Robust Estimation of Optimal Sample Size for CMM Measurements with Statistical Tolerance Limits

Petr Chelishchev; Aleksandr Popov; Knut Sørby

doi:10.1051/matecconf/201822004001

All issues

Volume 220 (2018)

MATEC Web Conf., 220 (2018) 04001

References

Open Access

Issue		MATEC Web Conf. Volume 220, 2018 2018 The 2^nd International Conference on Mechanical, System and Control Engineering (ICMSC 2018)


Article Number		04001
Number of page(s)		5
Section		Mechanical Engineering and Measurement Technology
DOI		https://doi.org/10.1051/matecconf/201822004001
Published online		29 October 2018

Chiffre, L.D., Geometrical Metrology and Machine Testing, DTU Mechanical Engineering, (2011) [Google Scholar]
Jiang, B. and S.-D. Chiu, Form tolerance-based measurement points determination with CMM, Journal of Intelligent Manufacturing, 13(2): p. 101-108, (2002) [CrossRef] [Google Scholar]
Hong-Tznong Yau, C.-H.M., An automated dimensional inspection environment, (1992) [Google Scholar]
N. Cappetti, A.N., F. Villecco, Fuzzy approach to measures correction on Coordinate Measuring Machines: The case of hole-diameter verification, Measurement, 93 (Elsevier Ltd.): p. 41-47, (2016) [CrossRef] [Google Scholar]
Changcai Cui, S.F., Fugui Huang, Research on the uncertainties from different form error evaluation methods by CMM sampling, Int J Adv Manuf Technol, 43: p. 136–145, (2008) [Google Scholar]
K. D. Summerhays, R.P. Henke, J. M. Baldwin, R. M. Cassou and C. W. Brown, Optimizing discrete point sample patterns and measurement data analysis on internal cylindrical surfaces with systematic form deviations, Precision Engineering, 26(1): p. 105-121, (2002) [CrossRef] [Google Scholar]
G. Barbato, E.M.B., P. Pedone, D. Romano, G. Vicario, Sampling point sequential determination by kriging for tolerance verification with CMM, in Proceedings of the 9th Biennial ASME Conference on Engineering Systems Design and Analysis, ESDA08, ASME: Israel. p. 10, (2008) [Google Scholar]
S. Ruffa, G.D. Panciani, F. Ricci, and G. Vicario, Assessing measurement uncertainty in CMM measurements: comparison of different approaches, Int. J. Metrol. Qual. Eng. 4, p. 163-168, (2013) [CrossRef] [EDP Sciences] [Google Scholar]
A.Weckenmann, M. Knauer, H. Kunzmann, The influence of measurement strategy on the uncertainty of CMM measurements, 47: p. 451–454, (1998) [Google Scholar]
ISO 16269-6, Determination of statistical tolerance intervals, in Statistical interpretation of data, (2014) [Google Scholar]
I. Janiga, I. Garaj, V. Witkovský, On Exact Two-Sided Statistical Tolerance Intervals for normal distributions with unknown means and unknown common variability, Journal of Mathematics and Technology, 3: p. 25–32, (2012) [CrossRef] [Google Scholar]
Janiga, I., Garaj, I., On exact two-sided statistical tolerance intervals for normal distributions with unknown means and unknow common variability, In 2009 Quality and Productivity Research Conference, Yorktown Heights, Nerw York: IBM Thomas J. Watson Research Center, (2009) [Google Scholar]
Royston, P., An extension of Shapiro and Wilk’s W test for normality to large samples, Applied Statistics, 31: p. 151–124, (1982) [Google Scholar]
Wilks S.S., Determination of Sample Sizes for Setting Tolerance Limits, AMS Ann. Math. Statist., 12: p. 91–96, (1941) [CrossRef] [Google Scholar]
Wilks S.S., Statistical Prediction with Special Reference to the Problem of Tolerance Limits, AMS Ann. Math. Statist., 13: p. 400–409, (1942) [CrossRef] [Google Scholar]
Alexandre B.T., Introduction to Nonparametric Estimation, New York: Spring-Verlag, (2009) [Google Scholar]
Wand M.P., Jones M.C., Kernel Smoothing, Monographs on statistics and applied probability, Boca Raton, FlaChapman&Hall/CRC, (1995) [Google Scholar]

