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Mathematical Problems in Engineering
Volume 2017, Article ID 7237486, 15 pages
Research Article

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

1School of Information & Computer Engineering, Hongik University, 94 Wausan-ro, Mapo-gu, Seoul 04066, Republic of Korea
2School of Mechanical, Industrial and Manufacturing Engineering, Oregon State University, Corvallis, OR 97330, USA
3Department of Industrial and Management Engineering, Myongji University, 116 Myonggi-Ro, Cheoin-Gu, Yongin-Si, Gyeonggi-Do 449-728, Republic of Korea

Correspondence should be addressed to SeJoon Park; ten.liamnah@jspumnos

Received 7 March 2017; Accepted 20 June 2017; Published 15 August 2017

Academic Editor: J.-C. Cortés

Copyright © 2017 Chunghun Ha et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


ANOVA gauge repeatability and reproducibility study is the most popular tool for measurement system analysis. Two experimental designs can be applied depending on the durability of the objects. If repeated measurements are possible or sufficient homogeneous nonrepeatable samples are available, crossed design is appropriate; otherwise, nested design should be used. In this paper, we investigated the adequacy of ANOVA gauge repeatability and reproducibility study from the perspective of practitioners. We proposed a Monte Carlo simulation that is close to the realistic procedure to evaluate the adequacy of both structures. During the evaluation, we considered the average performance metrics, percentage of correct decision, histogram shape, and symmetric mean absolute percentage error for the four popular performance metrics, namely, % Study Variation, % Contribution, % Tolerance, and the number of distinct categories. The experimental results show that the nested design fails to judge the precision of the gauge while the crossed design succeeds.