Mathematical Problems in Engineering / 2017 / Article / Alg 1

Research Article

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

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