Sensitivity

Measure of the true-positive rate

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Affiliations

Doctor of Physical Therapy

B.S. in Kinesiology

Doctor of Physical Therapy

B.A. in Neuroscience

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Sensitivity is a psychometric measure that quantifies the rate of true positives to total positives2. Sensitivity can apply to clinical tests that output a binary result: Normal vs Abnormal

Calculation

Sensitivity quantifies true positive rate by finding the percent of people with disease who tested positive divided by total disease population.

Disease Present Disease Absent Total
Abnormal (positive) test result A B (false positives) A + B
Normal (negative) test result C (false negative) D C + D
Total A + C B + D A + B + C + D

\[ \textrm{Sensitivity} = \frac{(\textrm{True Positive})}{(\textrm{True Positive} + \textrm{False Negative})} = \frac{(\textrm{True Positive})}{(\textrm{Total Positive})} \]

Clinical Relevance

One should use sensitivity (and specificity) as a way to assess the performance of a diagnostic test2. To predict whether a particular person will truly have the disease based on a positive or negative test result, one should use Positive predicitve value (PPV) and Negative predictive value (NPV)2.

References

1.
Motulsky H. Intuitive Biostatistics: A Nonmathematical Guide to Statistical Thinking. 4th ed. Oxford University Press; 2018.
2.
Monaghan TF, Rahman SN, Agudelo CW, et al. Foundational Statistical Principles in Medical Research: Sensitivity, Specificity, Positive Predictive Value, and Negative Predictive Value. Medicina (Kaunas, Lithuania). 2021;57(5):503. doi:10.3390/medicina57050503

Citation

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