The Monitoring of Dirichlet Compositional Data
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D. C. Montgomery, Introduction to Statistical Quality Control, Sixth Edition. 2009.
L. Foley, D. Dumuid, A. J. Atkin, T. Olds, and D. Ogilvie, “Patterns of health behaviour associated with active travel: A compositional data analysis,” Int. J. Behav. Nutr. Phys. Act., 2018, doi: 10.1186/s12966-018-0662-8.
T. P. Quinn, I. Erb, G. Gloor, C. Notredame, M. F. Richardson, and T. M. Crowley, “A field guide for the compositional analysis of any-omics data,” Gigascience, 2019, doi: 10.1093/gigascience/giz107.
K. Pearson, “Mathematical contributions to the theory of evolution. —On a form of spurious correlation which may arise when indices are used in the measurement of organs,” Proc. R. Soc. London, vol. 60, no. 359-367, pp. 489-498, Dec. 1897, doi: 10.1098/rspl.1896.0076.
V. Pawlowsky-Glahn and A. Buccianti, Compositional Data Analysis: Theory and Applications. 2011.
J. Aitchison, The Statistical Analysis of Compositional Data. 1986.
P. Praus, “Robust multivariate analysis of compositional data of treated wastewaters,” Environ. Earth Sci., 2019, doi: 10.1007/s12665-019-8248-6.
J. J. Egozcue, V. Pawlowsky-Glahn, and G. B. Gloor, “Linear association in compositional data analysis,” Austrian J. Stat., 2018, doi: 10.17713/ajs.v47i1.689.
V. Pawlowsky-Glahn, “Peter Filzmoser, Karel Hron, Matthias Templ: Applied compositional data analysis, with worked examples in R,” Stat. Pap., vol. 61, no. 2, pp. 921-922, 2020, doi: 10.1007/s00362-020-01163-7.
R. A. Boyles, “Using the chi-square statistic to monitor compositional process data,” J. Appl. Stat., 1997, doi: 10.1080/02664769723567.
G. Yang, D. B. H. Cline, R. L. Lytton, and D. N. Little, “Ternary and Multivariate Quality Control Charts of Aggregate Gradation for Hot Mix Asphalt,” J. Mater. Civ. Eng., 2004, doi: 10.1061/(asce)0899-1561(2004)16:1(28).
M. Vives-Mestres, J. Daunis-I-Estadella, and J. A. Martín-Ferní¡ndez, “Individual T2 control chart for compositional data,” J. Qual. Technol., 2014, doi: 10.1080/00224065.2014.11917958.
J. J. Egozcue, V. Pawlowsky-Glahn, G. Mateu-Figueras, and C. Barceló-Vidal, “Isometric Logratio Transformations for Compositional Data Analysis,” Math. Geol., 2003, doi: 10.1023/A:1023818214614.
M. Vives-Mestres, J. Daunis-I-Estadella, and J. A. Martín-Ferní¡ndez, “Out-of-control signals in three-part compositional T2 control chart,” 2014, doi: 10.1002/qre.1583.
M. Vives-Mestres, J. Daunis-i-Estadella, and J. A. Martín-Ferní¡ndez, “Signal interpretation in Hotelling’s T2 control chart for compositional data,” IIE Trans. (Institute Ind. Eng., 2016, doi: 10.1080/0740817X.2015.1125042.
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., 2018, doi: 10.1002/qre.2260.
F. Alt and K. Jain, “Multivariate quality controlMultivariate quality control,” in Encyclopedia of Operations Research and Management Science, S. I. Gass and C. M. Harris, Eds. New York, NY: Springer US, 2001, pp. 544-550.
A. Ongaro and S. Migliorati, “A generalization of the dirichlet distribution,” J. Multivar. Anal., 2013, doi: 10.1016/j.jmva.2012.07.007.
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