In a study of 200 patients, a diagnostic test yields TP=72, FP=18, FN=8, TN=102. What is the Positive Likelihood Ratio (LR+)?

• A 4.5
• B 9.0
• C 3.6
• D 6.0 ✓

Explanation

Sensitivity = 72/(72+8) = 72/80 = 0.90; Specificity = 102/(102+18) = 102/120 = 0.85. LR+ = Sensitivity / (1 − Specificity) = 0.90 / 0.15 = 6.0. A positive test result is 6 times more likely to come from a diseased person than a non-diseased person. LR+ above 10 is considered excellent; above 5 is moderate; the value of 6.0 here represents good discriminative ability.

Reference: Park's Textbook of Preventive and Social Medicine, 27th ed.

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