Data & ComputingEvaluation MetricsA-Level
CambridgeAQAAPIBAbiturBaccalauréat GénéralBachilleratoCAPS

Recall (Sensitivity) Calculator

Ability to find all positive instances.

Use the free calculatorCheck the variablesOpen the advanced solver
This is the free calculator preview. Advanced walkthroughs stay in the app.
Result
Ready
Recall

Formula first

Overview

Recall, also known as sensitivity or the true positive rate, quantifies the ability of a classification model to identify all relevant instances within a dataset. It calculates the ratio of correctly predicted positive observations to the total number of actual positives, focusing on the cost of false negatives.

Symbols

Variables

R = Recall, TP = True Positives, FN = False Negatives

Recall
True Positives
False Negatives

Apply it well

When To Use

When to use: Use recall when the primary goal is to minimize false negatives, ensuring that as many positive cases as possible are captured. It is particularly critical in scenarios like medical diagnostics or emergency alert systems where missing a positive result carries a high risk.

Why it matters: High recall is essential in safety-critical applications because it ensures that fewer actual threats or diseases go undetected. In business, it helps in lead generation or fraud detection where capturing every potential opportunity or risk is prioritized over the inconvenience of false alarms.

Avoid these traps

Common Mistakes

  • Confusing recall with precision.
  • Using FP instead of FN.

One free problem

Practice Problem

A diagnostic test for a rare disease correctly identified 85 patients with the condition. However, 15 patients who actually had the disease were incorrectly told they were healthy. Calculate the Recall (Sensitivity) of this test.

True Positives85
False Negatives15

Solve for:

Hint: Divide the correctly identified positives by the total number of actual positive cases, which is the sum of TP and FN.

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. Wikipedia: Precision and recall
  2. An Introduction to Statistical Learning: With Applications in R (James, Witten, Hastie, Tibshirani)
  3. Wikipedia: Sensitivity and specificity
  4. An Introduction to Statistical Learning: with Applications in R by James, Witten, Hastie, Tibshirani (Springer, 2013)
  5. The Elements of Statistical Learning: Data Mining, Inference, and Prediction by Hastie, Tibshirani, Friedman (Springer, 2009)
  6. Precision and recall Wikipedia article
  7. OCR A-Level Computer Science — Algorithms and Data