Logcontrast PLS discriminant model of compositional data

2009 Chinese Control and Decision Conference, CCDC 2009

Volumn , Issue , 2009, Pages 2179-2184

  Jie, Meng ^a  

^a CENTRAL UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

Compositional data; Discriminant; Logcontrast; Partial least squares

Indexed keywords

ALGEBRAIC THEORIES; COMPOSITIONAL DATA; DISCRIMINANT; DISCRIMINANT FUNCTIONS; DISCRIMINANT MODELS; LOGCONTRAST; MODELING METHOD; MODELING PROCESS; MODELING RESULTS; PARTIAL LEAST SQUARES; STATISTICAL DISTRIBUTION; TRANSFORMED VARIABLES;

EID: 70449392865     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2009.5191571     Document Type: Conference Paper

References (13)

1. Aitchison J. The statistical analysis of compositional data[M]. London: Chapman and Hall, 1986.
2. Barker M., Rayen W. Partial least squares for discrimination[J]. Journal of Chemometrics, 2003, 17: 166-173.
3. Ferrers N. M. An elementary treatise on trilinear coordinates[M]. London: Macmillan London, 1866.
4. Hinkle J., Rayens W. Partial least squares and compositional data: problems and alternatives[J]. Chemoemtrics and Intelligent Laboratory Systems, 1995, 30: 159-172.
5. Meng J. Multivariate analysis methods of compositional data[D]. Beihang University, 2007.
6. Pearson K. On a form of spurious correlation which may arise when indices are used in the measurement of organs[J]. Proceedings of the Royal Society (London). Series A, 1897, 60: 489-498.
7. Vong R., Geladi P., Wold S., Esbensen K. Source contributions to ambient aerosol calculated by discriminant partial least squares regression[J]. Journal of Chemometrics, 1988, 2: 281-296.
8. Wang H. W., Huang W. A simple linear regression model based on the compositional data[J]. System Engineering, 2003, 21(2): 102-106.
9. Wang H. W., Meng J., Tenenhaus M. Regression Modeling Analysis on Compositional Data[C]. Handbook of Partial Least Squares-Concepts, Methods and Applications in Marketing and Related Fields, Springer, due 2008, 11.
10. Wang H. W., Zhang Z. H., Tenenhaus M. A multiple linear regression modeling method based on the compositional data[J]. Journal of Management Sciences in China, 2006, 9(4): 27-32.
11. Wold S., Albano C., et al. Pattern recognition: finding and using regularities in multivariate data[C]. Food Research and Data Analysis. London: Applied Science Publishers, 1983: 147-188.
12. Zhang Y. T. Introduction of compositional data statistics[M]. Beijing: Science Press, 2000.
13. Zhou D., Zhang P. D. The statistical analysis of compositional data[M]. Wuhan: China University of Geoscience Press. 1990.