Skip to content
RDMAICS • FREE PROCESS IMPROVEMENT TOOLS

Gage R&R Components

Combine separately estimated repeatability, reproducibility and part variation components.

Measure

Gage R&R Components

Browser-only calculations · No input data saved

For tables: one row per line, comma-separated columns, no header row. Avoid commas inside labels. Changing an input clears previous results.

Worked example results

Gage R&R sigma
1.118034
Total sigma
5.123475
Gage R&R study variation (%)
21.821789
Gage R&R variance contribution (%)
4.761905
Precision / tolerance (%)
16.77051
Distinct categories (ndc)
6

Rounded for display only. Export includes the inputs, results, method and assumptions. Refreshing or leaving the tool clears entered data.

How to use Gage R&R Components

  1. Load the worked example to see the required input format.
  2. Combine separately estimated repeatability, reproducibility and part variation components. Use consistent units, periods and definitions.
  3. Select Calculate, review the assumptions and export the result for your project evidence.

Formula and method

σGRR = √(σrepeat² + σreprod²); σtotal = √(σGRR² + σpart²); %study variation = σGRR/σtotal × 100; ndc = floor(1.41 σpart/σGRR).

Interpretation and assumptions

This is a component-combination helper, not a crossed ANOVA or average-and-range study. Supply standard deviations, not variances. Components must come from a designed measurement-system study with representative parts and operators.

Results support professional judgement. They are not a certification of process stability, a financial commitment or a substitute for study design.

Frequently asked questions

How do I use the gage r&r components?

Combine separately estimated repeatability, reproducibility and part variation components. Load the example first, then replace all inputs with consistent process data and select Calculate. σGRR = √(σrepeat² + σreprod²); σtotal = √(σGRR² + σpart²); %study variation = σGRR/σtotal × 100; ndc = floor(1.41 σpart/σGRR).

What assumptions matter for gage r&r components?

This is a component-combination helper, not a crossed ANOVA or average-and-range study. Supply standard deviations, not variances. Components must come from a designed measurement-system study with representative parts and operators.

Are my calculator inputs saved or sent to a server?

These native calculations run in this browser tab. Inputs are not sent to a server or saved by this calculator. Download the result if you need a record; leaving or refreshing clears the form.