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Medical Diagnostic Test — Confusion Matrix & Metrics Calculator

Compute accuracy, precision, recall, F1, specificity, MCC and more for medical diagnostic test from TP/FP/FN/TN counts.

Accuracy (%)
Precision (%)
Recall (sensitivity) (%)
F1 score
Specificity (%)
Matthews corr. (MCC)

Medical screening lives and dies by sensitivity (recall) and specificity, plus the often-misunderstood positive predictive value — which depends heavily on disease prevalence. This tool computes all of them and is built to teach why a 99%-accurate test can still be wrong most of the time it says 'positive'.

Formula

precision = TP/(TP+FP) · recall = TP/(TP+FN) · F1 = 2PR/(P+R) · specificity = TN/(TN+FP) · MCC = (TP·TN−FP·FN)/√((TP+FP)(TP+FN)(TN+FP)(TN+FN))
References: Matthews (1975), Comparison of predicted and observed secondary structure (MCC); Powers (2011), Evaluation: From Precision, Recall and F-Measure to ROC, Informedness, Markedness & Correlation

Note: Educational tool for understanding diagnostic-test statistics. Not medical advice; clinical test interpretation must be done by qualified professionals accounting for real prevalence and individual factors.

Disclaimer: This tool is for general informational and estimation purposes only and is not professional financial, tax, accounting or legal advice. All figures are estimates — verify with a qualified professional before making decisions. Read the full disclaimer.

About Medical Diagnostic Test — Confusion Matrix & Metrics Calculator

Medical screening lives and dies by sensitivity (recall) and specificity, plus the often-misunderstood positive predictive value — which depends heavily on disease prevalence. This tool computes all of them and is built to teach why a 99%-accurate test can still be wrong most of the time it says 'positive'. Enter the four confusion-matrix counts and this calculator returns every standard metric — accuracy, precision, recall (sensitivity), F1, specificity and the Matthews correlation coefficient — recomputed live. MCC is highlighted because it is the most honest single number for imbalanced problems: it only scores high when the model does well across all four quadrants, unlike accuracy or F1 which can be gamed.

How to use Medical Diagnostic Test — Confusion Matrix & Metrics Calculator

  1. 1Enter your values into Medical Diagnostic Test — Confusion Matrix & Metrics Calculator — sensible, domain-typical defaults are pre-filled so you see a real result immediately.
  2. 2The result recomputes live using the formula shown on the page; there is no button to press.
  3. 3Adjust any input to compare scenarios, then read the worked example to see the substituted numbers.

Why use Medical Diagnostic Test — Confusion Matrix & Metrics Calculator?

  • Computes Medical Diagnostic Test instantly in your browser — no sign-up, no upload, no server round-trip.
  • 100% free and unlimited, with the exact formula shown: precision = TP/(TP+FP).
  • Runs entirely client-side, so every value you enter stays private on your device.
  • Live recompute as you type, with a worked example and authoritative references for trust.

Frequently asked questions

Sensitivity vs specificity — which matters for a screening test?+

Screening tests prioritize sensitivity (recall): catch every true case even at the cost of false alarms, because missing a disease is worse than a follow-up test. Confirmatory tests then prioritize specificity to weed out the false positives the screen generated.

Why can a positive result from an accurate test still likely be wrong?+

Base rates. For a rare disease (say 0.5% prevalence), even a 95%-specific test produces far more false positives (from the huge healthy majority) than true positives — so positive predictive value is low. This is the base-rate fallacy, and PPV makes it explicit.

Why is MCC considered the most reliable single metric?+

MCC uses all four confusion-matrix cells and behaves like a correlation coefficient (−1 to +1): it is high only when predictions track reality across both classes. On imbalanced data where accuracy and even F1 can mislead, MCC stays informative — which is why it's increasingly the recommended summary statistic.

What's the difference between recall and specificity?+

Recall (sensitivity) is the fraction of actual disease present cases the model catches — TP/(TP+FN). Specificity is the fraction of actual healthy cases it correctly clears — TN/(TN+FP). A model can have high recall and low specificity (flags everything) or vice versa; you need both to judge it.

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