## Calculating Specificity **Key Point:** Specificity is the probability that a negative test result correctly identifies the absence of disease. It is calculated as: Specificity = TN / (TN + FP), where TN = true negatives and FP = false positives. ### Data Extraction from the Vignette From the problem statement: - **Disease present (GDM confirmed on OGTT):** 800 women - Correctly identified by glucose meter (TP) = 760 - Missed by glucose meter (FN) = 800 − 760 = 40 - **Disease absent (no GDM on OGTT):** 4200 women - Correctly ruled out by glucose meter (TN) = 3948 - Incorrectly identified as GDM (FP) = 4200 − 3948 = 252 ### Specificity Calculation $$\text{Specificity} = \frac{\text{TN}}{\text{TN} + \text{FP}} = \frac{3948}{3948 + 252} = \frac{3948}{4200}$$ $$\text{Specificity} = 0.94 = 94\%$$ ### 2×2 Contingency Table | | GDM Present (OGTT+) | GDM Absent (OGTT−) | Total | |---|---|---|---| | **Glucose Meter +** | 760 (TP) | 252 (FP) | 1012 | | **Glucose Meter −** | 40 (FN) | 3948 (TN) | 3988 | | **Total** | 800 | 4200 | 5000 | **High-Yield:** Specificity is calculated only from the disease-absent group (the denominator includes only those who truly do NOT have the disease). It answers the question: "Of all people without the disease, how many does the test correctly identify as negative?" ### Related Test Characteristics $$\text{Sensitivity} = \frac{\text{TP}}{\text{TP} + \text{FN}} = \frac{760}{800} = 95\%$$ $$\text{Positive Predictive Value (PPV)} = \frac{\text{TP}}{\text{TP} + \text{FP}} = \frac{760}{1012} = 75.1\%$$ $$\text{Negative Predictive Value (NPV)} = \frac{\text{TN}}{\text{TN} + \text{FN}} = \frac{3948}{3988} = 99\%$$ **Clinical Pearl:** This glucose meter has high sensitivity (95%) and high specificity (94%), making it suitable for screening. The very high NPV (99%) means a negative test is very reassuring and can safely exclude GDM in most cases. **Mnemonic:** **SPIN and SNOUT** - **SPIN:** Specificity rule-IN (high specificity test that is positive rules IN the disease) - **SNOUT:** Sensitivity rule-OUT (high sensitivity test that is negative rules OUT the disease) This meter has both high sensitivity and specificity, so it performs well in both directions.
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