Assessment of the Adequacy of Gauge Repeatability and Reproducibility Study Using a Monte Carlo Simulation

Algorithm 1

For 1 to Do:

Step . Assign a set of variance components, () according to the assigned experimental design in

Tables 4 and 5.

Step . Generate size of populations of effects with , , , and, where

denotes a truncated Normal distribution bounded by for .

Step . Calculate true variance components () and the true values of performance metrics from

the populations of effects.

For 1 to Do:

For 1 to Do:

Step . Generate observations.

Step -1. Select samples from each population of effects by the experimental design in Table 6.

Step -2. Generate observations by the structural models of Equation (1) and (3), respectively.

Step .

Step -1. Perform the AGRR with the observations.

Step -2. Calculate variance components ()

Step -3. Calculate the performance metrics for the crossed design and the nested design, respectively.

End

Step . Calculate mean of performance metrics for the crossed design and the nested design.

End

End