Rounded zeros: Some practical aspects for compositional data

Geological Society Special Publication

Volumn 264, Issue , 2006, Pages 191-201

  Martín Fernández, Josep Antoni ^a   Thio Henestrosa S ^a  

^a UNIVERSITY OF GIRONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DATA SET; MULTIVARIATE ANALYSIS; SENSITIVITY ANALYSIS;

EID: 33751011129     PISSN: 03058719     EISSN: None     Source Type: Book Series    
DOI: 10.1144/GSL.SP.2006.264.01.14     Document Type: Article

References (19)

1. Aitchison, J. 1986. The statistical analysis of compositional data. Chapman & Hall, London. Reprinted (2003) by The Blackburn Press, Caldwell, NJ.
2. Aitchison, J. & Greenacre, M. 2002. Biplots of compositional data. Applied Statistics, 51, 375-392.
3. Aitchison, J. & Kay, J. W. 2003. Possible solutions of some essential zero problems in compositional data analysis. In: Thió-Henestrosa, S. & Martín-Fernández, J. A. (eds) Proceedings of CODAWORK '03, The First Compositional Data Analysis Workshop, October 15-17, University of Girona (Spain). CD-ROM (World Wide Web: http://ima.udg.es/Activitats/CoDaWork03/index.html#session2).
4. Bacon-Shone, J. 2003. Modelling structural zeros in compositional data. In: Thió-Henestrosa, S. & Martín-Fernández, J. A. (eds) Proceedings of CODAWORK'03, The First Compositional Data Analysis Workshop, October 15-17, University of Girona (Spain). CD-ROM (World Wide Web: http://ima.udg.es/Activitats/CoDaWork03/ index.html#session2).
5. Buccianti, A. & Rosso, F. 1999. A new approach to the statistical analysis of compositional (closed) data with observations below the 'detection limit'. Geoinformatica, 3, 17-31.
6. 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. Geological Society, London, Special Publications, 264, 1-10.
7. Fry, J. M., Fry, T. R. L. & McLaren, K. R. 2000. Compositional data analysis and zeros in micro data. Applied Economics, 32, 953-959.
8. Little, R. J. A. & Rubin, D. B. 2002. Statistical Analysis with Missing Data (2nd edn). John Wiley and Sons, New York.
9. Jobson, J. D. 1992. Applied multivariate data analysis, Vol II. Categorical and multivariate data analysis. Springer texts in statistics, Springer, New York.
10. Martín-Fernández, J. A., Bren, M., Barceló-Vidal, C. & Pawlowsky-Glahn, V. 1999. A measure of difference for compositional data based on measures of divergence. In: Proceedings of IAMG'99. Trondheim, Norway, 1, 211-216.
11. Martín-Fernández, J. A., Barceló-Vidal, C. & Pawlowsky-Glahn, V. 2000. Zero replacement in compositional data sets. In: Kiers, H. A. L., Rasson, J.-P., Groenen, P. J. F. & Schader, M. (eds) Proceedings of the 7th Conference of the International Federation of Classification Societies, University of Namur (Belgium). Springer-Verlag, Berlin, Germany, 155-160.
12. Martín-Fernández, J. A., Barceló-Vidal, C. & Pawlowsky-Glahn V. 2003a. Dealing with zeros and missing values in compositional data sets. Mathematical Geology, 35 (3), 253-278.
13. Martín-Fernández, J. A., Palarea-Albaladejo, J. & Gómez-García, J. 2003b. Markov Chain Monte Carlo Method Applied to Rounding Zeros of Compositional Data: First Approach. In: Thió-Henestrosa, S. & Martín-Fernaández, J. A. (eds) Proceedings of CODAWORK'03, The First Compositional Data Analysis Workshop, October 15-17, Univeristy of Girona (Spain). CD-ROM (World Wide Web: http://ima.udg.es/Activitats/CoDaWork03/index.html#session2).
14. Martín-Fernández, J. A., Ó.Kovács, L., Kovács, G. P. & Pawlowsky-Glahn, V. 2004a. The treatment of zeros in compositional data analysis: the database of cenozoic volcanites of Hungary. 32nd International Geological Conference, Florence (I), Abstracts Volume, part 1, abstract 41-12, p. 213.
15. Martín-Fernández, J. A., Pawlowsky-Glahn, V., Ó.Kovács, L. & Kovács, G. P. 2004b. Subcompositonal exploration in the database of cenozoic volcanites of Hungary. 32nd International Geological Conference, Florence (I), Abstracts Volume, part 1, abstract 41-16, p. 214.
16. Ó.Kovács, L. & Kovács, G. P. 2001. Petrochemical database of the Cenozoic volcanites in Hungary: structure and statistics. Acta Geologica Hungarica, 44 (4), 381-417.
17. Pawlowsky-Glahn, V. & Egozcue, J. J. 2006. Compositional data and their analysis: an introduction. In: Buccianti, A., Mateu-Figueras, G., & Pawlowsky-Glahn, V. (eds) Compositional Data Analysis in the Geosciences: From Theory to Practice. Geological Society, London, Special Publications, 264, 1-10.
18. Sandford, R. F., Pierson, C. T. & Crovelli, R. A. 1993. An objective replacement method for censored geochemical data. Mathematical Geology, 25 (1), 59-80.
19. Tauber, F. 1999. Spurious clusters in granulometric data caused by logratio transformation. Mathematical Geology, 31 (5), 491-504.