#3190 · AI & Technology Tool

Data Labeling Statistical Power Calculator

Estimate whether a labeling experiment is large enough to detect an accuracy improvement. Compare baseline and target accuracy with the sample per group to see approximate two-sided power, absolute lift, relative error reduction, and a suggested sample target.

Calculator

Validated planning inputs
%
Expected rate without the change.
%
Rate the experiment should detect.
rows
Equal sample in baseline and treatment.

How to use this calculator

  1. Enter the measured or planned inputs using consistent definitions.
  2. Select the confidence or significance setting when shown.
  3. Choose Calculate to update the main estimate and supporting metrics.
  4. Review the assumptions and interpretation before using the result in a decision.

Formula

Approximate power = Φ[(|p₂−p₁| − zα/2 × SE₀) ÷ SE₁]

The calculation uses equal group sizes and a two-sided normal approximation for two independent proportions.

What the result means

Use the main result together with the supporting bounds, counts, or capacity figures. The estimate is only as reliable as the input definitions, sampling process, and operating assumptions.

Independent random samples are assumed. Paired reviews, repeated items, class imbalance, adjudication rules, and multiple metrics require a tailored analysis.

Example calculation

Comparing 88% with 92% using 500 observations per group produces a 4.0-percentage-point effect. The calculator converts that effect and its standard errors into approximate power.

Tips for better results

  • Write the metric definition before collecting data.
  • Use representative production periods rather than convenient samples.
  • Keep units and inclusion rules consistent across comparisons.
  • Recalculate when traffic mix, system design, or audit rules change.
  • Treat the result as decision support, not a substitute for monitoring and domain review.

Frequently asked questions

What does statistical power mean for this labeling accuracy improvement?

Power is the approximate probability that the specified two-sided test detects the entered difference when that difference is real.

Why does a smaller effect need a larger sample?

Small differences are harder to separate from random sampling variation, so more observations are required.

Is the sample size entered per group or total?

It is the number of observations per group. The displayed total is twice that value for two equal groups.

Does 80% power guarantee a significant result?

No. It describes a long-run detection probability under the assumptions, not a guarantee for one experiment.

Can I use this result for paired observations?

Not directly. Paired or repeated measurements require a method that accounts for within-item correlation.

Power inputs

InputMeaning
Baseline rateExpected control proportion
Target rateSmallest effect of interest
Sample per groupIndependent observations in each arm

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