<b>Comparisons of multivariate GR&R methods using bootstrap confidence interval

Rogério Santana Peruchi; Helio Maciel Junior; Nilson José Fernandes; Pedro Paulo Balestrassi; Anderson Paulo Paiva

doi:10.4025/actascitechnol.v38i4.29294

<b>Comparisons of multivariate GR&R methods using bootstrap confidence interval

Authors

Rogério Santana Peruchi Universidade Federal de Goiás
Helio Maciel Junior Universidade Federal de Itajubá
Nilson José Fernandes Universidade Federal de Goiás
Pedro Paulo Balestrassi Universidade Federal de Itajubá
Anderson Paulo Paiva Universidade Federal de Itajubá

DOI:

https://doi.org/10.4025/actascitechnol.v38i4.29294

Keywords:

measurement system analysis, repeatability and reproducibility, multivariate analysis of variance, principal component analysis.

Abstract

This paper aimed to compare the performance of multivariate GR&R (gage repeatability and reproducibility) studies based on PCA (principal component analysis) and Manova (multivariate analysis of variance) methods. To estimate the multivariate gauge index, geometric and arithmetic means have been implemented with and without weighting strategies. Bootstrap confidence interval based on BC_a (bias-corrected and accelerated) method has been adopted to determine multivariate gauge index adequacy. This confidence interval was calculated for the mean of univariate gauge indices estimated from each quality characteristic. The result analyses have shown that weighted approaches provided the best estimates of gauge index in multivariate GR&R studies.

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Author Biography

Rogério Santana Peruchi, Universidade Federal de Goiás

Professor Adjunto da Faculdade de Engenharia e Administração pela Universidade Federal de Goiás, Regional Catalão. Pós-Doutor em Engenharia de Produção pela Universidade Federal de Itajubá (2015). Doutor em Engenharia de Produção pela Universidade Federal de Itajubá (2014) com período sanduíche na University of Tennessee at Knoxville (2013). Possui graduação em Engenharia de Produção Mecânica (2009) e mestrado em Engenharia de Produção (2011) pela Universidade Federal de Itajubá. Tem atuado nas áreas de Análise de Sistemas de Medição, Controle Estatístico de Processos, Projeto de Experimentos, Otimização Multiobjetivo, Estatística Multivariada e Seis Sigma.

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Published

2016-08-26

How to Cite

Peruchi, R. S., Maciel Junior, H., Fernandes, N. J., Balestrassi, P. P., & Paiva, A. P. (2016). <b>Comparisons of multivariate GR&R methods using bootstrap confidence interval. Acta Scientiarum. Technology, 38(4), 489–496. https://doi.org/10.4025/actascitechnol.v38i4.29294

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Issue

Vol. 38 No. 4 (2016)

Section

Statistics

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