Quality & Metrology calculator

Gauge R&R Percentage Calculator

Assess the measurement share of variation in a completed gauge study. Enter standard deviation components on one dimensional basis and your approved percentage limit.

What this calculator does

  • Compare combined measurement standard deviation with total study variation and your entered acceptance limit.

Formula used

  • Gauge standard deviation = sqrt(repeatability² + reproducibility²)
  • Total standard deviation = sqrt(gauge deviation² + part deviation²)
  • Study percentage = gauge deviation ÷ total deviation × 100
  • Variance share = gauge variance ÷ total variance × 100
  • Limit margin = maximum study percentage − study percentage

Inputs explained

  • Repeatability Standard Deviation: Equipment component from the completed variance-component study.
  • Reproducibility Standard Deviation: Study component including applicable operator and interaction effects.
  • Part-To-Part Standard Deviation: Part component from that same representative study.
  • Maximum Study Percentage: Approved maximum measurement share of total study standard deviation.

How to use the result

  • Best suited to completed gauge study Review, measurement contribution comparison.
  • This summary does not estimate components from raw crossed study data. Study percentage differs from percent tolerance and variance contribution.

Current U.S. benchmarks

  • U.S. manufacturing runs at 75.7% of capacity (Federal Reserve, Aug 2026). New factory orders are up 8.5% year over year (Census).

Common questions

  • Can I enter six-sigma study widths? Convert every component to a standard deviation first. Mixing a study width with standard deviations changes the combined result.
  • Can total tolerance replace part variation? No, part standard deviation represents observed process variation. Drawing tolerance belongs to a separate percent-tolerance assessment.
  • Why is the variance percentage smaller? Variance contribution uses squared standard deviations. Its denominator and interpretation differ from the study percentage used by the headline.
  • Is ten percent always the acceptance limit? No, enter the limit required by your customer or measurement plan. The illustrative default is not a universal acceptance standard.

Related guides

Last reviewed 2026-10-06.