M09.01.006 Measurement of screening test

Sensitivity and specificity are fundamental measures of test performance. They help evaluate how well a test identifies disease or rules it out, especially when a gold standard test is unavailable or impractical.

Clinical Context Example:
Calling a cardiology fellow for a cardiac catheterization (gold standard for myocardial ischemia) without first performing an EKG (screening test) would be inefficient and unnecessary.


Sensitivity (True Positive Rate)

The probability that a test correctly identifies patients with the disease.

Sensitivity=text{Sensitivity} = frac{text{True Positives (TP)}}{text{TP + False Negatives (FN)}}

Key Points:

  • Measures only the distribution of diseased individuals.
  • Uses data from the “sick” column of a 2 × 2 table.
  • False Negative Rate = 1 − Sensitivity.

Clinical Example:

  • Temporal arteritis (TA) always shows elevated ESR in patients >50 years.
  • If ESR is normal, TA is effectively ruled out.
  • Mnemonic: SNNOUT → Sensitive test Negative rules OUT disease

Illustration:

Sick (Disease Present) Test Positive Test Negative
200 patients 160 (TP) 40 (FN)

text{Sensitivity} = 160/200 = 0.8 = 80%


Specificity (True Negative Rate)

The probability that a test correctly identifies patients without disease.

text{Specificity} = frac{text{True Negatives (TN)}}{text{TN + False Positives (FP)}}[latex]

Key Points:

  • Measures only the distribution of disease-free individuals.
  • Uses data from the “not sick” column of a 2 × 2 table.
  • False Positive Rate = 1 − Specificity.

Clinical Example:

  • CT angiogram for pulmonary embolism (PE) has a specificity ≈ of 97%.
  • A positive CT is highly likely to represent true PE.
  • Mnemonic: SPIN → Specific test Positive rules IN disease

Illustration:

Not Sick (Disease Absent) Test Positive Test Negative
100 patients 3 (FP) 97 (TN)

text{Specificity} = 97/100 = 97%


Trade-Off Between Sensitivity and Specificity

  • Tests are rarely perfect; increasing sensitivity often reduces specificity, and vice versa.
  • Graphical representation: Screening dimension curves, ROC curves.
  • Goal: Balance to minimize false positives and false negatives while maximizing true detection.

Quick Reference Table

Measure Formula Clinical Use Mnemonic
Sensitivity TP / (TP + FN) Detect disease, rule out disease if negative SNNOUT
Specificity TN / (TN + FP) Confirm disease, rule in disease if positive SPIN
False Negative Rate 1 − Sensitivity Risk of missing disease
False Positive Rate 1 − Specificity Risk of labeling healthy as sick

Learning Objective

After studying this topic, medical students should be able to calculate and interpret sensitivity and specificity, understand their clinical applications, recognize the trade-offs between these measures, and apply them to diagnostic and screening tests in real-world scenarios.


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