Positive predictive value

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Positive Predictive Value - Predicting the Positive

2x2 table for infectious disease diagnostic test data

  • Definition: The probability that a person with a positive test result actually has the disease.
  • Formula: $PPV = TP / (TP + FP)$
    • PPV is directly proportional to disease prevalence and specificity.
    • ↑ prevalence → ↑ PPV.
    • ↑ specificity → ↑ PPV.
  • 📌 Mnemonic: PPV asks, 'Given a Positive test, what's the probability of Positive disease?'

⭐ PPV is the answer to the patient's question: 'I tested positive, do I actually have the disease?'

PPV & Prevalence - The Prevalence Effect

  • Positive Predictive Value (PPV) is critically dependent on disease prevalence (i.e., pre-test probability) in the tested population.

  • The relationship is directly proportional:

    • If prevalence , then PPV .
    • If prevalence , then PPV .
  • High-Prevalence Setting:

    • A positive result is more likely to be a true positive.
    • Seen when testing symptomatic individuals or high-risk groups.
  • Low-Prevalence (Screening) Setting:

    • A positive result has a higher chance of being a false positive.
    • This is a major challenge for general population screening tests.

⭐ In a low-prevalence population, even a highly specific test will have a low PPV, leading to many false positives.

📌 Mnemonic: High Prevalence → High PPV. Low Prevalence → Low PPV.

Impact of prevalence and cut-off on PPV and NPV

Diagnostic Metrics - The Whole Squad

2x2 table: TP, FP, FN, TN, and related diagnostic metrics

Disease +Disease -
Test +True Positive (TP)False Positive (FP)
Test -False Negative (FN)True Negative (TN)
-   $Sensitivity = TP / (TP + FN)$
-   📌 **SNOUT**: a highly **S**e**n**sitive test, when **N**egative, helps rule **OUT** disease.
  • Specificity (Sp): Rules in. Proportion of people without the disease who test negative.

    • $Specificity = TN / (TN + FP)$
    • 📌 SPIN: a highly Specific test, when Positive, helps rule IN disease.
  • Negative Predictive Value (NPV): Probability of being disease-free with a negative test.

    • $NPV = TN / (TN + FN)$

⭐ Sensitivity and Specificity are intrinsic properties of a diagnostic test and do NOT change with disease prevalence.

High‑Yield Points - ⚡ Biggest Takeaways

  • Positive Predictive Value (PPV) is the probability that a patient with a positive test result truly has the disease.
  • It is calculated as True Positives / (True Positives + False Positives).
  • Unlike sensitivity and specificity, PPV is highly dependent on the pretest probability or disease prevalence.
  • As prevalence increases, the PPV increases.
  • As prevalence decreases, the PPV decreases.
  • This is critical for interpreting screening tests in low-risk vs. high-risk populations.

Practice Questions: Positive predictive value

Test your understanding with these related questions

A 36-year-old female presents to clinic inquiring about the meaning of a previous negative test result from a new HIV screening test. The efficacy of this new screening test for HIV has been assessed by comparison against existing gold standard detection of HIV RNA via PCR. The study includes 1000 patients, with 850 HIV-negative patients (by PCR) receiving a negative test result, 30 HIV-negative patients receiving a positive test result, 100 HIV positive patients receiving a positive test result, and 20 HIV positive patients receiving a negative test result. Which of the following is most likely to increase the negative predictive value for this test?

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Flashcards: Positive predictive value

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