Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
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Bootstrap Confidence Intervals of Precision-to-Tolerance Ratio

PTR의 붓스트랩 신뢰구간

  • Chang, Mu-Seong (Department of Industrial and Systems Engineering, Changwon National University) ;
  • Kim, Sang-Boo (Department of Industrial and Systems Engineering, Changwon National University)
  • 장무성 (창원대학교 산업시스템공학과) ;
  • 김상부 (창원대학교 산업시스템공학과)
  • Published : 2007.06.30
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Abstract

ANOVA is widely used for measurement system analysis. It assumes that the measurement error is normally distributed, which may not be seen in certain industrial cases. In this study, the exact and bootstrap confidence intervals for precision-to-tolerance ratio (PTR) are obtained for the cases where the measurement errors are normally and non-normally distributed and the reproducibility variation can be ignored. Lognormal and gamma distributions are considered for non-normal measurement errors. It is assumed that the quality characteristics have the same distributions of the measurement errors. Three different bootstrap methods of SB (Standard Bootstrap), PB (Percentile Bootstrap), and BCPB (Biased-Corrected Percentile Bootstrap) are used to obtain bootstrap confidence intervals for PTR. Based on a coverage proportion of PTR, a comparative study of exact and bootstrap methods is performed. Simulation results show that, for non-normal measurement error cases, the bootstrap methods of SB and BCPB are superior to the exact one.

Keywords

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