52
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Calibration of compositional measurements

, &
Pages 6773-6788 | Received 30 Nov 2012, Accepted 23 Aug 2013, Published online: 23 Aug 2016

References

  • Aitchison, J. (1986). The Statistical Analysis of Compositional Data. London: Chapman and Hall.
  • Aitchison, J. (1990). Relative variation diagrams for describing patterns of compositional variability. Math. Geol. 22: 487–511.
  • Benjamini, Y., Hochberg, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing. J. Roy. Statist. Soc. Ser. B Methodolog. 57(1): 289–300.
  • Brown, P.J. (1993). Measurement, Regression and Calibration. Oxford: Clarendon Press.
  • Donevska, S., Fišerová, E., Hron, K. (2011). On the equivalence between orthogonal regression and Linear model with Type-II constraints. Acta Univ. Palacki. Olomuc. Fac. Rerum. Nat. Math. 50: 19–27.
  • Egozcue, J.J., Pawlowsky-Glahn, V., Mateu-Figueras, G., Barceló-Vidal, C. (2003). Isometric logratio transformations for compositional data analysis. Math. Geol. 35: 279–300.
  • Egozcue, J.J., Pawlowsky-Glahn, V. (2006). Simplicial geometry for compositional data. In: Buccianti, A., Mateu-Figueras, G., Pawlowsky-Glahn, V., Eds., Compositional Data Analysis in the Geosciences: From Theory to Practice. London: Geological Society, Special Publications: 145–160.
  • Egozcue, J.J. (2009). Reply to “On the Harker Variation Diagrams;...” by J.A. Cortés. Math. Geosci. 41: 829–834.
  • Fišerová, E., Hron, K. (2010). Total least squares solution for compositional data using linear models. J. Appl. Statist. 37: 1137–1152.
  • Fišerová, E., Hron, K. (2011). On interpretation of orthonormal coordinates for compositional data. Math. Geosci. 43: 455–468.
  • Fišerová, E., Hron, K. (2012). Statistical inference in orthogonal regression for three-part compositional data using a Linear model with Type-II constraints. Commun. Statist. Theor. 41: 2367–2385.
  • Hillegers, L.T.M.E. (1986). The estimation of parameters in functional relationship models. Dissertation, Eindhoven University of Technology, The Netherlands.
  • Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scand. J. Statist. 2: 65–70.
  • Kendall, M.G., Stuart, A. (1967). The Advanced Theory of Statistics. London: Charles Griffin.
  • Kubáček, L., Kubáčková, L., Ševčik, J. (2002). Linear conform transformation: errors in both coordinate systems. Appl. Math. 47: 361–380.
  • Mateu-Figueras, G., Pawlowsky-Glahn, V., Egozcue, J.J. (2013). The normal distribution in some constrained sample spaces. Statist. Operat. Res. Trans. 37(1): 29–55.
  • Osborne, Ch (1991). Statistical calibration: a review. Int. Statist. Rev. 59: 309–336.
  • R Development Core Team (2012). R: A Language and Environment for Statistical Computing. Vienna; http://www.r-project.org.
  • Storey, J.D., Tibshirani, R. (2003). Statistical significance for genomewide studies. PNAS 100(16): 9440–9445.
  • von Eynatten, H., Pawlowsky-Glahn, V., Egozcue, J.J. (2002). Understanding perturbation on the simplex: A simple method to better visualize and interpret compositional data in ternary diagrams. Math. Geol. 34: 249–257.
  • Wimmer, G., Witkovský, V. (2007). Univariate linear calibration via replicated errors-in-variables model models. J. Statist. Comput. Simul. 77: 213–227.
  • Wimmer, G., Witkovský, V. (2011). Note on a calibration problem: selected results and extensions of professor Kubáček’s Research. Acta Univ. Palacki. Olomuc. Fac. Rerum. Nat. Math. 50: 121–128.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.