How does the R O C Curve Calculator work?

TPR = TP/(TP+FN), FPR = FP/(FP+TN) Then: Vary classification threshold Then: Plot all (FPR, TPR) pairs Then: AUC = area under curve; 0.5 = random, 1.0 = perfect.

Can you give an example of how to use the R O C Curve Calculator?

Example: Input Sensitivity/specificity gives a result of AUC value.

Is the R O C Curve Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the R O C Curve Calculator?

Our R O C Curve Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

R O C Curve Calculator

ROC Curve Analysis

True Positives

False Positives

True Negatives

False Negatives

Constructs ROC curve plotting true positive rate vs. false positive rate for diagnostic tests.

Symbol	Name	Unit	Description
TPR	TP/(TP+FN)	—	TP/(TP+FN)
TP	FP/(FP+TN)	—	FP/(FP+TN)
FN	FP/(FP+TN)	—	FP/(FP+TN)
FPR	FP/(FP+TN)	—	FP/(FP+TN)
FP	FP value	—	Variable used in the calculation
TN	TN value	—	Variable used in the calculation

Difficulty:advanced

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Did You Know?

ROC curves originate from WWII radar signal detection; now standard in ML model evaluation.

References

›ROC Curve Guide

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R O C Curve Calculator

ROC Curve Analysis

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ROC Curve Analysis