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[1] Chiffre, L.D., Geometrical Metrology and Machine Testing, DTU Mechanical Engineering, (2011) [Google Scholar]

[2] Jiang, B. and S.-D. Chiu, Form tolerance-based measurement points determination with CMM, Journal of Intelligent Manufacturing, 13(2): p. 101-108, (2002) [CrossRef] [Google Scholar]

[3] Hong-Tznong Yau, C.-H.M., An automated dimensional inspection environment, (1992) [Google Scholar]

[4] N. Cappetti, A.N., F. Villecco, Fuzzy approach to measures correction on Coordinate Measuring Machines: The case of hole-diameter verification, Measurement, 93 (Elsevier Ltd.): p. 41-47, (2016) [CrossRef] [Google Scholar]

[5] Changcai Cui, S.F., Fugui Huang, Research on the uncertainties from different form error evaluation methods by CMM sampling, Int J Adv Manuf Technol, 43: p. 136–145, (2008) [Google Scholar]

[6] K. D. Summerhays, R.P. Henke, J. M. Baldwin, R. M. Cassou and C. W. Brown, Optimizing discrete point sample patterns and measurement data analysis on internal cylindrical surfaces with systematic form deviations, Precision Engineering, 26(1): p. 105-121, (2002) [CrossRef] [Google Scholar]

[7] G. Barbato, E.M.B., P. Pedone, D. Romano, G. Vicario, Sampling point sequential determination by kriging for tolerance verification with CMM, in Proceedings of the 9th Biennial ASME Conference on Engineering Systems Design and Analysis, ESDA08, ASME: Israel. p. 10, (2008) [Google Scholar]

[8] S. Ruffa, G.D. Panciani, F. Ricci, and G. Vicario, Assessing measurement uncertainty in CMM measurements: comparison of different approaches, Int. J. Metrol. Qual. Eng. 4, p. 163-168, (2013) [CrossRef] [EDP Sciences] [Google Scholar]

[9] A.Weckenmann, M. Knauer, H. Kunzmann, The influence of measurement strategy on the uncertainty of CMM measurements, 47: p. 451–454, (1998) [Google Scholar]

[10] ISO 16269-6, Determination of statistical tolerance intervals, in Statistical interpretation of data, (2014) [Google Scholar]

[11] I. Janiga, I. Garaj, V. Witkovský, On Exact Two-Sided Statistical Tolerance Intervals for normal distributions with unknown means and unknown common variability, Journal of Mathematics and Technology, 3: p. 25–32, (2012) [CrossRef] [Google Scholar]

[12] Janiga, I., Garaj, I., On exact two-sided statistical tolerance intervals for normal distributions with unknown means and unknow common variability, In 2009 Quality and Productivity Research Conference, Yorktown Heights, Nerw York: IBM Thomas J. Watson Research Center, (2009) [Google Scholar]

[13] Royston, P., An extension of Shapiro and Wilk’s W test for normality to large samples, Applied Statistics, 31: p. 151–124, (1982) [Google Scholar]

[14] Wilks S.S., Determination of Sample Sizes for Setting Tolerance Limits, AMS Ann. Math. Statist., 12: p. 91–96, (1941) [CrossRef] [Google Scholar]

[15] Wilks S.S., Statistical Prediction with Special Reference to the Problem of Tolerance Limits, AMS Ann. Math. Statist., 13: p. 400–409, (1942) [CrossRef] [Google Scholar]

[16] Alexandre B.T., Introduction to Nonparametric Estimation, New York: Spring-Verlag, (2009) [Google Scholar]

[17] Wand M.P., Jones M.C., Kernel Smoothing, Monographs on statistics and applied probability, Boca Raton, FlaChapman&Hall/CRC, (1995) [Google Scholar]