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PSM · Biostatistics: negative likelihood ratio
Sample itemA rapid test for a condition has a sensitivity of 80% and a specificity of 90%. What is its negative likelihood ratio?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. 0.22
The negative likelihood ratio is (1 - sensitivity)/specificity = 0.20/0.90 = 0.22. It shows how much a negative result lowers the odds of disease, and the smaller the value the more useful a negative result is. The positive likelihood ratio, sensitivity/(1 - specificity), would be 0.80/0.10 = 8.
Option by option
A. 8
This is the positive likelihood ratio, 0.80/0.10.
B. 0.11
This is 0.10/0.90, which uses the false positive rate (1 - specificity) in the numerator instead of the false negative rate.
C. 4.5
This is the inverse (0.90/0.20), which has no standard meaning here.
D. 0.22 (correct)
Correct. 0.20 / 0.90 = 0.22.
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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