Perfect Sensitivity Formula:
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Perfect sensitivity (1 or 100%) means a test correctly identifies all positive cases. In medical testing, this would mean there are no false negatives - the test catches every case of the condition.
The calculator demonstrates perfect sensitivity with the simple equation:
Where:
Explanation: Regardless of input, the sensitivity is always 1 in this perfect scenario.
Details: Sensitivity is crucial in test design to minimize false negatives. Perfect sensitivity is ideal but often unrealistic in practice due to trade-offs with specificity.
Tips: Enter any positive value to see the perfect sensitivity result. The calculator demonstrates the concept rather than performing complex calculations.
Q1: Is perfect sensitivity achievable in real tests?
A: Rarely. Most tests balance sensitivity with specificity. Perfect sensitivity often comes at the cost of many false positives.
Q2: Where would perfect sensitivity be most important?
A: In screening for serious diseases where missing a case (false negative) could be catastrophic.
Q3: How does this differ from specificity?
A: Sensitivity measures true positive rate, while specificity measures true negative rate.
Q4: What's the relationship with ROC curves?
A: Perfect sensitivity would be the top-left corner of an ROC curve (1,1), though real tests rarely achieve this.
Q5: Can sensitivity be greater than 1?
A: No, sensitivity ranges from 0 to 1, where 1 means all true positives are identified.