Gage R&R-Based Combined Standard Uncertainty Estimator calculator

Quick Answer

Calculate Gage R&R-Based Combined Standard Uncertainty Estimator

Result Interpretation

Gage R&R-Based Combined Standard Uncertainty Estimator calculator computes Combined standard uncertainty in m using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Repeatability standard deviation = 0.00012
Reproducibility standard deviation = 8.0E-5
Calibration standard uncertainty = 5.0E-5
Environmental drift uncertainty = 3.0E-5
Resolution uncertainty (rectangular) = 2.89E-5
Stability uncertainty (long-term) = 4.0E-5
Reference material uncertainty = 1.5E-5

Expected Result:

Combined standard uncertainty = 0.00016528925619835

Engineering Interpretation:

Under the given input conditions, the calculated result is: Combined standard uncertainty = 0.00016528925619835 m.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

combined standard uncertainty = sqrt(pow(repeatability standard deviation, 2) + pow(reproducibility standard deviation, 2) + pow(calibration standard uncertainty, 2) + pow(environmental drift uncertainty, 2) + pow(rectangular, 2) + pow(long-term, 2) + pow(reference material uncertainty, 2))

Formula family: formula_metrology_uncertainty_calculator

Variables

Symbol	Label	Role	Description
Repeatability standard deviation	Repeatability standard deviation	INPUT	Repeatability standard deviation
Reproducibility standard deviation	Reproducibility standard deviation	INPUT	Reproducibility standard deviation
Calibration standard uncertainty	Calibration standard uncertainty	INPUT	Calibration standard uncertainty
Environmental drift uncertainty	Environmental drift uncertainty	INPUT	Environmental drift uncertainty
Resolution uncertainty (rectangular)	Resolution uncertainty (rectangular)	INPUT	Resolution uncertainty (rectangular)
Stability uncertainty (long-term)	Stability uncertainty (long-term)	INPUT	Stability uncertainty (long-term)
Reference material uncertainty	Reference material uncertainty	INPUT	Reference material uncertainty
Combined standard uncertainty	Combined standard uncertainty	OUTPUT	Combined standard uncertainty

Calculation Steps

Enter the repeatability standard deviation in m.
Enter the reproducibility standard deviation in m.
Enter the calibration standard uncertainty in m.
Enter the environmental drift uncertainty in m.
Enter the resolution uncertainty (rectangular) in m.
Enter the stability uncertainty (long-term) in m.
Enter the reference material uncertainty in m.
Step 1: Compute combined standard uncertainty.
Read the combined standard uncertainty (m) from the results.

Engineering Summary

Calculate Gage R&R-Based Combined Standard Uncertainty Estimator

Frequently Asked Questions

What does this calculator calculate?

The Gage R&R-Based Combined Standard Uncertainty Estimator calculator estimates Combined standard uncertainty based on the input parameters you provide

Why is repeatability standard deviation important in this calculation?

repeatability standard deviation is directly proportional to combined standard uncertainty. When you enter repeatability standard deviation in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result combined standard uncertainty?

The calculator outputs combined standard uncertainty in m. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Repeatability standard deviation (m), Reproducibility standard deviation (m), Calibration standard uncertainty (m), Environmental drift uncertainty (m), Resolution uncertainty (rectangular) (m), Stability uncertainty (long-term) (m), Reference material uncertainty (m). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment