Recall (Sensitivity) Calculator
Ability to find all positive instances.
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
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.
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
- Wikipedia: Precision and recall
- An Introduction to Statistical Learning: With Applications in R (James, Witten, Hastie, Tibshirani)
- Wikipedia: Sensitivity and specificity
- An Introduction to Statistical Learning: with Applications in R by James, Witten, Hastie, Tibshirani (Springer, 2013)
- The Elements of Statistical Learning: Data Mining, Inference, and Prediction by Hastie, Tibshirani, Friedman (Springer, 2009)
- Precision and recall Wikipedia article
- OCR A-Level Computer Science — Algorithms and Data