Statistics for VDA 5 in Nested Gage R&R Study

The following equations give the uncertainties for the component.

Resolution (uRE)
Repeatability of measured object (uEVO): √(Variance component for repeatability)
Reproducibiltiy of operators (uAV): √(Variance component for operator)
Other factors (uREST)
Measurement Process (uMP)

% of Total

The percentage of the measurement process from each component has the following equation:

The calculation for the percent of the tolerance uses the uncertainty due to the measurement process.

Term	Description
n	the number of measurements
x_i	the measurement of the i^th part
	the mean of n measurements
RE	The resolution of the measurement process. The calculations consider the uncertainty due to resolution if the specifications for the analysis include the resolution.
x_m	the reference measurement
F_i	The uncertainty due to additional factors. The values are from specifications for the analysis.
a	the number of other factors that contribute to uncertainty in the specifications for the analysis
uCAL	The uncertainty due to calibration. The value is 0 unless the specifications for the analysis include the value.
uEVR	The uncertainty due to repeatability at a reference value. The value is 0 unless the specifications for the analysis include the value.
uBI	The uncertainty due to bias. The value is 0 unless the specifications for the analysis include the value.
uLIN	The uncertatinty due to linearity. The value is 0 unless the specifications for the analysis include the value.
u_i	a single component of uncertainty
k₁	Minitab uses the default value of 6 standard deviations from a standard normal distribution to represent 99.73% of your measurements. To change this value, see the Options subdialog box. For example, use the multiplier 5.15 to represent 99% of your measurements.