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    Subjects/PSM/Sensitivity and Specificity
    Sensitivity and Specificity
    hard
    users PSM

    A screening test for gestational diabetes mellitus (GDM) in Indian pregnant women is being validated. The test has a sensitivity of 88% and a specificity of 92%. All of the following statements about this test are true EXCEPT:

    A. The test is more useful for ruling in GDM than for ruling out GDM
    B. The negative likelihood ratio is approximately 0.13
    C. If 100 pregnant women without GDM are tested, approximately 8 will test positive (false positives)
    D. If 100 pregnant women with GDM are tested, approximately 12 will test negative (false negatives)

    Explanation

    Likelihood Ratios and Clinical Utility

    Key Point
    Likelihood ratios quantify how much a test result changes the probability of disease. A test with high sensitivity but lower specificity is better for ruling OUT disease (high NPV), not ruling IN disease.
    Calculating Likelihood Ratios

    Given:

    • Sensitivity = 88%
    • Specificity = 92%

    Positive Likelihood Ratio (LR+) = 1−SpecificitySensitivity​=1−0.920.88​=0.080.88​=11

    Negative Likelihood Ratio (LR−) = Specificity1−Sensitivity​=0.921−0.88​=0.920.12​≈0.13

    Interpretation of Likelihood Ratios
    Table
    LR+ ValueClinical Interpretation
    > 10Strong evidence to rule IN disease
    5–10Moderate evidence to rule IN disease
    1–5Weak to moderate evidence to rule IN disease
    1No diagnostic value
    0.1–1Weak to moderate evidence to rule OUT disease
    < 0.1Strong evidence to rule OUT disease
    High-YieldNEET PG
    • LR+ = 11 → Strong evidence to RULE IN GDM (good for confirmation)
    • LR− = 0.13 → Moderate evidence to RULE OUT GDM (good for exclusion)

    This test is actually better for ruling IN disease (LR+ = 11 is strong) than for ruling OUT (LR− = 0.13 is only moderate). Option 3 states the opposite.

    Verification of Other Options

    Option 1: False Negative Rate = 100% − Sensitivity = 100% − 88% = 12%

    • Out of 100 GDM patients, 12 will test negative ✓ (Correct)

    Option 2: False Positive Rate = 100% − Specificity = 100% − 92% = 8%

    • Out of 100 non-GDM individuals, 8 will test positive ✓ (Correct)

    Option 4: LR− = 0.12/0.92 ≈ 0.13 ✓ (Correct)

    Clinical Pearl
    A test with LR+ > 10 and LR− > 0.1 is useful for both ruling in and ruling out. However, this test's LR+ (11) is much stronger than its LR− (0.13), making it primarily a confirmatory test, not an exclusionary one.
    Mnemonic
    SnNOut, SpPIn
    • SnNsitive test, Negative result → rules Out disease
    • Specific test, Positive result → rules In disease

    This test has moderate sensitivity (88%) and good specificity (92%), so it's better for ruling IN (SpPIn) than ruling OUT.

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