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Sensitivity and Specificity Calculator

Enter true and false positives and negatives to get sensitivity, specificity, predictive values, likelihood ratios and accuracy, each with a 95% confidence interval.

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Condition presentCondition absent
Test positiveTrue positivesFalse positives
Test negativeFalse negativesTrue negatives

Results

Sensitivity90.0% (95% CI 82.6% to 94.5%)
Specificity85.0% (95% CI 79.4% to 89.3%)
Positive predictive value (PPV)75.0% (95% CI 66.6% to 81.9%)
Negative predictive value (NPV)94.4% (95% CI 90.1% to 97.0%)
Positive likelihood ratio (LR+)6.00
Negative likelihood ratio (LR−)0.118
Diagnostic odds ratio51.00
Accuracy86.7% (95% CI 82.4% to 90.1%)
Prevalence in this sample33.3%PPV and NPV depend on prevalence
Youden's index0.750

Confidence intervals for proportions use the Wilson score method.

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How to Use the Sensitivity & Specificity Calculator

  1. 1

    Enter the 2×2 table

    True positives, false positives, false negatives and true negatives.

  2. 2

    Read the results

    Sensitivity, specificity, PPV, NPV and likelihood ratios.

Sensitivity, specificity and predictive values

Sensitivity is the proportion of people with the condition who test positive; specificity is the proportion without it who test negative. They describe the test itself.

Positive and negative predictive values tell you how likely a result is to be correct, and they depend on how common the condition is in the population tested. Likelihood ratios combine sensitivity and specificity and do not depend on prevalence.

How it is calculated

Sources

Sensitivity & Specificity Calculator: FAQ

Why do PPV and NPV change between populations?

They depend on prevalence. The same test has a lower PPV where the condition is rare.

How do I interpret likelihood ratios?

The further LR+ is above 1, the more a positive result raises the probability of the condition; the closer LR− is to 0, the more a negative result lowers it. Values near 1 change the probability very little.

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