Journal of the Korea Safety Management & Science (대한안전경영과학회지)

Korea Safety Management & Science (대한안전경영과학회)
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Estimation of Gauge R&R by Variance Components of Measurement ANOVA

측정 ANOVA의 분산성분에 의한 게이지 R&R 추정

  • Received : 2009.09.30
  • Accepted : 2009.12.04
  • Published : 2010.03.31
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Abstract

The research proposes the three-factor random measurement models for estimating the precision about operator, part, tool, and various measurement environments. The combined model with crossed and nested factors is developed to analyze the approximate F test by degrees of freedom given by Satterthwaite and point estimation of precisions from expected mean square. The model developed in this paper can be extended to the three useful models according to the type of nested designs. The study also provides the three-step procedures to evaluate the measurement precisions using three indexes such as SNR(Signal-To-Noise Ratio), R&R TR(Reproducibility&Repeatability-To-Total Precision Ratio), and PTR(Precision-To-Tolerance Ratio), The procedures include the identification of resolution, the improvement of R&R reduction, and the evaluation of precision effect.

Keywords

References

  1. 이승훈외, "군간-군내-부품내 변동을 고려한 Gage R&R 분석에 관한 연구", 한국경영과학회/대한산업공학회, 춘계공동학술대회, (2005) : 975-982.
  2. 최성운, "게이지 R&R 연구에서 근사 F 검정과 EMS를 이용한 측정 정밀도의 평가", 대한안전경영과학회지, 11(3) (2009) : 209-216.
  3. Borror CM, Montgomery D.C, Runger G.C., "Confidence Intervals for Variance Components from Gauge Capability Studies", Quality and Reliablity Engineering International, B (1997) : 361-369.
  4. Burdick R.K., Larsen G.A., "Confidence Intervals on Measures of Variability in R&R Studies", Journal of Quality Technology, 29 (3) (1997) : 261-273. https://doi.org/10.1080/00224065.1997.11979768
  5. Burdick R.K., Allen A.E., Larsen G.A., "Comparing Variability of Two Measurement Processes Using R&R Studeis", Journal of Quality Technology, 34(1) (2002) : 97-105. https://doi.org/10.1080/00224065.2002.11980132
  6. Burdick R.K, Borror C.M., Montgomery D.C., "A Review of Methods for Measurement Systems Capability Analysis", Journal of Quality Technology, 25 (4) (2003) : 342-354.
  7. Burdick R.K. Park Y.J., Montgomery D.C., "Confidence Intervals for Misclassification Rates in a Gauge R&R Study", Journal of Quality Technology, 37 (4) (2005) : 294-303. https://doi.org/10.1080/00224065.2005.11980332
  8. Burdick R.K, Borror C.M., Montgomery D.C., "Design and Analysis of Gauge R&R Studies", SIAM, 2005.
  9. Chiang A.K.L., "A Simple General Method for Constructing Confidence Intervals for Functions of Variance Components", Technometrics, 43 (3) (2001) : 356-367. https://doi.org/10.1198/004017001316975943
  10. De Mast J., Trip A., "Gauge R&R Studies for Destructive Measurements", Journal of Quality Technology, 37 (1) (2005) :40-49. https://doi.org/10.1080/00224065.2005.11980299
  11. Montgomery D.C., Runger G.C., "Gauge Capability Analysis and Designed Expeniments PartII : Experimental Design Models and Variance Component Estimation", Quality Engineening, 6 (2) (1993) : 289-305. https://doi.org/10.1080/08982119308918725
  12. Vardeman S.B., Van Valkenburg E.S., "Two-Way Random-Effects Analysis and Gauge R&R Studies", Technometrics, 41 (3) (1999) : 202-211. https://doi.org/10.2307/1270565