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Articles

Performance of the hotelling T2 control chart for compositional data in the presence of measurement errors

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Pages 2583-2602 | Received 25 Jul 2018, Accepted 30 Mar 2019, Published online: 12 Apr 2019

References

  • J. Aitchison, The Statistical Analysis of Compositional Data, Monographs on Statistics and Applied Probability, Springer, Netherlands, 2011.
  • C.A. Bennett, Effect of measurement error on chemical process control, Ind. Qual. Control 10 (1954), pp. 17–20.
  • D. Billheimer, P. Guttorp, and W.F. Fagan, Statistical interpretation of species composition, J. Am. Stat. Assoc. 96 (2001), pp. 1205–1214.
  • R.A. Boyles, Using the Chi-square statistic to monitor compositional process data, J. Appl. Stat. 24 (1997), pp. 589–602.
  • X.B. Cheng and F.K. Wang, The performance of EWMA median and CUSUM median control charts for a normal process with measurement errors, Qual. Reliab. Eng. Int. 34 (2018), pp. 203–213.
  • X.B. Cheng and F.W. Wang, VSSI median control chart with estimated parameters and measurement errors, Qual. Reliab. Eng. Int. 34 (2018), pp. 867–881.
  • A.K. Dizabadi, M. Shahrokhi, and M.R. Maleki, On the effect of measurement error with linearly increasing-type variance on simultaneous monitoring of process mean and variability, Qual. Reliab. Eng. Int. 32 (2016), pp. 1693–1705.
  • R.D. Guevara-González, J.A. Vargas-Navas, and D.L. Linero-Segrera, Profile monitoring for compositional data, Rev. Colomb. Estad. 37 (2014), pp. 159–181.
  • X.L. Hu, P. Castagliola, J.S. Sun, and M.B.C. Khoo, Economic design of the upper-sided synthetic chart with measurement errors, Int. J. Prod. Res. 54 (2016), pp. 5651–5670.
  • X. Hu, P. Castagliola, J. Sun, and M.B.C. Khoo, Effect of measurement errors on the VSI X¯ chart, Eur. J. Ind. Eng. 10 (2016), pp. 224–242.
  • X. Hu, P. Castagliola, J. Sun, and M.B.C. Khoo, The performance of variable sample size X¯ chart with measurement errors, Qual. Reliab. Eng. Int. 32 (2016), pp. 969–983.
  • K.W. Linna and W.H. Woodall, Effect of measurement error on Shewhart control charts, J. Qual. Technol. 33 (2001), pp. 213–222.
  • K.W. Linna, W.H. Woodall, and K.L. Busby, The performance of multivariate control charts in the presence of measurement error, J. Qual. Technol. 33 (2001), pp. 349–355.
  • M. Lipp and E. Anklam, Review of cocoa butter and alternative fats for use in chocolate – Part A. Compositional data, Food. Chem. 62 (1998), pp. 73–97.
  • M.R. Maleki, A. Amiri, and P. Castagliola, Measurement errors in statistical process monitoring: A literature review, Comput. Ind. Eng. 103 (2017), pp. 316–329.
  • M.R. Maleki, A. Amiri, and R. Ghashghaei, Simultaneous monitoring of multivariate process mean and variability in the presence of measurement error with linearly increasing variance under additive covariate model, Int. J. Eng. Trans. A 29 (2016), pp. 471–480.
  • K.V. Mardia, J.T. Kent, and J.M. Bibby, Multivariate Analysis, Probability and Mathematical Statistics, Academic Press, London, 1979.
  • D.C. Montgomery, Introduction to Statistical Quality Control, 7th ed., John Wiley & Sons, New York, 2013.
  • V. Pawlowsky-Glahn, J.J. Egozcue, and R. Tolosana-Delgado, Modeling and Analysis of Compositional Data, John Wiley & Sons, New York, 2015.
  • F.J Pettijohn, P.E. Potter, and R. Siever, Sand and Sandstone, 2nd ed., Springer-Verlag, New York, 1987.
  • P.E. Potter, Modern sands of South America: Composition, provenance and global significance, Geol. Rundsch. 83 (1994), pp. 212–232.
  • A.A. Tang, P. Castagliola, J. Sun, and X. Hu, The effect of measurement errors on the adaptive EWMA X¯ chart, Qual. Reliab. Eng. Int. 34 (2018), pp. 609–630. Early view version available.
  • R. Tolosana-Delgado and H. Von Eynatten, Grain-size control on petrographic composition of sediments: Compositional regression and rounded zeros, Math. Geosci. 41 (2009), p. 869.
  • K.P. Tran, P. Castagliola, and G. Celano, The performance of the Shewhart-RZ control chart in the presence of measurement error, Int. J. Prod. Res. 54 (2016), pp. 7504–7522.
  • K.P. Tran, P. Castagliola, G. Celano, and M.B.C. Khoo, Monitoring compositional data using multivariate exponentially weighted moving average scheme, Qual. Reliab. Eng. Int. 34 (2018), pp. 391–402.
  • A. Vexler and A.D. Hutson, Statistics in the Health Sciences: Theory, Applications and Computing, CRC Press, Boca Raton, FL, 2018.
  • A. Vexler, A.D. Hutson, and X. Chen, Statistical Testing Strategies in the Health Sciences, Chapman & Hall CRC Biostatistics Series, Boca Raton, FL, 2016.
  • M. Vives-Mestres, J. Daunis-I-Estadella, and J.A. Martín-Fernández, Individual T2 control chart for compositional data, J. Qual. Technol. 46 (2014), pp. 127–139.
  • M. Vives-Mestres, J. Daunis-I-Estadella, and J.A. Martín-Fernández, Out-of-control signals in three-part compositional T2 control chart, Qual. Reliab. Eng. Int. 30 (2014), pp. 337–346.
  • S.F. Yang, H.W. Ho, and M.A. Rahim, Effects of measurement error on controlling two dependent process steps, Econ. Qual. Control 22 (2007), pp. 127–139.

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