#3191 · AI & Technology Tool

Data Labeling Confidence Interval Calculator

Estimate a confidence interval for the true accuracy of a labeled dataset from a reviewed sample. Enter the number of labels audited, the number judged correct, and the confidence level. The calculator reports observed accuracy, a Wilson score interval, margin of error, and estimated error count—useful when deciding whether a batch is ready for training or needs more quality review.

Calculator

Planning inputs
labels
The independently audited sample size.
labels
Labels that passed the audit.
%
Common choices are 90%, 95%, and 99%.

How to use this calculator

  1. Enter the number of labels examined in an independent quality audit.
  2. Enter how many reviewed labels were correct under the project guideline.
  3. Choose a confidence level; higher confidence produces a wider interval.
  4. Use the lower bound for conservative release or retraining decisions.

Formula

For sample proportion p̂ = correct ÷ reviewed and z for the selected confidence level, the Wilson interval is (p̂ + z²/2n ± z√(p̂(1−p̂)/n + z²/4n²)) ÷ (1 + z²/n).

What the result means

The interval describes values that are reasonably compatible with the audited sample under binomial sampling. It does not correct for a biased audit sample or inconsistent reviewers.

This is a statistical estimate, not proof that every production label meets the same accuracy level. Sample randomly and audit independently.

Example calculation

With 500 labels reviewed and 460 correct, observed accuracy is 92.00%. At 95% confidence, the Wilson interval is about 89.29% to 94.07%, with an approximate half-width of 2.39 percentage points.

Tips for better results

  • Draw audit records randomly across classes, annotators, and time periods.
  • Define correctness before auditing so reviewers apply the same standard.
  • Use the conservative lower bound when a model release has a strict quality gate.
  • Increase the audit sample to narrow the interval rather than lowering confidence silently.
  • Report class-level intervals when rare labels matter.

Frequently asked questions

Why does this calculator use the Wilson confidence interval?

The Wilson interval behaves better than the simple normal interval when samples are small or accuracy is near 0% or 100%.

Can I use all labeled records as the reviewed sample?

Yes, but the interval is most useful when the reviewed records are an independent, representative audit of a larger batch.

What happens if every reviewed label is correct?

The upper bound reaches 100%, while the lower bound remains below 100% to reflect remaining sampling uncertainty.

Does a 95% confidence interval mean there is a 95% chance the true accuracy is inside it?

Not in the strict frequentist sense. It means the method captures the true proportion in about 95% of repeated comparable samples.

How can I get a narrower accuracy interval?

Review more independent labels, keep the sampling representative, and avoid using a higher confidence level unless it is required.

Inputs and units

InputUnitRole
Labels reviewedlabelsThe independently audited sample size.
Labels correctlabelsLabels that passed the audit.
Confidence level%Common choices are 90%, 95%, and 99%.

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