa statistic?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
A. 0.70
Kappa measures inter-observer agreement beyond chance: kappa = (observed agreement - chance agreement) / (1 - chance agreement). Here (0.85 - 0.50) / (1 - 0.50) = 0.35 / 0.50 = 0.70. By convention values around 0.61 to 0.80 indicate substantial agreement.
Option by option
A. 0.70 (correct)
Dividing the excess agreement 0.35 by the maximum possible excess 0.50 gives 0.70.
B. 0.35
0.35 is the agreement above chance before dividing by the maximum achievable agreement above chance.
C. 0.85
0.85 is the raw observed agreement, which does not correct for chance.
D. 0.50
0.50 is the agreement expected by chance alone.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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