Bootstrap resampling as a tool for calculating uncertainty measurement / Reamostragem bootstrap como uma ferramenta para calcular a incerteza de medição

Authors

  • Lidiane Ferrari Gouvea
  • Anderson Ara
  • Rodrigo Luiz Gigante
  • Rogério Augusto Spatti
  • Francisco Louzada

DOI:

https://doi.org/10.34115/basrv4n3-013

Keywords:

Metrology, Measuring Uncertainty, Resampling, Bootstrap.

Abstract

The objective of this paper is to provide an applied research comparing the traditional and bootstrap methods to calculate the measure uncertainty. For this purpose, were performed a dimension analysis for internal and external diameter on one lot with around one hundred parts from a Brazilian company. Following, were performed resamples with replacement – bootstrap samples – for each dimension obtained and then the uncertainty calculation. After that, it was concluded that the proposed method is the most appropriate, because decreases the bias of estimation when it works with small sample size, which is common on metrology works. The companies researched assert that they do not perform the uncertainty calculation on dimension analysis in measuring; they only perform the involved instruments calibration. It justifies calculation using the bootstrap method proposed on this work.

References

Efron, B. 1979. “Bootstrap Methods: Another Look at the J. Ann. Statist”. Volume 7, Number 1, (1979) 1-26.

Incerpi, PH. 2008. “Incerteza de medição – Método proposto para a análise da conformidade do produto”. Universidade Federal de Itajubá. Dissertação de Mestrado. Programa de Pós-graduação em Engenharia de Produção. 2008. Disponível em: http://adm-net-a.unifei.edu.br/phl/pdf/0032953.pdf. Acesso em 20 jul. 2012.

INMETRO. 2009. “Vocabulário Internacional de Metrologia: conceitos fundamentais e gerais e termos associados (VIM 2008)”. 1 ed. Rio de Janeiro, 2009.

INMETRO. 2012. “Metrologia Científica”, 2012. Disponível em: < http://www.inmetro.gov.br/metcientifica/>. Acesso em 18 jul. 2012.

Noronha, JL. 2008. “Procedimentos de cálculo de incerteza de medição em medições diretas e indiretas”, 2008. Disponível em: < http://www.barca.unifei.edu.br/metrologia.html>. Acesso em 18 jul. 2012.

Published

2020-05-11

How to Cite

Gouvea, L. F., Ara, A., Gigante, R. L., Spatti, R. A., & Louzada, F. (2020). Bootstrap resampling as a tool for calculating uncertainty measurement / Reamostragem bootstrap como uma ferramenta para calcular a incerteza de medição. Brazilian Applied Science Review, 4(3), 901–912. https://doi.org/10.34115/basrv4n3-013

Issue

Section

Original articles