Comparisons of multivariate GRR methods using bootstrap confidence interval/Comparacoes de metodos GRR multivariados usando intervalo de confianca bootstrap

• Published in: Acta scientiarum. Technology 2016-10, p.489
• Main Authors: Peruchi, Rogerio Santana, Maciel, Jr., Helio, Fernandes, Nilson Jose, Balestrassi, Pedro Paulo, de Paiva, Anderson Paulo
• Format: Article
• Language: Spanish
• ISSN: 1806-2563
• DOI: 10.4025/actascitechnol.v38i4.29294

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 BCa (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. Keywords: measurement system analysis, repeatability and reproducibility, multivariate analysis of variance, principal component analysis. Este artigo teve objetivo de comparar o desempenho de estudos GR&R (gage repeatability and reproducibility) multivariados baseados nos metodos PCA (principal component analysis) e Manova (multivariate analysis of variance). As medias aritmetica e geometrica com e sem ponderagao foram implementadas para estimar os indices de medigao multivariados. Para determinar a adequagao dos indices de medigao multivariados, foi adotado o intervalo de confianga bootstrap BCa (bias-corrected and accelerated). Esse intervalo de confianga foi calculado para a media dos indices de medigao univariados estimados de cada caracteristica da qualidade. As analises dos resultados mostraram que as abordagens ponderadas apresentaram melhores estimativas dos indices de avaliagao em estudos GR&R com multiplas variaveis. Palavras-chave: analise de sistemas de medigao, repetitividade e reprodutividade, analise multivariada de variancia, analise de componentes principais.