Sensitivity Calculator

Sensitivity — also called recall or the true positive rate — measures how good a test is at detecting the condition it looks for: TP ÷ (TP + FN). It is the primary quality metric for medical screening and detection systems, where missing a real positive is the worst failure. Enter your confusion-matrix counts and get sensitivity plus the false negative rate.

Correctly predicted positives.

Predicted positive but actually negative.

Predicted negative but actually positive.

Correctly predicted negatives.

Result

Enter your values and press Calculate — the result appears here.

Worked examples

A test that catches 50 of 55 cases

  • tp = 50
  • fp = 10
  • fn = 5
  • tn = 35

Result: Sensitivity 0.9091 · False negative rate 0.0909

Perfect detection

  • tp = 40
  • fp = 8
  • fn = 0
  • tn = 52

Result: Sensitivity 1.00

Frequently asked questions

What does sensitivity measure?

The proportion of actual positives the test detected. A 90.91% sensitive test finds 50 of every 55 real cases and misses the other 5 — those misses are the false negatives.

Is sensitivity the same as recall?

Yes — identical formula (TP ÷ (TP + FN)). Medicine and diagnostics usually say sensitivity; information retrieval and machine learning usually say recall.

Why is sensitivity so important in screening?

In screening, failing to detect a disease is far worse than a false alarm. A highly sensitive test rarely misses real cases, which is why sensitivity is paired with specificity when evaluating medical tests.

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