Negative predictive value

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Negative Predictive Value - The 'All Clear' Signal

  • Negative Predictive Value (NPV) is the probability that a subject with a negative test result is a true negative. It answers the question: "If my test is negative, how likely is it that I don't have the disease?"

⭐ NPV is the probability that a person with a negative test result is truly free of the disease.

  • Formula: $NPV = \frac{TN}{TN + FN}$
    • TN: True Negative
    • FN: False Negative

2x2 table for sensitivity, specificity, PPV, and NPV

  • Prevalence Impact:
    • NPV is inversely related to prevalence.
    • As prevalence ↓, NPV ↑.
    • 📌 NPV's value shines when prevalence is low. A negative result in a low-prevalence setting is very reassuring.

NPV & Prevalence - By Population Possessed

  • Negative Predictive Value (NPV) is critically dependent on disease prevalence (or pre-test probability) in the tested population. It is NOT an intrinsic property of the test itself.
  • The relationship is inverse:
    • As prevalence , NPV .
    • As prevalence , NPV .
  • This contrasts with Sensitivity and Specificity, which are fixed characteristics of a diagnostic test and do not change with prevalence.

NPV and PPV vs. Prevalence and Cut-off

⭐ In a population with very low disease prevalence, a negative test result is very reassuring. Even a test with mediocre specificity can achieve a very high NPV, because true negatives will vastly outnumber false negatives.

Clinical Utility - Master of Ruling Out

High Negative Predictive Value (NPV) is the cornerstone for ruling out disease. When a test has a high NPV, a negative result provides strong evidence that the patient does not have the condition, making it a master of exclusion.

  • Primary Goal: To confidently exclude a diagnosis, minimizing false negatives.
  • Best Application: Screening tests in low-prevalence populations. As disease prevalence ↓, the NPV of a test ↑.
  • Tool of Choice: Use a high-sensitivity test.
    • Example: Using a D-dimer test (high sensitivity) for a patient with low pre-test probability of pulmonary embolism (PE). A negative result effectively rules out PE.

SNOUT: A highly SeNsitive test, when Negative, rules OUT the disease. This is the strategy to achieve a high NPV.

High‑Yield Points - ⚡ Biggest Takeaways

  • Negative Predictive Value (NPV) is the probability of being truly disease-free given a negative test result.
  • It is inversely proportional to prevalence; as disease prevalence , NPV .
  • A negative result is most reassuring and useful when the pre-test probability (prevalence) is low.
  • Tests with high sensitivity have a high NPV, making them excellent for ruling out disease (SnNout).
  • Answers the patient's question: "If my test is negative, what is the chance I don't have the disease?"

Practice Questions: Negative predictive value

Test your understanding with these related questions

A scientist in Chicago is studying a new blood test to detect Ab to EBV with increased sensitivity and specificity. So far, her best attempt at creating such an exam reached 82% sensitivity and 88% specificity. She is hoping to increase these numbers by at least 2 percent for each value. After several years of work, she believes that she has actually managed to reach a sensitivity and specificity much greater than what she had originally hoped for. She travels to China to begin testing her newest blood test. She finds 2,000 patients who are willing to participate in her study. Of the 2,000 patients, 1,200 of them are known to be infected with EBV. The scientist tests these 1,200 patients' blood and finds that only 120 of them tested negative with her new exam. Of the patients who are known to be EBV-free, only 20 of them tested positive. Given these results, which of the following correlates with the exam's specificity?

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Flashcards: Negative predictive value

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