Chest X-Ray — Community-Acquired Pneumonia

Test Characteristics

Metric Value
False-negative rate 29% (sensitivity 71%)
False-positive rate 14% (specificity 86%)
Bayes factor
Base rate 5% of primary care patients presenting with cough and fever

Interpreting Results

Scenario Prior + Result − Result
Cough and low-grade fever 5% 5 × 5% = 25%5%× 525% 1/5 × 5% = 1%5%÷ 51%
High fever, productive cough, focal crackles 20% 5 × 20% ≥ 100%20%× 5100% 1/5 × 20% = 4%20%÷ 54%

5 × 20% ≥ 100%20%× 5100%: exact posterior is 56%. CXR misses ~30% of pneumonias, especially early in disease. Lung ultrasound (sensitivity ~93%) increasingly supplements CXR.

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