ROC AUC Calculator

Area under the ROC curve via the trapezoidal rule over descending scores; equal scores share one threshold point so ties are handled exactly.

Description

Area under the ROC curve via the trapezoidal rule over descending scores; equal scores share one threshold point so ties are handled exactly.

ROC AUC Calculator is a focused tool for the following task. Area under the ROC curve via the trapezoidal rule over descending scores; equal scores share one threshold point so ties are handled exactly. It reports AUC, Positives, Negatives from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use ROC AUC

Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Scores
Required list. Predicted scores, higher means more positive.
Labels
Required list. True labels aligned with scores: 1 positive, 0 negative.

The cited overview of Receiver operating characteristic supplies background for the terminology and domain context used by this tool.1

How ROC AUC works

Area under the ROC curve via the trapezoidal rule over descending scores; equal scores share one threshold point so ties are handled exactly. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

AUC
Returned number. Trapezoidal area under the ROC curve between 0 and 1.
Positives
Returned integer. Count of positive labels.
Negatives
Returned integer. Count of negative labels.

Limitations and assumptions

  • A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

References

  1. Receiver operating characteristic — Wikipedia contributors

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